Column $I$ Contains a list of processes involving expansion of an ideal gas. Match this with Column $II$ describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the $ORS$.
Column $I$ Column $II$
$(A)$ An insulated container has two chambers separated by a valve. Chamber $I$ contains an ideal gas and the Chamber $II$ has vacuum. The valve is opened. $(p)$ The temperature of the gas decreases
$(B)$ An ideal monoatomic gas expands to twice its original volume such that its pressure $\mathrm{P} \propto \frac{1}{\mathrm{~V}^2}$, where $\mathrm{V}$ is the volume of the gas $(q)$ The temperature of the gas increases or remains constant
$(C)$ An ideal monoatomic gas expands to twice its original volume such that its pressure $\mathrm{P} \propto \frac{1}{\mathrm{~V}^{4 / 3}}$, where $\mathrm{V}$ is its volume $(r)$ The gas loses heat
$(D)$ An ideal monoatomic gas expands such that its pressure $\mathrm{P}$ and volume $\mathrm{V}$ follows the behaviour shown in the graph $Image$ $(s)$ The gas gains heat

  • A$(A) \rightarrow q,(B) \rightarrow p \& r,(C) \rightarrow p \& s,(D) \rightarrow q \& s$
  • B$(A) \rightarrow p,(B) \rightarrow s \& r,(C) \rightarrow p \& q,(D) \rightarrow q \& r$
  • C$(A) \rightarrow p,(B) \rightarrow p \& s,(C) \rightarrow p \& s,(D) \rightarrow q \& p$
  • D$(A) \rightarrow r,(B) \rightarrow p \& r,(C) \rightarrow s \& s,(D) \rightarrow r \& s$
IIT 2008, Advanced
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