COMEDK · Physics · 13. Thermodynamics
The molar heat capacity in a process of a diatomic gas if it does a work of \(\frac{Q}{4}\), when a heat of \(Q\) is supplied to it is
- A \(\frac{2}{5} R\)
- B \(\frac{5}{2} R\)
- C \(\frac{10}{3} R\)
- D \(\frac{6}{7} R\)
Answer & Solution
Correct Answer
(C) \(\frac{10}{3} R\)
Step-by-step Solution
Detailed explanation
\(d U=C_V d T=\left(\frac{5}{2} R\right) d T\) or \(d T=\frac{2(d U)}{5 R}\) From first law of thermodynamics, \(d U=d Q-d W=Q-\frac{Q}{4}=\frac{3 Q}{4}\) Now, molar heat capacity,…
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