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  • of heat is added to a monatomic gas in a process in which the gas performs a work of <i

600 \mathrm{~J} of heat is added to a monatomic gas in a process in which the gas performs a work of 150 \mathrm{~J}.The molar heat capacity for the process is

Option: 1

3 \mathrm{R}


Option: 2

4 \mathrm{R}


Option: 3

2 \mathrm{R}


Option: 4

6 \mathrm{R}


Answers (1)

best_answer

\Delta \mathrm{U}=600-150=450 \mathrm{~J}$ $\therefore \Delta \mathrm{T}=\frac{450}{\mathrm{mc}_{\mathrm{v}}}=\frac{450 \times(\gamma-1)}{\mathrm{nR}}=\frac{450(5 / 3-1)}{\mathrm{nR}}=\frac{300}{\mathrm{nR}}

\therefore molar specific heat

\mathrm{C}=\frac{\Delta \mathrm{Q}}{\mathrm{n} \Delta \mathrm{T}}=\frac{600}{300} \times \mathrm{R}=2 \mathrm{R}

Posted by

jitender.kumar

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