How will the gas pressure change if it is isothermally compressed 5 times?
March 26, 2021 | education
| Given:
P is the initial gas pressure;
V is the initial gas volume;
V1 = V / 5 – the gas was compressed 5 times.
It is required to determine how the final gas pressure P1 / P2 will change.
According to the condition of the problem, the process took place at a constant temperature, that is, isothermal. Then:
P * V = P1 * V1;
P * V = P1 * V / 5;
P1 = P * V / (V / 5) = 5 * P * V / V = 5 * P.
I.e,
P1 / P = 5 * P / P = 5.
Answer: if you compress the gas 5 times, then the gas pressure will also increase 5 times.
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