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One mole of an ideal monatomic gas is taken from temperature \mathrm{T_{o}} to \mathrm{2T_{o}} by the process \mathrm{P T^{-4}=C}.Considering the following statements choose the correct alternative.

I. Molar heat capacity of the gas is -\frac{3 R}{2}
II. Molar heat capacity of the gas is  \mathrm{\frac{3 R}{2}}
III. Work done is \mathrm{-3 R T_{o}}
IV. Work done is \mathrm{3 R T_{o}}

Option: 1

Statements I and IV are correct.


Option: 2

Statements I and III are correct.


Option: 3

Statements II and IV are correct


Option: 4

Statements II and III are correct.


Answers (1)

best_answer

We know that \mathrm{P T^{-4}=C, P V^{4 / 3}=C}

\mathrm{C=\frac{R}{\gamma-1}-\frac{R}{x-1}=\frac{3 R}{2}-\frac{3 R}{1}=\frac{-3 R}{2}}
\mathrm{ W=\frac{\eta R\left(T_{1}-T_{2}\right)}{\frac{4}{3}-1}=-3 R T_{o}}

\mathrm{ \therefore } (b)

Posted by

rishi.raj

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