P-V plots for two gases during adiabatic process are shown. Plots (1) and (2) corresponds to

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11.Thermodynamics

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$P-V$ plots for two gases during adiabatic process are shown. Plots $(1)$ and $(2)$ corresponds to

A

$He$ and $O_2$

B

$O_2$ and $He$

C

$He$ and $Ar$

D

$O_2$ and $N_2$

Solution

$\mathbf{P V}^{\gamma}=\mathrm{nRT}=\mathrm{constant}$

$\mathrm{P}_{Y} \mathrm{V}^{\gamma-1} \Delta \mathrm{V}+\mathrm{V}^{\gamma} \Delta \mathrm{P}=\mathrm{constant}$

$\frac{\Delta P}{\Delta V}=-\gamma \frac{P}{V}$

$\text { slope } \propto \gamma \quad \gamma_{\text {mono }}=\frac{5}{3}=1.6$

(slope) $_{2}>(\text { slope })_{1} \quad \gamma_{\text {diatonic }}=\frac{7}{5}=1.4$

$(2)$ Mono $\rightarrow$ He $(1)$ Dia. $\rightarrow \mathrm{O}_{2}$

Standard 11

Physics

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