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  • The given figure has two paths from state A to state B of a thermodynamics process The ratio of molar heat capacity in process 1 & 2 is <img alt="" src="https://cdn.entrance360.c

The given figure has two paths from state A to state B of a thermodynamics process The ratio of molar heat capacity in process 1 & 2 is

Option: 1

1


Option: 2

<1


Option: 3

>1


Option: 4

\leq 1


Answers (1)

best_answer

The molar specific heat capacity is defined as \mathrm{C}=\frac{\mathrm{Q}}{\mathrm{n} \Delta \mathrm{T}}

 since the change in internal energy is same for both the process & the work done in path 1 is greater than that in path 2, therefore the heat absorbed by the gas in path 1 is greater than that in path 2.

\Rightarrow \frac{\mathrm{Q}_{1}}{\mathrm{Q}_{2}}>1, \quad \& \Delta \mathrm{T}_{1}=\Delta \mathrm{T}_{2}
\therefore \frac{\mathrm{C}_{1}}{\mathrm{C}_{2}}=\frac{\mathrm{Q}_{1}}{\mathrm{Q}_{2}} / \frac{\Delta \mathrm{T}_{1}}{\Delta \mathrm{T}_{2}}=\frac{\mathrm{Q}_{1}}{\mathrm{Q}_{2}}>1
\therefore(\mathrm{C})

Posted by

seema garhwal

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