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)
Hướng dẫn Giải bài tập Vật lý 10: Quá trình đẳng nhiệt. Định
luật Bôi-lơ-Ma-ri-ốt (SGK Vật lý 10 trang 159)
Bài 1 (trang 159 SGK Vật Lý 10): Kể tên các thông số trạng thái của
một lượng khí.
Lời giải:
Có 3 thông số trạng thái của một lượng khí:
+ Áp suất (P). Đơn vị áp suất: Paxcan (Pa); N/m2; atmôtphe (atm); milimet thủy ngân
(mmHg).
1Pa = 1 N/m2; 1 atm = 1,013.105 Pa; 1 atm = 760 mmHg.
+ Thể tích (V). Đơn vị: cm3; lít m3.
1 cm3 = 10(-6) m3; 1 lít = 1dm3 = 10(-3)(m3)
+ Nhiệt độ tuyệt đối (T): Đơn vị: Kenvin kí hiệu K.
- Liên hệ nhiệt độ kenvin và nhiệt độ cenciut: T = t + 273
Bài 2 (trang 159 SGK Vật Lý 10): Thế nào là quá trình đẳng nhiệt?
Lời giải:
Quá trình đẳng nhiệt: Là quá trình biến đổi trạng thái của một lượng khí xác định, trong
đó nhiệt độ được giữ không đổi.
Bài 3 (trang 159 SGK Vật Lý 10): Phát biểu và viết hệ thức của định
luật Bôi-lơ-Ma-ri-ốt.
Lời giải:
Định luật Bôilơ-Mariốt: Trong quá trình đẳng nhiệt của một lượng khí nhất định, áp suất
tỉ lệ nghịch với thể tích.
Công thức:
hay
Bài 4 (trang 159 SGK Vật Lý 10): Đường đẳng nhiệt trong hệ tọa độ
(p, V) có dạng gì?
Lời giải:
Đường biểu diễn sự biến thiên của áp suất theo thể tích khi nhiệt độ không đổi gọi là
đường đẳng nhiệt.
Trong hệ tọa độ (p, V) đường này là đường hypebol.
Bài 5 (trang 159 SGK Vật Lý 10): Trong các đại lượng sau đây, đại
lượng nào không phải là thông số trạng thái của một lượng khí?
A. Thể tích
B. Khối lượng
C. Nhiệt độ tuyệt đối
D. Áp suất
Lời giải:
Chọn B.
Vì khối lượng có đơn vị là kilogam (kg).
Bài 6 (trang 159 SGK Vật Lý 10): Trong các hệ thức sau đây hệ thức
nào không phù hợp với định luật Bôi-lơ-Ma-ri-ốt?