I. Molar heat capacity of the gas is \[-\frac{3R}{2}\] |
II. Molar heat capacity of the gas is \[\frac{3R}{2}\] |
III. Work done is \[-3R{{T}_{0}}\] |
IV. Work done is 3 \[R{{T}_{0}}\] |
A) Statements I and IV are correct
B) Statements I and III are correct
C) Statements II and IV are correct
D) Statements II and III are correct
Correct Answer: B
Solution :
We have \[p{{T}^{-4}}=C,\,\,\,p{{V}^{4/3}}=C\] \[C=\frac{R}{\gamma -1}-\frac{R}{x-1}=\frac{3R}{2}-\frac{-3R}{2}\] \[\left( \text{Here},\,\,\gamma =\frac{5}{3}\,\,\text{and}\,x=\frac{4}{3} \right)\] Now, \[W=\frac{\eta R({{T}_{1}}-{{T}_{2}})}{\frac{4}{3}-1}=-3R{{T}_{0}}\]You need to login to perform this action.
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