When the gas was heated at a constant volume by 1 K, the pressure increased by 0.2%.
| May 13, 2021 | education
When the gas was heated at a constant volume by 1 K, the pressure increased by 0.2%. What is the initial gas temperature?
Initial data: isochoric process (V = const); T2 (change in gas temperature) = T1 + 1; P2 (increase in gas pressure) = 100.2% P1 = 1.002 P1.
The initial gas temperature is determined from the equality: P1 / T1 = P2 / T2, whence T1 = P1 * T2 / P2 = P1 * (T1 + 1) / 1.002P1 = (T1 + 1) / 1.002.
1.002T1 = T1 + 1.
1.002T1 – T1 = 1.
0.002T1 = 1.
T1 = 1 / 0.002 = 500 K.
Answer: The initial gas temperature was 500 K.
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