The one in a closed cylinder was heated from 300 to 360 K, while the pressure increased by 81 kPa.
| March 9, 2021 | education
The one in a closed cylinder was heated from 300 to 360 K, while the pressure increased by 81 kPa. Determine the initial pressure.
Data: V (closed balloon volume) = const (isochoric process); T1 (initial gas temperature) = 300 K; T2 (temperature after heating) = 360 K; ΔР (change (increase) in gas pressure) = 81 kPa.
The initial gas pressure in a closed cylinder can be determined from the equality: P1 / T1 = (P1 + ΔР) / T2 and P1 * T2 = (P1 + ΔР) * T1.
P1 * 360 = (P1 + 81) * 300.
360P1 = 300P1 + 24300.
60P1 = 24300 and P1 = 24300/60 = 405 kPa.
Answer: The initial gas pressure in the closed cylinder was 405 kPa.
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