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Q. The graph shows the $P V$ diagram of a process carried out with a certain quantity of oxygèn $\left(\gamma=\frac{7}{5}\right) .$ If $V_{A}=\frac{2}{3} V_{0}$ and $V_{B}=\frac{5}{12} V_{0}$, then the volume till the gas absorbs heat is $\frac{N}{12} V_{0} .$ Find $N$.Physics Question Image

Thermodynamics

Solution:

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$\frac{P}{V_{0}-V_{x}}=\frac{7}{5} \frac{P}{V_{x}}$
$5 V_{x}=7 V_{0}-7 V_{x}$
$V_{x}=\frac{7 V_{0}}{12}$