Question
Download Solution PDFA cylinder contains 0.2 m3 of a gas at a pressure of 1 bar and temperature 27°C. If this gas is compressed to 0.02 m3 at a pressure of 20 bar, the temperature at the end of compression will be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Assumption:
As there is no mention of the polytropic index in the question, it is recommended to assume the gas under consideration as an ideal gas.
General Gas Equation:
For every ideal gas, the following equation holds true.
PV = nRT
This equation can also be written as \({PV \ \over T} = Constant\)
Calculation:
Given:
In the given data, P1 = 1 bar, V1 = 0.2 m3, T1 = 27 °C = 300 K, P2 = 20 bar, V2 = 0.02 m3
Therefore, \(T_2 = {P_2\times V_2\times T_1\ \over P_1\times V_1}\)
\(T_2 = {20 \times 0.02 \times 300\ \over 1 \times 0.2}\)
T2 = 600 K = 327 °C
Last updated on Jul 15, 2025
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