JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
\(1\) mole of rigid diatomic gas performs a work of \(Q / 5\) when heat \(Q\) is supplied to it. The molar heat capacity of the gas during this transformation is \(\frac{ x R }{8},\) The value of \(x\) is \(\ldots \ldots \ldots .\) \([ K =\) universal gas constant \(]\)
- A \(30\)
- B \(25\)
- C \(36\)
- D \(45\)
Answer & Solution
Correct Answer
(B) \(25\)
Step-by-step Solution
Detailed explanation
\(Q =\Delta U + W\) \(Q =\Delta U +\frac{ Q }{5}\) \(\Delta U =\frac{4 Q }{5}\) \(nC _{ v } \Delta T =\frac{4}{5} nC \Delta T\) \(\frac{5}{4} C_{v}=C\) \(C=\frac{5}{4}\left(\frac{f}{2}\right) R=\frac{5}{4}\left(\frac{5}{2}\right) R\) \(C =\frac{25}{8} R\) \(x =25\)
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