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For two different gases \mathrm{X} and \mathrm{Y},having degrees of freedom \mathrm{f_{1}} and \mathrm{f_{2}} and molar heat capacities at constant volume \mathrm{C_{v_{1}}} and \mathrm{C_{v_{2}}} respectively, for adiabatic process, the In \mathrm{\mathrm{P}} versus \mathrm{\ln \mathrm{V}}graph is plotted as shown

Option: 1

\mathrm{f_{1}>f_{2}}


Option: 2

\mathrm{f_{2}>f_{1}}


Option: 3

\mathrm{C_{v_{2}}>C_{v_{1}}}


Option: 4

\mathrm{C_{v_{1}}>C_{v_{2}}}


Answers (1)

best_answer

For adiabatic process \mathrm{\mathrm{PV}^{\curlyvee}= constant}

\mathrm{\Rightarrow \quad \ln \mathrm{P}+\mathrm{Y} \ln \mathrm{V}= constant}

from the graph

\begin{aligned} & Y_{X}>Y_{Y} \\ \Rightarrow & 1+\frac{2}{f_{1}}>1+\frac{2}{f_{2}} \\ \Rightarrow & f_{2}>f_{1} \text { and } C_{V_{2}}>C_{V_{1}} \end{aligned}

\therefore \quad (c)

Posted by

sudhir kumar

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