Two samples $A$ and $B$ of a gas initially at the same pressure and temperature are compressed from volume $V$ to $V/2$ (A isothermally and adiabatically). The final pressure of $A$ is

Question

Dr. Abubacker · Accepted Answer

(c) $A$ is compressed isothermally, hence
$P_{1}V = P_{2}\frac{V}{2} \Rightarrow P_{2} = 2P_{1}$
and $B$ is compressed adiabatically, hence
$P_{\ 1}^{'}V^{\gamma} = P_{\ 2}^{'}\left( \frac{V}{2} \right)^{\gamma} \Rightarrow P_{\ 2}^{'} = (2)^{\gamma}P_{\ 1}^{'}$
Since $\gamma > 1$, hence $P_{2}^{\ \ '} > P_{2}$ or $P_{2} < P_{2}^{'}$

Q. Two samples $A$ and $B$ of a gas initially at the same pressure and temperature are compressed from volume $V$ to $V/2$ (A isothermally and adiabatically). The final pressure of $A$ is

Explanation

Reviewed by Dr. Abubacker

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