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Question: Answered & Verified by Expert
One mole of ideal gas undergoes a linear process as shown in figure below. Its temperature expressed as a function of volume $\mathrm{V}$ is.
PhysicsKinetic Theory of GasesKVPYKVPY 2015 (SA)
Options:
  • A $\frac{P_{0} V_{0}}{R}$
  • B $\frac{P_{0} V}{R}$
  • C $\frac{P_{0} V}{R}\left(1-\frac{V}{V_{0}}\right)$
  • D $\frac{P_{0} V}{R}\left(1-\left(\frac{V}{V_{0}}\right)^{2}\right)$
Solution:
1424 Upvotes Verified Answer
The correct answer is: $\frac{P_{0} V}{R}\left(1-\frac{V}{V_{0}}\right)$
$P=\frac{-P_{0}}{V_{0}} V+P_{0}$ $\&$ $P V=n R T$
$$
\begin{array}{l}
P V=n R T \\
\therefore T=\frac{P_{0} V}{R}\left[1-\frac{V}{V_{0}}\right]
\end{array}
$$

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