{"level":"info","input":{"Message":"[เสียงดนตรี] (คุณครูอดิสรณ์) จุดประสงค์การเรียนรู้ 1. อธิบายความสัมพันธ์ระหว่างปริมาตร กับอุณหภูมิของแก๊ส โดยใช้ความสัมพันธ์ตามกฎของชาร์ลได้ 2. คำนวณหาปริมาตรหรืออุณหภูมิของแก๊ส โดยใช้กฎของชาร์ล หลังจากที่เราได้ศึกษาความสัมพันธ์ ระหว่างปริมาตรแล้วก็ความดัน ในหัวข้อที่แล้วครับ คือ เป็นไปตามความสัมพันธ์ตามกฎของบอยล์ ทุกคนจำได้ใช่ไหมครับ ว่าปริมาตรก็จะแปรผกผันกับความดันครับ และในหัวข้อนี้ครับ เราก็จะมาศึกษาความสัมพันธ์ ระหว่างปริมาตรและก็อุณหภูมิของแก๊สนะครับ สำหรับในหัวข้อนี้ครับ เราก็จะมีกิจกรรมเล็ก ๆ ที่ทุกคนสามารถทำเล่นที่บ้านได้ นึกออกไหมครับ ก็มีน้ำยาล้างจานนะครับ แล้วก็มีน้ำครับ แล้วก็มีขวดนะครับ และอาจจะต้องเตรียมน้ำอุ่น ๆ ครับ และก็น้ำผสมกับน้ำแข็ง เอาอย่างนี้แล้วกันครับ ถ้านักเรียนไม่อยากจะเตรียมเองครับ ครูก็มีคลิปการทดลองให้ทุกคนได้ดูเหมือนเคยครับ ถ้าทุกคนพร้อมแล้วครับ เราไปดูกันว่ากิจกรรมนี้หรือว่าการทดลองนี้ เขาทำอย่างไรกันบ้าง ถ้าพร้อมแล้วไปดูกันครับผม (บรรยาย) การทดลองศึกษาความสัมพันธ์ ระหว่างปริมาตรและอุณหภูมิของอากาศ ผสมน้ำกับน้ำยาล้างจาน ในอัตราส่วน 2 : 1 [เสียงดนตรี] (บรรยาย) จุ่มปากขวด ลงในสารละลายน้ำยาล้างจาน แล้ววางบนน้ำร้อน อุณหภูมิประมาณ 60 °C ค่ะ สังเกตฟิล์มบางที่ปากขวดนะคะ จุ่มปากขวดลงในสารละลายน้ำยาล้างจาน แล้ววางบนน้ำผสมน้ำแข็ง สังเกตฟิล์มบางที่ปากขวดนะคะ [เสียงดนตรี] (คุณครูอดิสรณ์) โอเคนะครับ จากคลิปการทดลองนะครับ เราจะสังเกตว่าจำนวนโมลของอากาศ ที่อยู่ในขวดจะมีค่าคงที่ครับ รวมถึงความดันก่อนและหลังการทดลองด้วย ก็จะมีค่าคงที่ครับ อันแรกเลยครับ ก็คือเราจุ่มปากขวดในสารละลายผสม ทำให้เกิดฟิล์มจริงไหมครับ จากนั้น จากคลิปการทดลองนี่ ก็เอาไปวางบนน้ำร้อน ที่อุณหภูมิประมาณ 60°C ครับ ผลก็คืออะไรครับ นักเรียนทุกคนจำคลิปเมื่อสักครู่ได้ใช่ไหมครับ ฟิล์มนี่ครับ น้ำยาล้างจานมีลักษณะพองขึ้นมา โอเคไหมครับ แสดงว่าอะไรครับ แสดงว่าถ้าเราเพิ่มอุณหภูมิครับ ปริมาตรของอากาศที่อยู่ในขวดก็จะทำไมครับ เพิ่มขึ้นด้วย โอเคไหมครับ และอีกการทดลองหนึ่งครับ ซึ่งอยู่ในคลิปเดียวกันเลยครับ ก็คือทำลักษณะเหมือนเดิมครับ ก็คือเกิดฟิล์มที่บริเวณปากขวดแล้วใช่ไหมครับ ก็ไปวางบนน้ำผสมน้ำแข็งครับ และเราก็สังเกตลักษณะฟิล์มน้ำยาล้างจาน ที่ปากขวดครับ ผลคืออะไรครับผม ฟิล์มน้ำยาล้างจานมีลักษณะยุบตัวลงไป โอเคไหมครับ ยุบลงไปนะครับ แสดงว่าอะไรครับ แสดงว่าเมื่อเรานี่ ลดอุณหภูมิครับ ปริมาตรของแก๊ส หรือปริมาตรของอากาศที่อยู่ในขวด ก็จะทำไมด้วย ลดลงด้วย โอเคไหมครับ จากการทดลองนี้นะครับ เราสามารถอภิปรายได้ง่าย ๆ เลยครับ ว่าจริง ๆ แล้วนี่นะครับ ถ้าเราเพิ่มอุณหภูมิ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น ถ้าเราลดอุณหภูมิครับ ปริมาตรของแก๊สก็จะทำไมครับ ลดลง เรามาสรุปผลการทดลองสักนิดครับ ก็คือที่ความดันที่จำนวนโมลของแก๊สคงที่ครับนะ จากการทดลองครับ เราจะสังเกตว่าเมื่ออุณหภูมิสูงขึ้นครับ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น โอเคไหม จากการทดลองครับ เราก็สังเกตลักษณะฟิล์มน้ำยาล้างจาน ที่มีลักษณะพองขึ้นมา โอเคนะครับ แล้วก็เมื่อเราลดอุณหภูมินะครับ ปริมาตรของแก๊สก็จะทำไมครับ ลดลงครับ จากการทดลองครับ ก็สังเกตได้จากฟิล์มของน้ำยาล้าง ที่มีลักษณะยุบตัวลง โอเคนะครับ จากการทดลองครับ จะเห็นว่าอุณหภูมิก็จะมีความสัมพันธ์กับปริมาตร โอเคนะ หรือครูเขียนได้ง่าย ๆ แบบนี้ครับ ว่าอุณหภูมิแปรผันตรงกับ V เลยครับ โอเคนะ ถ้าหรือคุณต่ำ ๆ ปริมาตรก็จะลดครับ ถ้าอุณหภูมิสูง ๆ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น โอเคนะครับทุกคน จากความสัมพันธ์เมื่อสักครู่นะครับ คือที่เราได้สรุปกันไปนะครับ ก็คือว่าถ้าอุณหภูมิเพิ่มขึ้น ปริมาตรของแก๊สก็จะเพิ่มขึ้นครับ ถ้าอุณหภูมิลดลงปริมาตรของแก๊สก็จะลดลงครับ จริง ๆ ความสัมพันธ์นี้ มีนักวิทยาศาสตร์ได้เคยศึกษาไว้แล้วครับ นักวิทยาศาสตร์ท่านนี้นะครับ มีชื่อว่า Charles นะครับ Alexandre-Cesar Charles โอ้โห ชื่อเท่มากครับ ก็เป็นนักวิทยาศาสตร์ชาวฝรั่งเศสครับ เขาได้ศึกษานะครับ โดยทำการทดลองกับบอลลูน โอเคไหมครับ แล้วพบว่าอะไรครับ พบว่าแก๊สเพิ่มขึ้นตามอุณหภูมิที่เพิ่มขึ้นครับ ซึ่งต่อมาได้รับการยืนยันโดยผลการทดลอง ของ Joseph-Louis Gay-Lussac ชื่อสุด ๆ จริง ๆ ครับ จริง ๆ นะครับ เรื่องนี้ก็เป็นการคอนเฟิร์ม ว่าเราสามารถอธิบาย การลอยตัวของบอลลูนได้ นึกออกไหมครับ หรือว่าโคมลอยหรือว่ายี่เป็ง ที่เรารู้จักกันใช่ไหมครับ ก็คือเราจะจุดไฟข้างล่างครับ หรือแม้แต่บอลลูน ก็จะมีอุปกรณ์ให้ความร้อนข้างล่างครับ พอเขาเพิ่มอุณหภูมิหรือว่าเพิ่มไฟครับ บอลลูนนี่ก็สามารถลอยขึ้นได้ครับ เพราะว่าอากาศที่อยู่ในบอลลูนนี่ ก็จะมีการขยายตัว นึกออกไหมครับ หรือแม้แต่ลูกปิงปองที่บุบนะครับ เมื่อเราไปแช่น้ำร้อนก็จะพองตัวนึกออกหรือเปล่า เพราะว่าเมื่ออุณหภูมิเพิ่มขึ้น ปริมาตรของแก๊สที่อยู่ในลูกปิงปองก็จะเพิ่มขึ้นครับ ก็จะดันให้ลูกปิงปอง สามารถกลับมาใช้งานได้เหมือนเดิมนะครับ คราวนี้นะครับ ถ้าเราได้ทำการทดลองหลาย ๆ ครั้งครับ โดยวัดปริมาตรของแก๊ส ณ อุณหภูมิต่าง ๆ แล้วก็นำมาเขียนกราฟ หรือว่านำมาพล็อตกราฟครับ โดยไปการพล็อตระหว่างปริมาตรแล้วก็อุณหภูมิ ที่ความดันและจำนวนโมลของแก๊สคงที่นะครับ กราฟที่ได้ ก็จะมีลักษณะเป็นกราฟเส้นตรงแบบนี้เลยครับ โอเคไหม และจากนั้นกราฟเส้นตรงนี้นะครับ ถ้าเราต่อกราฟจนถึงจุดตัดแกน x ครับ คือตรงนี้ครับ จุดตัดแกน x เราจะสังเกตว่า มีค่าเท่ากับ -273.15 °C นะครับ และดูตรงนี้นะครับ ก็คือแกน y นี่ก็จะมีค่าเป็น 0 ตรงนี้คืออะไรครับ อุณหภูมิที่แก๊สมีปริมาตรเป็น 0 ครับ ได้จากจุดที่เส้นกราฟนี่ตัดแกน x ก็คือตรงนี้เลย -273.15 °C หมายความว่า ณ อุณหภูมิเท่านี้ครับ ปริมาตรของแก๊สจะมีค่าเป็นทำไมครับ 0 โอเคไหมนะครับ ซึ่งไปสอดคล้องกับอุณหภูมิศูนย์สมบูรณ์ครับ หรือว่า 0 เคลวินนะครับ ที่เสนอโดยลอร์ดเคลวินครับ ก็มีค่าเท่ากับ -273.15 °C นะครับ โอเคนะ หรือพูดง่าย ๆ 0 เคลวิน ก็จะมีค่าเท่ากับ -273.15 °C นะครับ ที่ตรงนั้นทำให้ปริมาตรของแก๊สมีค่าเป็น 0 ครับ ความสัมพันธ์ระหว่างอุณหภูมิ หน่วยองศาเซลเซียส และเคลวินครับ ก็จะได้ดังนี้เลยครับ เพราะฉะนั้น ถ้าเรามีองศาเซลเซียสนะครับ ก็คือเราก็ไปบวก 273.15 °C แต่คราวนี้ครับ ในการคำนวณสำหรับบทนี้นะครับ เราใช้แค่ 273 พอ โอเคนะ เพราะฉะนั้น ต่อไปในการคำนวณครับ ถ้าโจทย์ให้เป็นองศาเซลเซียส และต้องการเป็นเคลวิน เราก็บวกไป 273 เก็ตนะครับผมทุกคน จากความสัมพันธ์ระหว่างปริมาตรกับอุณหภูมิครับ ในหน่วยเคลวิน พบว่าปริมาตรแปรผันตรงกับอุณหภูมินะครับ ในหน่วยเคลวินด้วยนะครับ เรียกความสัมพันธ์นี้ว่า \"กฎของชาร์ล\" โอเคนะ กฎของชาร์ลครับ ง่าย ๆ ครับ ก็คือปริมาตรแปรผันตรงกับอุณหภูมิ โอเคนะทุกคนนะครับ คราวนี้นะครับ ถ้าเกิดครูนี่ อยากจะเปลี่ยนเครื่องหมายแปรผันเป็นเท่ากับ เราก็ใส่ทำไมครับ ค่าคงที่ โอเคนะครับ และครูก็ย้าย T ไปหารครับ เพราะฉะนั้น V ส่วน T ก็ได้ค่าคงที่ แต่มีข้อแม้นิดหนึ่งครับ แล้วเรียนทำพลาดครับ T ตรงนี้ หน่วยจะต้องเป็นเคลวิน หลาย ๆ คนอาจจะสงสัย ครู แล้วถ้าเกิดไปเป็นองศาเซลเซียสล่ะ ถ้าเป็นองศาเซลเซียสนะครับ V ส่วน T ตรงนี้ จะไม่ได้ค่าคงที่ครับ ถ้า T₁V₁ ครับ เป็นอุณหภูมิและปริมาตรที่สภาวะที่ 1 ครับ เราก็จะได้ว่า V₁ ส่วนที่ 1 ก็เท่ากับค่าคงที่ และสภาวะที่ 2 ครับ ที่ T₂V₂ เป็นอุณหภูมิและปริมาตรนะครับ ก็จะได้ว่า V₂ ส่วน T₂ ครับ ก็ได้ค่าคงที่ ไม่งงนะ ตรงนี้ก็ได้ค่าคงที่ ตรงนี้ก็ได้ค่าคงที่ ซึ่งข้างนี้… ตรงนี้จะมีค่าทำไมกันครับ เท่ากัน เรานะครับ สามารถเขียนให้อยู่ในรูป ที่สามารถใช้คำนวณหาปริมาตร หรืออุณหภูมิของแก๊สที่ 2 สภาวะได้นะครับ ก็จะได้ใครเป็น V₁ ส่วน T₁ จะเท่ากับ V₂ ส่วน T₂ ครับ เมื่อความดันและจำนวนโมล ของแก๊สจะทำไมนะครับ คงที่ ไม่ยากนะครับ ตรงนี้ครับ เป็นความสัมพันธ์เป็นไปตามกฎของชาร์ล เดี๋ยวเรามาดูแบบฝึกหัดครับ เรื่องความสัมพันธ์ระหว่างปริมาตร แล้วก็อุณหภูมิของแก๊สกันนะครับ มาดูข้อที่ 1 นะครับ เขาบอกว่าแก๊สบรรจุที่กระบอกสูบ ที่อุณหภูมิ 25 °C นะครับ ความดัน 0.980 atm นะครับ เมื่อให้ความร้อนแก่บอกสูบนี่นะครับ ลูกสูบก็จะขยายตัวจาก 1 L ไปเป็นทำไมครับ 2 L ครับ ถ้าให้ความดันของแก๊สคงที่ครับ ข้อนี้โจทย์ถามว่าอุณหภูมิสุดท้าย ควรมีค่าเท่าไรนะครับ ทุกคนจำได้ใช่ไหมครับ จากความสัมพันธ์ตามกฎของชาร์ลครับ เราจะได้ว่าอะไรครับ ก็คือกลายเป็น V₁ ส่วน T₁ ใช่ไหม เท่ากับอะไรครับ V₂ ส่วน T₂ ครับ ถึงตรงนี้นะครับ ครูอยากลองให้นักเรียนทุก ๆ คน ได้ลองทำเองดูครับผม มา ลอง Stop เทปครับ แล้วลองแทนค่าดูก่อนครับผม น่าจะได้ทุกคนนะครับ แทนค่าได้นะครับ V₁ คืออะไรครับ V₁ ครับ สังเกตนะครับ ลูกสูบขยายตัวจาก 1 L ไปเป็นทำไมครับ 2 L แสดงว่า V₁ ก็คือ 1.00 L เลย โอเคไหมนะครับ และ T₁ ก็คือที่อุณหภูมิทำไมครับ 25 °C ถ้าถามว่า 25 °C เรามาแทนได้ไหม ไม่ได้นะครับ ก็คือเราต้องแปลงเป็นเคลวินก่อน โอเคไหมครับ เพราะฉะนั้น ตรงนี้ครูเขียนแบบนี้เลย ก็เป็น 25 นี่ เราต้องบวกเท่าไรก่อนครับ 273 โอเคนะ หน่วยถึงจะเป็นเค… อะไรครับ เคลวิน โอเคนะ ก็จะเท่ากับ V₂ ครับ ปริมาตร คือ 2.00 L ครับ โอเคนะ ถามว่า T₂ ครับ อุณหภูมิสุดท้ายเป็นเท่าไรนะครับ แค่นี้เองครับ หลังจากนั้นเราก็โยกย้ายเหมือนเดิมครับ T₂ ก็จะกลายเป็น 2.00 L ใช่ไหมครับ โอเค คูณกับ 2.98 เคลวิน ไม่งงนะ 25 + 2.73 ก็จะกลายเป็น 2.98 k นะครับ ครูก็ย้ายขึ้นมาคูณเลยครับ แล้วก็เอา 1.00 L มาหารครับ เหมือนเดิมครับ ก็ครูเขียนหน่วย แล้วก็ตัดหน่วย โอเคไหม เพราะฉะนั้น หน่วยที่ได้ ก็จะกลายเป็นเค… อะไรครับ เคลวิน ซึ่งนักเรียนทุกคนน่าจะคิดตัวเลขออกมาแล้วครับ ข้อนี้ง่าย ๆ ครับ ไม่มีอะไรครับ ฝึกการแทนค่า โอเคไหม แก้จากสภาวะหนึ่งไปสู่อีกสภาวะหนึ่งครับ เมื่อ VT เปลี่ยนนะครับนะ ซึ่งพวกเราน่าจะได้ออกมาแล้วนะครับ ได้เท่ากับเท่าไรครับผม ได้เท่ากับ 596 เคลวิน โอเคไหมครับนะ คราวนี้ต้องดูโจทย์ด้วยนะครับ ว่าโจทย์ต้องการอุณหภูมิเป็นหน่วยเป็นอะไรครับ ถ้าเป็นเคลวินก็ตอบได้เลย แต่ถ้าเกิดโจทย์อยากได้เป็นองศาเซลเซียสนี่ อย่าลืมนะ เราต้องเอา 273 ไปลบนะครับ โอเคนะครับ ข้อนี้ข้อที่ 1 ครับ ทุกคนน่าจะเรียบร้อย ข้อที่ 2 นะครับ ลูกโป่งบรรจุด้วยแก๊สปริมาตรหนึ่ง มีความดันค่าหนึ่งครับ ซึ่งอุณหภูมิที่ 25 °C มีปริมาตรเท่ากับ 2.00 L เลยนะครับ เมื่อนำลูกโป่งออกไปข้างนอก ที่มีอุณหภูมิต่ำมาก ๆ เลย คือที่ -20 ครับ นี่ต่ำมากเลยนะครับ ถ้าให้ความดันของแก๊สในลูกโป่งมีค่าคงที่ครับ ข้อนี้ครับ โจทย์อยากทราบว่าปริมาตรของลูกโป่ง ณ อุณหภูมิที่ -20 °C นี่ จะมีปริมาตรเท่าไร ข้อนี้ครับ ครูอ่านโจทย์ได้แล้วครับ อยากให้ทุกคนเขียนความสัมพันธ์เองครับ และลองแทนค่าดูก่อนครับผม ข้อนี้ง่าย ๆ ครับ ครูคิดว่าทุกคนก็จะทำได้ เรียนเชิญครับ หรือใครลอง Stop เทปทำเองก่อนก็ได้นะครับ โอเคนะครับ ทุกคนน่าจะได้นะครับ จากความสัมพันธ์ของชาร์ลครับ ก็คือ V₁ ส่วน T₁ เท่ากับอะไรทุกคน V₂ ส่วน T₂ ใช่ไหม ก็แทนคิดธรรมดาครับ ไม่มีอะไรครับ ก็คือตอนแรกปริมาตรเท่ากับ 2.00 L ที่อุณหภูมิ 25 โอเคนะ ก็แทนไปครับ ก็แสดงว่า ตัวนี้ก็เป็น 2.00 L ครับผม อุณหภูมิ มุกเดิมนะ ห้ามแทนหน่วยเป็นองศาเซลเซียสนะครับ ถ้าเกิดโจทย์ให้เป็นองศาเซลเซียสมา เราต้องบวก 273 เพราะฉะนั้น 25 + 273 ก็คือคล้าย ๆ กับข้อที่แล้วเลยครับ ครูเขียนไปเลยแล้วกันนะ ก็เป็น 298 เคลวินนะครับ โอเคนะ ก็เท่ากับ… ครับ โจทย์ต้องการหาค่า V₂ ครับ โอเคนะ และเขาให้หา V₂ ใช่ไหม ปริมาตรของลูกโป่งที่อุณหภูมิ -20 ครับ เพราะฉะนั้น ตรงนี้เราต้องแทนแบบนี้นะ -20.0 + 273 เคลวิน โอเคไหม ไม่งงครับ ถ้าโจทย์ให้มาเป็นองศาเซลเซียส โอเคนะ โดยจะให้เป็นองศาเซลเซียส ถ้าเราต้องการแปลงเป็นเคลวินครับ เราต้องบวกทำไมครับ 273 โอเค เพราะฉะนั้น เราก็โยกย้ายธรรมดาครับ เพราะฉะนั้น V₂ ก็คือเป็นเท่าไรทุกคน ก็เป็น 2.00 L ครับ โอเคไหมครับ ตรงนี้ครับ 273 + (-20) ครับ ก็จะได้กลายเป็น 253 เคลวินครับ โอเคนะ แล้วหารด้วย 298 เคลวินครับ ย้ายข้างธรรมดานะครับ โอเคนะ จากนั้น เคลวินตัดกับเคลวินครับ ครูคิดว่านักเรียนทุกคนคิดเลขได้ครับ ไม่ได้ยากครับ เลขคิดได้เท่าไรครับผม คิดได้เท่ากับ 1.70 L ใช่ไหมครับ โอเคนะครับ ก็จะได้เท่ากับ 1.70 L ครับ ไม่ยากเลยใช่ไหมครับ จากที่เราได้เรียนไปครับ เดี๋ยวเรามาสรุปความสัมพันธ์ ระหว่างปริมาตรและอุณหภูมิกันสักนิดนะครับ ข้อที่ 1 ครับ เมื่อความดัน และจำนวนโมลของแก๊สคงที่นะครับ ปริมาตรน V ก็จะแปรผันตรงกับอุณหภูมิครับ ที่ไม่งงนะครับ ก็คือถ้าอุณหภูมิสูง ปริมาตรก็เพิ่มครับ ถ้าอุณหภูมิลดลง ปริมาตรก็จะลดลงด้วย ความสัมพันธ์นี้ เรียกว่า \"กฎของชาร์ล\" เยี่ยมมาก ๆ ครับทุกคน อันที่ 2 ครับ เราสามารถคำนวณหาปริมาตร หรืออุณหภูมิก็ได้นะครับ เมื่อความดันและจำนวนโมลของแก๊สคงที่ครับ เมื่อแก๊สเปลี่ยนจากสภาวะหนึ่ง ไปสู่สภาวะหนึ่งครับ จากความสัมพันธ์นี้เลยครับ V₁ ส่วน T₁ = V₂ ส่วน T₂ ครับ อย่างไรก็ฝากความสัมพันธ์นี้ ไว้ในอ้อมอกอ้อมใจ ของนักเรียนทุกคนด้วยแล้วกันครับผม สำหรับข้อนี้ครับ ครูก็คิดว่านักเรียนทุกคนน่าจะเข้าใจครับ [เสียงดนตรี]","Candidate":3,"Ordering":true,"Spacing":true,"SpacingFile":null,"WordToNumber":true,"EnWord":true,"ThWord":true,"Transliteration":true,"TransliterationMatchingCase":"insensitive","TransliterationFile":null,"Reduplication":true,"Corrector":true,"Register":true,"RegisterFile":null},"time":"2025-05-23T14:45:39+07:00","caller":"/go/src/app/internal/handler/text_improver.go:95"}
{"level":"info","ordering":"[เสียงดนตรี] (คุณครูอดิสรณ์) จุดประสงค์การเรียนรู้ 1. อธิบายความสัมพันธ์ระหว่างปริมาตร กับอุณหภูมิของแก๊ส โดยใช้ความสัมพันธ์ตามกฎของชาร์ลได้ 2. คำนวณหาปริมาตรหรืออุณหภูมิของแก๊ส โดยใช้กฎของชาร์ล หลังจากที่เราได้ศึกษาความสัมพันธ์ ระหว่างปริมาตรแล้วก็ความดัน ในหัวข้อที่แล้วครับ คือ เป็นไปตามความสัมพันธ์ตามกฎของบอยล์ ทุกคนจำได้ใช่ไหมครับ ว่าปริมาตรก็จะแปรผกผันกับความดันครับ และในหัวข้อนี้ครับ เราก็จะมาศึกษาความสัมพันธ์ ระหว่างปริมาตรและก็อุณหภูมิของแก๊สนะครับ สำหรับในหัวข้อนี้ครับ เราก็จะมีกิจกรรมเล็ก ๆ ที่ทุกคนสามารถทำเล่นที่บ้านได้ นึกออกไหมครับ ก็มีน้ำยาล้างจานนะครับ แล้วก็มีน้ำครับ แล้วก็มีขวดนะครับ และอาจจะต้องเตรียมน้ำอุ่น ๆ ครับ และก็น้ำผสมกับน้ำแข็ง เอาอย่างนี้แล้วกันครับ ถ้านักเรียนไม่อยากจะเตรียมเองครับ ครูก็มีคลิปการทดลองให้ทุกคนได้ดูเหมือนเคยครับ ถ้าทุกคนพร้อมแล้วครับ เราไปดูกันว่ากิจกรรมนี้หรือว่าการทดลองนี้ เขาทำอย่างไรกันบ้าง ถ้าพร้อมแล้วไปดูกันครับผม (บรรยาย) การทดลองศึกษาความสัมพันธ์ ระหว่างปริมาตรและอุณหภูมิของอากาศ ผสมน้ำกับน้ำยาล้างจาน ในอัตราส่วน 2 : 1 [เสียงดนตรี] (บรรยาย) จุ่มปากขวด ลงในสารละลายน้ำยาล้างจาน แล้ววางบนน้ำร้อน อุณหภูมิประมาณ 60 °C ค่ะ สังเกตฟิล์มบางที่ปากขวดนะคะ จุ่มปากขวดลงในสารละลายน้ำยาล้างจาน แล้ววางบนน้ำผสมน้ำแข็ง สังเกตฟิล์มบางที่ปากขวดนะคะ [เสียงดนตรี] (คุณครูอดิสรณ์) โอเคนะครับ จากคลิปการทดลองนะครับ เราจะสังเกตว่าจำนวนโมลของอากาศ ที่อยู่ในขวดจะมีค่าคงที่ครับ รวมถึงความดันก่อนและหลังการทดลองด้วย ก็จะมีค่าคงที่ครับ อันแรกเลยครับ ก็คือเราจุ่มปากขวดในสารละลายผสม ทำให้เกิดฟิล์มจริงไหมครับ จากนั้น จากคลิปการทดลองนี่ ก็เอาไปวางบนน้ำร้อน ที่อุณหภูมิประมาณ 60°C ครับ ผลก็คืออะไรครับ นักเรียนทุกคนจำคลิปเมื่อสักครู่ได้ใช่ไหมครับ ฟิล์มนี่ครับ น้ำยาล้างจานมีลักษณะพองขึ้นมา โอเคไหมครับ แสดงว่าอะไรครับ แสดงว่าถ้าเราเพิ่มอุณหภูมิครับ ปริมาตรของอากาศที่อยู่ในขวดก็จะทำไมครับ เพิ่มขึ้นด้วย โอเคไหมครับ และอีกการทดลองหนึ่งครับ ซึ่งอยู่ในคลิปเดียวกันเลยครับ ก็คือทำลักษณะเหมือนเดิมครับ ก็คือเกิดฟิล์มที่บริเวณปากขวดแล้วใช่ไหมครับ ก็ไปวางบนน้ำผสมน้ำแข็งครับ และเราก็สังเกตลักษณะฟิล์มน้ำยาล้างจาน ที่ปากขวดครับ ผลคืออะไรครับผม ฟิล์มน้ำยาล้างจานมีลักษณะยุบตัวลงไป โอเคไหมครับ ยุบลงไปนะครับ แสดงว่าอะไรครับ แสดงว่าเมื่อเรานี่ ลดอุณหภูมิครับ ปริมาตรของแก๊ส หรือปริมาตรของอากาศที่อยู่ในขวด ก็จะทำไมด้วย ลดลงด้วย โอเคไหมครับ จากการทดลองนี้นะครับ เราสามารถอภิปรายได้ง่าย ๆ เลยครับ ว่าจริง ๆ แล้วนี่นะครับ ถ้าเราเพิ่มอุณหภูมิ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น ถ้าเราลดอุณหภูมิครับ ปริมาตรของแก๊สก็จะทำไมครับ ลดลง เรามาสรุปผลการทดลองสักนิดครับ ก็คือที่ความดันที่จำนวนโมลของแก๊สคงที่ครับนะ จากการทดลองครับ เราจะสังเกตว่าเมื่ออุณหภูมิสูงขึ้นครับ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น โอเคไหม จากการทดลองครับ เราก็สังเกตลักษณะฟิล์มน้ำยาล้างจาน ที่มีลักษณะพองขึ้นมา โอเคนะครับ แล้วก็เมื่อเราลดอุณหภูมินะครับ ปริมาตรของแก๊สก็จะทำไมครับ ลดลงครับ จากการทดลองครับ ก็สังเกตได้จากฟิล์มของน้ำยาล้าง ที่มีลักษณะยุบตัวลง โอเคนะครับ จากการทดลองครับ จะเห็นว่าอุณหภูมิก็จะมีความสัมพันธ์กับปริมาตร โอเคนะ หรือครูเขียนได้ง่าย ๆ แบบนี้ครับ ว่าอุณหภูมิแปรผันตรงกับ V เลยครับ โอเคนะ ถ้าหรือคุณต่ำ ๆ ปริมาตรก็จะลดครับ ถ้าอุณหภูมิสูง ๆ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น โอเคนะครับทุกคน จากความสัมพันธ์เมื่อสักครู่นะครับ คือที่เราได้สรุปกันไปนะครับ ก็คือว่าถ้าอุณหภูมิเพิ่มขึ้น ปริมาตรของแก๊สก็จะเพิ่มขึ้นครับ ถ้าอุณหภูมิลดลงปริมาตรของแก๊สก็จะลดลงครับ จริง ๆ ความสัมพันธ์นี้ มีนักวิทยาศาสตร์ได้เคยศึกษาไว้แล้วครับ นักวิทยาศาสตร์ท่านนี้นะครับ มีชื่อว่า Charles นะครับ Alexandre-Cesar Charles โอ้โห ชื่อเท่มากครับ ก็เป็นนักวิทยาศาสตร์ชาวฝรั่งเศสครับ เขาได้ศึกษานะครับ โดยทำการทดลองกับบอลลูน โอเคไหมครับ แล้วพบว่าอะไรครับ พบว่าแก๊สเพิ่มขึ้นตามอุณหภูมิที่เพิ่มขึ้นครับ ซึ่งต่อมาได้รับการยืนยันโดยผลการทดลอง ของ Joseph-Louis Gay-Lussac ชื่อสุด ๆ จริง ๆ ครับ จริง ๆ นะครับ เรื่องนี้ก็เป็นการคอนเฟิร์ม ว่าเราสามารถอธิบาย การลอยตัวของบอลลูนได้ นึกออกไหมครับ หรือว่าโคมลอยหรือว่ายี่เป็ง ที่เรารู้จักกันใช่ไหมครับ ก็คือเราจะจุดไฟข้างล่างครับ หรือแม้แต่บอลลูน ก็จะมีอุปกรณ์ให้ความร้อนข้างล่างครับ พอเขาเพิ่มอุณหภูมิหรือว่าเพิ่มไฟครับ บอลลูนนี่ก็สามารถลอยขึ้นได้ครับ เพราะว่าอากาศที่อยู่ในบอลลูนนี่ ก็จะมีการขยายตัว นึกออกไหมครับ หรือแม้แต่ลูกปิงปองที่บุบนะครับ เมื่อเราไปแช่น้ำร้อนก็จะพองตัวนึกออกหรือเปล่า เพราะว่าเมื่ออุณหภูมิเพิ่มขึ้น ปริมาตรของแก๊สที่อยู่ในลูกปิงปองก็จะเพิ่มขึ้นครับ ก็จะดันให้ลูกปิงปอง สามารถกลับมาใช้งานได้เหมือนเดิมนะครับ คราวนี้นะครับ ถ้าเราได้ทำการทดลองหลาย ๆ ครั้งครับ โดยวัดปริมาตรของแก๊ส ณ อุณหภูมิต่าง ๆ แล้วก็นำมาเขียนกราฟ หรือว่านำมาพล็อตกราฟครับ โดยไปการพล็อตระหว่างปริมาตรแล้วก็อุณหภูมิ ที่ความดันและจำนวนโมลของแก๊สคงที่นะครับ กราฟที่ได้ ก็จะมีลักษณะเป็นกราฟเส้นตรงแบบนี้เลยครับ โอเคไหม และจากนั้นกราฟเส้นตรงนี้นะครับ ถ้าเราต่อกราฟจนถึงจุดตัดแกน x ครับ คือตรงนี้ครับ จุดตัดแกน x เราจะสังเกตว่า มีค่าเท่ากับ -273.15 °C นะครับ และดูตรงนี้นะครับ ก็คือแกน y นี่ก็จะมีค่าเป็น 0 ตรงนี้คืออะไรครับ อุณหภูมิที่แก๊สมีปริมาตรเป็น 0 ครับ ได้จากจุดที่เส้นกราฟนี่ตัดแกน x ก็คือตรงนี้เลย -273.15 °C หมายความว่า ณ อุณหภูมิเท่านี้ครับ ปริมาตรของแก๊สจะมีค่าเป็นทำไมครับ 0 โอเคไหมนะครับ ซึ่งไปสอดคล้องกับอุณหภูมิศูนย์สมบูรณ์ครับ หรือว่า 0 เคลวินนะครับ ที่เสนอโดยลอร์ดเคลวินครับ ก็มีค่าเท่ากับ -273.15 °C นะครับ โอเคนะ หรือพูดง่าย ๆ 0 เคลวิน ก็จะมีค่าเท่ากับ -273.15 °C นะครับ ที่ตรงนั้นทำให้ปริมาตรของแก๊สมีค่าเป็น 0 ครับ ความสัมพันธ์ระหว่างอุณหภูมิ หน่วยองศาเซลเซียส และเคลวินครับ ก็จะได้ดังนี้เลยครับ เพราะฉะนั้น ถ้าเรามีองศาเซลเซียสนะครับ ก็คือเราก็ไปบวก 273.15 °C แต่คราวนี้ครับ ในการคำนวณสำหรับบทนี้นะครับ เราใช้แค่ 273 พอ โอเคนะ เพราะฉะนั้น ต่อไปในการคำนวณครับ ถ้าโจทย์ให้เป็นองศาเซลเซียส และต้องการเป็นเคลวิน เราก็บวกไป 273 เก็ตนะครับผมทุกคน จากความสัมพันธ์ระหว่างปริมาตรกับอุณหภูมิครับ ในหน่วยเคลวิน พบว่าปริมาตรแปรผันตรงกับอุณหภูมินะครับ ในหน่วยเคลวินด้วยนะครับ เรียกความสัมพันธ์นี้ว่า \"กฎของชาร์ล\" โอเคนะ กฎของชาร์ลครับ ง่าย ๆ ครับ ก็คือปริมาตรแปรผันตรงกับอุณหภูมิ โอเคนะทุกคนนะครับ คราวนี้นะครับ ถ้าเกิดครูนี่ อยากจะเปลี่ยนเครื่องหมายแปรผันเป็นเท่ากับ เราก็ใส่ทำไมครับ ค่าคงที่ โอเคนะครับ และครูก็ย้าย T ไปหารครับ เพราะฉะนั้น V ส่วน T ก็ได้ค่าคงที่ แต่มีข้อแม้นิดหนึ่งครับ แล้วเรียนทำพลาดครับ T ตรงนี้ หน่วยจะต้องเป็นเคลวิน หลาย ๆ คนอาจจะสงสัย ครู แล้วถ้าเกิดไปเป็นองศาเซลเซียสล่ะ ถ้าเป็นองศาเซลเซียสนะครับ V ส่วน T ตรงนี้ จะไม่ได้ค่าคงที่ครับ ถ้า T₁V₁ ครับ เป็นอุณหภูมิและปริมาตรที่สภาวะที่ 1 ครับ เราก็จะได้ว่า V₁ ส่วนที่ 1 ก็เท่ากับค่าคงที่ และสภาวะที่ 2 ครับ ที่ T₂V₂ เป็นอุณหภูมิและปริมาตรนะครับ ก็จะได้ว่า V₂ ส่วน T₂ ครับ ก็ได้ค่าคงที่ ไม่งงนะ ตรงนี้ก็ได้ค่าคงที่ ตรงนี้ก็ได้ค่าคงที่ ซึ่งข้างนี้… ตรงนี้จะมีค่าทำไมกันครับ เท่ากัน เรานะครับ สามารถเขียนให้อยู่ในรูป ที่สามารถใช้คำนวณหาปริมาตร หรืออุณหภูมิของแก๊สที่ 2 สภาวะได้นะครับ ก็จะได้ใครเป็น V₁ ส่วน T₁ จะเท่ากับ V₂ ส่วน T₂ ครับ เมื่อความดันและจำนวนโมล ของแก๊สจะทำไมนะครับ คงที่ ไม่ยากนะครับ ตรงนี้ครับ เป็นความสัมพันธ์เป็นไปตามกฎของชาร์ล เดี๋ยวเรามาดูแบบฝึกหัดครับ เรื่องความสัมพันธ์ระหว่างปริมาตร แล้วก็อุณหภูมิของแก๊สกันนะครับ มาดูข้อที่ 1 นะครับ เขาบอกว่าแก๊สบรรจุที่กระบอกสูบ ที่อุณหภูมิ 25 °C นะครับ ความดัน 0.980 atm นะครับ เมื่อให้ความร้อนแก่บอกสูบนี่นะครับ ลูกสูบก็จะขยายตัวจาก 1 L ไปเป็นทำไมครับ 2 L ครับ ถ้าให้ความดันของแก๊สคงที่ครับ ข้อนี้โจทย์ถามว่าอุณหภูมิสุดท้าย ควรมีค่าเท่าไรนะครับ ทุกคนจำได้ใช่ไหมครับ จากความสัมพันธ์ตามกฎของชาร์ลครับ เราจะได้ว่าอะไรครับ ก็คือกลายเป็น V₁ ส่วน T₁ ใช่ไหม เท่ากับอะไรครับ V₂ ส่วน T₂ ครับ ถึงตรงนี้นะครับ ครูอยากลองให้นักเรียนทุก ๆ คน ได้ลองทำเองดูครับผม มา ลอง Stop เทปครับ แล้วลองแทนค่าดูก่อนครับผม น่าจะได้ทุกคนนะครับ แทนค่าได้นะครับ V₁ คืออะไรครับ V₁ ครับ สังเกตนะครับ ลูกสูบขยายตัวจาก 1 L ไปเป็นทำไมครับ 2 L แสดงว่า V₁ ก็คือ 1.00 L เลย โอเคไหมนะครับ และ T₁ ก็คือที่อุณหภูมิทำไมครับ 25 °C ถ้าถามว่า 25 °C เรามาแทนได้ไหม ไม่ได้นะครับ ก็คือเราต้องแปลงเป็นเคลวินก่อน โอเคไหมครับ เพราะฉะนั้น ตรงนี้ครูเขียนแบบนี้เลย ก็เป็น 25 นี่ เราต้องบวกเท่าไรก่อนครับ 273 โอเคนะ หน่วยถึงจะเป็นเค… อะไรครับ เคลวิน โอเคนะ ก็จะเท่ากับ V₂ ครับ ปริมาตร คือ 2.00 L ครับ โอเคนะ ถามว่า T₂ ครับ อุณหภูมิสุดท้ายเป็นเท่าไรนะครับ แค่นี้เองครับ หลังจากนั้นเราก็โยกย้ายเหมือนเดิมครับ T₂ ก็จะกลายเป็น 2.00 L ใช่ไหมครับ โอเค คูณกับ 2.98 เคลวิน ไม่งงนะ 25 + 2.73 ก็จะกลายเป็น 2.98 k นะครับ ครูก็ย้ายขึ้นมาคูณเลยครับ แล้วก็เอา 1.00 L มาหารครับ เหมือนเดิมครับ ก็ครูเขียนหน่วย แล้วก็ตัดหน่วย โอเคไหม เพราะฉะนั้น หน่วยที่ได้ ก็จะกลายเป็นเค… อะไรครับ เคลวิน ซึ่งนักเรียนทุกคนน่าจะคิดตัวเลขออกมาแล้วครับ ข้อนี้ง่าย ๆ ครับ ไม่มีอะไรครับ ฝึกการแทนค่า โอเคไหม แก้จากสภาวะหนึ่งไปสู่อีกสภาวะหนึ่งครับ เมื่อ VT เปลี่ยนนะครับนะ ซึ่งพวกเราน่าจะได้ออกมาแล้วนะครับ ได้เท่ากับเท่าไรครับผม ได้เท่ากับ 596 เคลวิน โอเคไหมครับนะ คราวนี้ต้องดูโจทย์ด้วยนะครับ ว่าโจทย์ต้องการอุณหภูมิเป็นหน่วยเป็นอะไรครับ ถ้าเป็นเคลวินก็ตอบได้เลย แต่ถ้าเกิดโจทย์อยากได้เป็นองศาเซลเซียสนี่ อย่าลืมนะ เราต้องเอา 273 ไปลบนะครับ โอเคนะครับ ข้อนี้ข้อที่ 1 ครับ ทุกคนน่าจะเรียบร้อย ข้อที่ 2 นะครับ ลูกโป่งบรรจุด้วยแก๊สปริมาตรหนึ่ง มีความดันค่าหนึ่งครับ ซึ่งอุณหภูมิที่ 25 °C มีปริมาตรเท่ากับ 2.00 L เลยนะครับ เมื่อนำลูกโป่งออกไปข้างนอก ที่มีอุณหภูมิต่ำมาก ๆ เลย คือที่ -20 ครับ นี่ต่ำมากเลยนะครับ ถ้าให้ความดันของแก๊สในลูกโป่งมีค่าคงที่ครับ ข้อนี้ครับ โจทย์อยากทราบว่าปริมาตรของลูกโป่ง ณ อุณหภูมิที่ -20 °C นี่ จะมีปริมาตรเท่าไร ข้อนี้ครับ ครูอ่านโจทย์ได้แล้วครับ อยากให้ทุกคนเขียนความสัมพันธ์เองครับ และลองแทนค่าดูก่อนครับผม ข้อนี้ง่าย ๆ ครับ ครูคิดว่าทุกคนก็จะทำได้ เรียนเชิญครับ หรือใครลอง Stop เทปทำเองก่อนก็ได้นะครับ โอเคนะครับ ทุกคนน่าจะได้นะครับ จากความสัมพันธ์ของชาร์ลครับ ก็คือ V₁ ส่วน T₁ เท่ากับอะไรทุกคน V₂ ส่วน T₂ ใช่ไหม ก็แทนคิดธรรมดาครับ ไม่มีอะไรครับ ก็คือตอนแรกปริมาตรเท่ากับ 2.00 L ที่อุณหภูมิ 25 โอเคนะ ก็แทนไปครับ ก็แสดงว่า ตัวนี้ก็เป็น 2.00 L ครับผม อุณหภูมิ มุกเดิมนะ ห้ามแทนหน่วยเป็นองศาเซลเซียสนะครับ ถ้าเกิดโจทย์ให้เป็นองศาเซลเซียสมา เราต้องบวก 273 เพราะฉะนั้น 25 + 273 ก็คือคล้าย ๆ กับข้อที่แล้วเลยครับ ครูเขียนไปเลยแล้วกันนะ ก็เป็น 298 เคลวินนะครับ โอเคนะ ก็เท่ากับ… ครับ โจทย์ต้องการหาค่า V₂ ครับ โอเคนะ และเขาให้หา V₂ ใช่ไหม ปริมาตรของลูกโป่งที่อุณหภูมิ -20 ครับ เพราะฉะนั้น ตรงนี้เราต้องแทนแบบนี้นะ -20.0 + 273 เคลวิน โอเคไหม ไม่งงครับ ถ้าโจทย์ให้มาเป็นองศาเซลเซียส โอเคนะ โดยจะให้เป็นองศาเซลเซียส ถ้าเราต้องการแปลงเป็นเคลวินครับ เราต้องบวกทำไมครับ 273 โอเค เพราะฉะนั้น เราก็โยกย้ายธรรมดาครับ เพราะฉะนั้น V₂ ก็คือเป็นเท่าไรทุกคน ก็เป็น 2.00 L ครับ โอเคไหมครับ ตรงนี้ครับ 273 + (-20) ครับ ก็จะได้กลายเป็น 253 เคลวินครับ โอเคนะ แล้วหารด้วย 298 เคลวินครับ ย้ายข้างธรรมดานะครับ โอเคนะ จากนั้น เคลวินตัดกับเคลวินครับ ครูคิดว่านักเรียนทุกคนคิดเลขได้ครับ ไม่ได้ยากครับ เลขคิดได้เท่าไรครับผม คิดได้เท่ากับ 1.70 L ใช่ไหมครับ โอเคนะครับ ก็จะได้เท่ากับ 1.70 L ครับ ไม่ยากเลยใช่ไหมครับ จากที่เราได้เรียนไปครับ เดี๋ยวเรามาสรุปความสัมพันธ์ ระหว่างปริมาตรและอุณหภูมิกันสักนิดนะครับ ข้อที่ 1 ครับ เมื่อความดัน และจำนวนโมลของแก๊สคงที่นะครับ ปริมาตรน V ก็จะแปรผันตรงกับอุณหภูมิครับ ที่ไม่งงนะครับ ก็คือถ้าอุณหภูมิสูง ปริมาตรก็เพิ่มครับ ถ้าอุณหภูมิลดลง ปริมาตรก็จะลดลงด้วย ความสัมพันธ์นี้ เรียกว่า \"กฎของชาร์ล\" เยี่ยมมาก ๆ ครับทุกคน อันที่ 2 ครับ เราสามารถคำนวณหาปริมาตร หรืออุณหภูมิก็ได้นะครับ เมื่อความดันและจำนวนโมลของแก๊สคงที่ครับ เมื่อแก๊สเปลี่ยนจากสภาวะหนึ่ง ไปสู่สภาวะหนึ่งครับ จากความสัมพันธ์นี้เลยครับ V₁ ส่วน T₁ = V₂ ส่วน T₂ ครับ อย่างไรก็ฝากความสัมพันธ์นี้ ไว้ในอ้อมอกอ้อมใจ ของนักเรียนทุกคนด้วยแล้วกันครับผม สำหรับข้อนี้ครับ ครูก็คิดว่านักเรียนทุกคนน่าจะเข้าใจครับ [เสียงดนตรี]","time":"2025-05-23T14:45:39+07:00","caller":"/go/src/app/internal/handler/text_improver.go:95"}
{"level":"info","spacing":"[เสียงดนตรี] (คุณครูอดิสรณ์) จุดประสงค์การเรียนรู้ 1. อธิบายความสัมพันธ์ระหว่างปริมาตร กับอุณหภูมิของแก๊ส โดยใช้ความสัมพันธ์ตามกฎของชาร์ลได้ 2. คำนวณหาปริมาตรหรืออุณหภูมิของแก๊ส โดยใช้กฎของชาร์ล หลังจากที่เราได้ศึกษาความสัมพันธ์ ระหว่างปริมาตรแล้วก็ความดัน ในหัวข้อที่แล้วครับ คือ เป็นไปตามความสัมพันธ์ตามกฎของบอยล์ ทุกคนจำได้ใช่ไหมครับ ว่าปริมาตรก็จะแปรผกผันกับความดันครับ และในหัวข้อนี้ครับ เราก็จะมาศึกษาความสัมพันธ์ ระหว่างปริมาตรและก็อุณหภูมิของแก๊สนะครับ สำหรับในหัวข้อนี้ครับ เราก็จะมีกิจกรรมเล็ก ๆ ที่ทุกคนสามารถทำเล่นที่บ้านได้ นึกออกไหมครับ ก็มีน้ำยาล้างจานนะครับ แล้วก็มีน้ำครับ แล้วก็มีขวดนะครับ และอาจจะต้องเตรียมน้ำอุ่น ๆ ครับ และก็น้ำผสมกับน้ำแข็ง เอาอย่างนี้แล้วกันครับ ถ้านักเรียนไม่อยากจะเตรียมเองครับ ครูก็มีคลิปการทดลองให้ทุกคนได้ดูเหมือนเคยครับ ถ้าทุกคนพร้อมแล้วครับ เราไปดูกันว่ากิจกรรมนี้หรือว่าการทดลองนี้ เขาทำอย่างไรกันบ้าง ถ้าพร้อมแล้วไปดูกันครับผม (บรรยาย) การทดลองศึกษาความสัมพันธ์ ระหว่างปริมาตรและอุณหภูมิของอากาศ ผสมน้ำกับน้ำยาล้างจาน ในอัตราส่วน 2 : 1 [เสียงดนตรี] (บรรยาย) จุ่มปากขวด ลงในสารละลายน้ำยาล้างจาน แล้ววางบนน้ำร้อน อุณหภูมิประมาณ 60 °C ค่ะ สังเกตฟิล์มบางที่ปากขวดนะคะ จุ่มปากขวดลงในสารละลายน้ำยาล้างจาน แล้ววางบนน้ำผสมน้ำแข็ง สังเกตฟิล์มบางที่ปากขวดนะคะ [เสียงดนตรี] (คุณครูอดิสรณ์) โอเคนะครับ จากคลิปการทดลองนะครับ เราจะสังเกตว่าจำนวนโมลของอากาศ ที่อยู่ในขวดจะมีค่าคงที่ครับ รวมถึงความดันก่อนและหลังการทดลองด้วย ก็จะมีค่าคงที่ครับ อันแรกเลยครับ ก็คือเราจุ่มปากขวดในสารละลายผสม ทำให้เกิดฟิล์มจริงไหมครับ จากนั้น จากคลิปการทดลองนี่ ก็เอาไปวางบนน้ำร้อน ที่อุณหภูมิประมาณ 60°C ครับ ผลก็คืออะไร ครับ นักเรียนทุกคนจำคลิปเมื่อสักครู่ได้ใช่ไหมครับ ฟิล์มนี่ครับ น้ำยาล้างจานมีลักษณะพองขึ้นมา โอเคไหมครับ แสดงว่าอะไรครับ แสดงว่าถ้าเราเพิ่มอุณหภูมิครับ ปริมาตรของอากาศที่อยู่ในขวดก็จะทำไมครับ เพิ่มขึ้นด้วย โอเคไหมครับ และอีกการทดลองหนึ่งครับ ซึ่งอยู่ในคลิปเดียวกันเลยครับ ก็คือทำลักษณะเหมือนเดิมครับ ก็คือเกิดฟิล์มที่บริเวณปากขวดแล้วใช่ไหมครับ ก็ไปวางบนน้ำผสมน้ำแข็งครับ และเราก็สังเกตลักษณะฟิล์มน้ำยาล้างจาน ที่ปากขวดครับ ผลคืออะไร ครับผม ฟิล์มน้ำยาล้างจานมีลักษณะยุบตัวลงไป โอเคไหมครับ ยุบลงไปนะครับ แสดงว่าอะไรครับ แสดงว่าเมื่อเรานี่ ลดอุณหภูมิครับ ปริมาตรของแก๊ส หรือปริมาตรของอากาศที่อยู่ในขวด ก็จะทำไมด้วย ลดลงด้วย โอเคไหมครับ จากการทดลองนี้นะครับ เราสามารถอภิปรายได้ง่าย ๆ เลยครับ ว่าจริง ๆ แล้วนี่นะครับ ถ้าเราเพิ่มอุณหภูมิ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น ถ้าเราลดอุณหภูมิครับ ปริมาตรของแก๊สก็จะทำไมครับ ลดลง เรามาสรุปผลการทดลองสักนิดครับ ก็คือที่ความดันที่จำนวนโมลของแก๊สคงที่ครับ นะ จากการทดลองครับ เราจะสังเกตว่าเมื่ออุณหภูมิสูงขึ้นครับ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น โอเคไหม จากการทดลองครับ เราก็สังเกตลักษณะฟิล์มน้ำยาล้างจาน ที่มีลักษณะพองขึ้นมา โอเคนะครับ แล้วก็เมื่อเราลดอุณหภูมินะครับ ปริมาตรของแก๊สก็จะทำไมครับ ลดลงครับ จากการทดลองครับ ก็สังเกตได้จากฟิล์มของน้ำยาล้าง ที่มีลักษณะยุบตัวลง โอเคนะครับ จากการทดลองครับ จะเห็นว่าอุณหภูมิก็จะมีความสัมพันธ์กับปริมาตร โอเคนะ หรือครูเขียนได้ง่าย ๆ แบบนี้ครับ ว่าอุณหภูมิแปรผันตรงกับ V เลยครับ โอเคนะ ถ้าหรือคุณต่ำ ๆ ปริมาตรก็จะลดครับ ถ้าอุณหภูมิสูง ๆ ปริมาตรของแก๊สก็จะทำไมครับ เพิ่มขึ้น โอเคนะครับ ทุกคน จากความสัมพันธ์เมื่อสักครู่นะครับ คือที่เราได้สรุปกันไปนะครับ ก็คือว่าถ้าอุณหภูมิเพิ่มขึ้น ปริมาตรของแก๊สก็จะเพิ่มขึ้นครับ ถ้าอุณหภูมิลดลงปริมาตรของแก๊สก็จะลดลงครับ จริง ๆ ความสัมพันธ์นี้ มีนักวิทยาศาสตร์ได้เคยศึกษาไว้แล้วครับ นักวิทยาศาสตร์ท่านนี้นะครับ มีชื่อว่า Charles นะครับ Alexandre-Cesar Charles โอ้โห ชื่อเท่มากครับ ก็เป็นนักวิทยาศาสตร์ชาวฝรั่งเศสครับ เขาได้ศึกษานะครับ โดยทำการทดลองกับบอลลูน โอเคไหมครับ แล้วพบว่าอะไรครับ พบว่าแก๊สเพิ่มขึ้นตามอุณหภูมิที่เพิ่มขึ้นครับ ซึ่งต่อมาได้รับการยืนยันโดยผลการทดลอง ของ Joseph-Louis Gay-Lussac ชื่อสุด ๆ จริง ๆ ครับ จริง ๆ นะครับ เรื่องนี้ก็เป็นการคอนเฟิร์ม ว่าเราสามารถอธิบาย การลอยตัวของบอลลูนได้ นึกออกไหมครับ หรือว่าโคมลอยหรือว่ายี่เป็ง ที่เรารู้จักกันใช่ไหมครับ ก็คือเราจะจุดไฟข้างล่างครับ หรือแม้แต่บอลลูน ก็จะมีอุปกรณ์ให้ความร้อนข้างล่างครับ พอเขาเพิ่มอุณหภูมิหรือว่าเพิ่มไฟครับ บอลลูนนี่ก็สามารถลอยขึ้นได้ครับ เพราะว่าอากาศที่อยู่ในบอลลูนนี่ ก็จะมีการขยายตัว นึกออกไหมครับ หรือแม้แต่ลูกปิงปองที่บุบนะครับ เมื่อเราไปแช่น้ำร้อนก็จะพองตัวนึกออกหรือเปล่า เพราะว่าเมื่ออุณหภูมิเพิ่มขึ้น ปริมาตรของแก๊สที่อยู่ในลูกปิงปองก็จะเพิ่มขึ้นครับ ก็จะดันให้ลูกปิงปอง สามารถกลับมาใช้งานได้เหมือนเดิมนะครับ คราวนี้นะครับ ถ้าเราได้ทำการทดลองหลาย ๆ ครั้งครับ โดยวัดปริมาตรของแก๊ส ณ อุณหภูมิต่าง ๆ แล้วก็นำมาเขียนกราฟ หรือว่านำมาพล็อตกราฟครับ โดยไปการพล็อตระหว่างปริมาตรแล้วก็อุณหภูมิ ที่ความดันและจำนวนโมลของแก๊สคงที่นะครับ กราฟที่ได้ ก็จะมีลักษณะเป็นกราฟเส้นตรงแบบนี้เลยครับ โอเคไหม และจากนั้นกราฟเส้นตรงนี้นะครับ ถ้าเราต่อกราฟจนถึงจุดตัดแกน x ครับ คือตรงนี้ครับ จุดตัดแกน x เราจะสังเกตว่า มีค่าเท่ากับ -273.15 °C นะครับ และดูตรงนี้นะครับ ก็คือแกน y นี่ก็จะมีค่าเป็น 0 ตรงนี้คืออะไร ครับ อุณหภูมิที่แก๊สมีปริมาตรเป็น 0 ครับ ได้จากจุดที่เส้นกราฟนี่ตัดแกน x ก็คือตรงนี้เลย -273.15 °C หมายความว่า ณ อุณหภูมิเท่านี้ครับ ปริมาตรของแก๊สจะมีค่าเป็นทำไมครับ 0 โอเคไหมนะครับ ซึ่งไปสอดคล้องกับอุณหภูมิศูนย์สมบูรณ์ครับ หรือว่า 0 เคลวินนะครับ ที่เสนอโดยลอร์ดเคลวินครับ ก็มีค่าเท่ากับ -273.15 °C นะครับ โอเคนะ หรือพูดง่าย ๆ 0 เคลวิน ก็จะมีค่าเท่ากับ -273.15 °C นะครับ ที่ตรงนั้นทำให้ปริมาตรของแก๊สมีค่าเป็น 0 ครับ ความสัมพันธ์ระหว่างอุณหภูมิ หน่วยองศาเซลเซียส และเคลวินครับ ก็จะได้ดังนี้เลยครับ เพราะฉะนั้น ถ้าเรามีองศาเซลเซียสนะครับ ก็คือเราก็ไปบวก 273.15 °C แต่คราวนี้ครับ ในการคำนวณสำหรับบทนี้นะครับ เราใช้แค่ 273 พอ โอเคนะ เพราะฉะนั้น ต่อไปในการคำนวณครับ ถ้าโจทย์ให้เป็นองศาเซลเซียส และต้องการเป็นเคลวิน เราก็บวกไป 273 เก็ตนะครับผม ทุกคน จากความสัมพันธ์ระหว่างปริมาตรกับอุณหภูมิครับ ในหน่วยเคลวิน พบว่าปริมาตรแปรผันตรงกับอุณหภูมินะครับ ในหน่วยเคลวินด้วยนะครับ เรียกความสัมพันธ์นี้ว่า \"กฎของชาร์ล\" โอเคนะ กฎของชาร์ลครับ ง่าย ๆ ครับ ก็คือปริมาตรแปรผันตรงกับอุณหภูมิ โอเคนะทุกคนนะครับ คราวนี้นะครับ ถ้าเกิดครูนี่ อยากจะเปลี่ยนเครื่องหมายแปรผันเป็นเท่ากับ เราก็ใส่ทำไมครับ ค่าคงที่ โอเคนะครับ และครูก็ย้าย T ไปหารครับ เพราะฉะนั้น V ส่วน T ก็ได้ค่าคงที่ แต่มีข้อแม้นิดหนึ่งครับ แล้วเรียนทำพลาดครับ T ตรงนี้ หน่วยจะต้องเป็นเคลวิน หลาย ๆ คนอาจจะสงสัย ครู แล้วถ้าเกิดไปเป็นองศาเซลเซียสล่ะ ถ้าเป็นองศาเซลเซียสนะครับ V ส่วน T ตรงนี้ จะไม่ได้ค่าคงที่ครับ ถ้า T₁V₁ ครับ เป็นอุณหภูมิและปริมาตรที่สภาวะที่ 1 ครับ เราก็จะได้ว่า V₁ ส่วนที่ 1 ก็เท่ากับค่าคงที่ และสภาวะที่ 2 ครับ ที่ T₂V₂ เป็นอุณหภูมิและปริมาตรนะครับ ก็จะได้ว่า V₂ ส่วน T₂ ครับ ก็ได้ค่าคงที่ ไม่งงนะ ตรงนี้ก็ได้ค่าคงที่ ตรงนี้ก็ได้ค่าคงที่ ซึ่งข้างนี้… ตรงนี้จะมีค่าทำไมกันครับ เท่ากัน เรานะครับ สามารถเขียนให้อยู่ในรูป ที่สามารถใช้คำนวณหาปริมาตร หรืออุณหภูมิของแก๊สที่ 2 สภาวะได้นะครับ ก็จะได้ใครเป็น V₁ ส่วน T₁ จะเท่ากับ V₂ ส่วน T₂ ครับ เมื่อความดันและจำนวนโมล ของแก๊สจะทำไมนะครับ คงที่ ไม่ยากนะครับ ตรงนี้ครับ เป็นความสัมพันธ์เป็นไปตามกฎของชาร์ล เดี๋ยวเรามาดูแบบฝึกหัดครับ เรื่องความสัมพันธ์ระหว่างปริมาตร แล้วก็อุณหภูมิของแก๊สกันนะครับ มาดูข้อที่ 1 นะครับ เขาบอกว่าแก๊สบรรจุที่กระบอกสูบ ที่อุณหภูมิ 25 °C นะครับ ความดัน 0.980 atm นะครับ เมื่อให้ความร้อนแก่บอกสูบนี่นะครับ ลูกสูบก็จะขยายตัวจาก 1 L ไปเป็นทำไมครับ 2 L ครับ ถ้าให้ความดันของแก๊สคงที่ครับ ข้อนี้โจทย์ถามว่าอุณหภูมิสุดท้าย ควรมีค่าเท่าไรนะครับ ทุกคนจำได้ใช่ไหมครับ จากความสัมพันธ์ตามกฎของชาร์ลครับ เราจะได้ว่าอะไรครับ ก็คือกลายเป็น V₁ ส่วน T₁ ใช่ไหม เท่ากับอะไรครับ V₂ ส่วน T₂ ครับ ถึงตรงนี้นะครับ ครูอยากลองให้นักเรียนทุก ๆ คน ได้ลองทำเองดูครับผม มา ลอง Stop เทปครับ แล้วลองแทนค่าดูก่อนครับผม น่าจะได้ทุกคนนะครับ แทนค่าได้นะครับ V₁ คืออะไร ครับ V₁ ครับ สังเกตนะครับ ลูกสูบขยายตัวจาก 1 L ไปเป็นทำไมครับ 2 L แสดงว่า V₁ ก็คือ 1.00 L เลย โอเคไหมนะครับ และ T₁ ก็คือที่อุณหภูมิทำไมครับ 25 °C ถ้าถามว่า 25 °C เรามาแทนได้ไหม ไม่ได้นะครับ ก็คือเราต้องแปลงเป็นเคลวินก่อน โอเคไหมครับ เพราะฉะนั้น ตรงนี้ครูเขียนแบบนี้เลย ก็เป็น 25 นี่ เราต้องบวกเท่าไรก่อนครับ 273 โอเคนะ หน่วยถึงจะเป็นเค… อะไรครับ เคลวิน โอเคนะ ก็จะเท่ากับ V₂ ครับ ปริมาตร คือ 2.00 L ครับ โอเคนะ ถามว่า T₂ ครับ อุณหภูมิสุดท้ายเป็นเท่าไรนะครับ แค่นี้เองครับ หลังจากนั้นเราก็โยกย้ายเหมือนเดิมครับ T₂ ก็จะกลายเป็น 2.00 L ใช่ไหมครับ โอเค คูณกับ 2.98 เคลวิน ไม่งงนะ 25 + 2.73 ก็จะกลายเป็น 2.98 k นะครับ ครูก็ย้ายขึ้นมาคูณเลยครับ แล้วก็เอา 1.00 L มาหารครับ เหมือนเดิมครับ ก็ครูเขียนหน่วย แล้วก็ตัดหน่วย โอเคไหม เพราะฉะนั้น หน่วยที่ได้ ก็จะกลายเป็นเค… อะไรครับ เคลวิน ซึ่งนักเรียนทุกคนน่าจะคิดตัวเลขออกมาแล้วครับ ข้อนี้ง่าย ๆ ครับ ไม่มีอะไรครับ ฝึกการแทนค่า โอเคไหม แก้จากสภาวะหนึ่งไปสู่อีกสภาวะหนึ่งครับ เมื่อ VT เปลี่ยนนะครับ นะ ซึ่งพวกเราน่าจะได้ออกมาแล้วนะครับ ได้เท่ากับเท่าไรครับผม ได้เท่ากับ 596 เคลวิน โอเคไหมครับ นะ คราวนี้ต้องดูโจทย์ด้วยนะครับ ว่าโจทย์ต้องการอุณหภูมิเป็นหน่วยเป็นอะไรครับ ถ้าเป็นเคลวินก็ตอบได้เลย แต่ถ้าเกิดโจทย์อยากได้เป็นองศาเซลเซียสนี่ อย่าลืมนะ เราต้องเอา 273 ไปลบนะครับ โอเคนะครับ ข้อนี้ข้อที่ 1 ครับ ทุกคนน่าจะเรียบร้อย ข้อที่ 2 นะครับ ลูกโป่งบรรจุด้วยแก๊สปริมาตรหนึ่ง มีความดันค่าหนึ่งครับ ซึ่งอุณหภูมิที่ 25 °C มีปริมาตรเท่ากับ 2.00 L เลยนะครับ เมื่อนำลูกโป่งออกไปข้างนอก ที่มีอุณหภูมิต่ำมาก ๆ เลย คือที่ -20 ครับ นี่ต่ำมากเลยนะครับ ถ้าให้ความดันของแก๊สในลูกโป่งมีค่าคงที่ครับ ข้อนี้ครับ โจทย์อยากทราบว่าปริมาตรของลูกโป่ง ณ อุณหภูมิที่ -20 °C นี่ จะมีปริมาตรเท่าไร ข้อนี้ครับ ครูอ่านโจทย์ได้แล้วครับ อยากให้ทุกคนเขียนความสัมพันธ์เองครับ และลองแทนค่าดูก่อนครับผม ข้อนี้ง่าย ๆ ครับ ครูคิดว่าทุกคนก็จะทำได้ เรียนเชิญครับ หรือใครลอง Stop เทปทำเองก่อนก็ได้นะครับ โอเคนะครับ ทุกคนน่าจะได้นะครับ จากความสัมพันธ์ของชาร์ลครับ ก็คือ V₁ ส่วน T₁ เท่ากับอะไรทุกคน V₂ ส่วน T₂ ใช่ไหม ก็แทนคิดธรรมดาครับ ไม่มีอะไรครับ ก็คือตอนแรกปริมาตรเท่ากับ 2.00 L ที่อุณหภูมิ 25 โอเคนะ ก็แทนไปครับ ก็แสดงว่า ตัวนี้ก็เป็น 2.00 L ครับผม อุณหภูมิ มุกเดิมนะ ห้ามแทนหน่วยเป็นองศาเซลเซียสนะครับ ถ้าเกิดโจทย์ให้เป็นองศาเซลเซียสมา เราต้องบวก 273 เพราะฉะนั้น 25 + 273 ก็คือคล้าย ๆ กับข้อที่แล้วเลยครับ ครูเขียนไปเลยแล้วกันนะ ก็เป็น 298 เคลวินนะครับ โอเคนะ ก็เท่ากับ… ครับ โจทย์ต้องการหาค่า V₂ ครับ โอเคนะ และเขาให้หา V₂ ใช่ไหม ปริมาตรของลูกโป่งที่อุณหภูมิ -20 ครับ เพราะฉะนั้น ตรงนี้เราต้องแทนแบบนี้นะ -20.0 + 273 เคลวิน โอเคไหม ไม่งงครับ ถ้าโจทย์ให้มาเป็นองศาเซลเซียส โอเคนะ โดยจะให้เป็นองศาเซลเซียส ถ้าเราต้องการแปลงเป็นเคลวินครับ เราต้องบวกทำไมครับ 273 โอเค เพราะฉะนั้น เราก็โยกย้ายธรรมดาครับ เพราะฉะนั้น V₂ ก็คือเป็นเท่าไรทุกคน ก็เป็น 2.00 L ครับ โอเคไหมครับ ตรงนี้ครับ 273 + (-20) ครับ ก็จะได้กลายเป็น 253 เคลวินครับ โอเคนะ แล้วหารด้วย 298 เคลวินครับ ย้ายข้างธรรมดานะครับ โอเคนะ จากนั้น เคลวินตัดกับเคลวินครับ ครูคิดว่านักเรียนทุกคนคิดเลขได้ครับ ไม่ได้ยากครับ เลขคิดได้เท่าไรครับผม คิดได้เท่ากับ 1.70 L ใช่ไหมครับ โอเคนะครับ ก็จะได้เท่ากับ 1.70 L ครับ ไม่ยากเลยใช่ไหมครับ จากที่เราได้เรียนไปครับ เดี๋ยวเรามาสรุปความสัมพันธ์ ระหว่างปริมาตรและอุณหภูมิกันสักนิดนะครับ ข้อที่ 1 ครับ เมื่อความดัน และจำนวนโมลของแก๊สคงที่นะครับ ปริมาตรน V ก็จะแปรผันตรงกับอุณหภูมิครับ ที่ไม่งงนะครับ ก็คือถ้าอุณหภูมิสูง ปริมาตรก็เพิ่มครับ ถ้าอุณหภูมิลดลง ปริมาตรก็จะลดลงด้วย ความสัมพันธ์นี้ เรียกว่า \"กฎของชาร์ล\" เยี่ยมมาก ๆ ครับ ทุกคน อันที่ 2 ครับ เราสามารถคำนวณหาปริมาตร หรืออุณหภูมิก็ได้นะครับ เมื่อความดันและจำนวนโมลของแก๊สคงที่ครับ เมื่อแก๊สเปลี่ยนจากสภาวะหนึ่ง ไปสู่สภาวะหนึ่งครับ จากความสัมพันธ์นี้เลยครับ V₁ ส่วน T₁ = V₂ ส่วน T₂ ครับ อย่างไรก็ฝากความสัมพันธ์นี้ ไว้ในอ้อมอกอ้อมใจ ของนักเรียนทุกคนด้วยแล้วกันครับผม สำหรับข้อนี้ครับ ครูก็คิดว่านักเรียนทุกคนน่าจะเข้าใจครับ [เสียงดนตรี]","time":"2025-05-23T14:45:39+07:00","caller":"/go/src/app/internal/handler/text_improver.go:95"}
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