JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
When heat \(Q\) is supplied to a diatomic gas of rigid molecules at constant volume its temperature increases by \(\Delta T.\) The heat required to produce the same change in temperature, at constant pressure is
- A \(\frac {3}{2}\,Q\)
- B \(\frac {5}{3}\,Q\)
- C \(\frac {7}{5}\,Q\)
- D \(\frac {2}{3}\,Q\)
Answer & Solution
Correct Answer
(C) \(\frac {7}{5}\,Q\)
Step-by-step Solution
Detailed explanation
\(Q=C v \Delta T\) \(Q^{\prime}=C_{P} \Delta T\) \(Q^{\prime}=\frac{C_{P}}{C_{V}} Q=\left(1+\frac{2}{5}\right) Q=\frac{7}{5} Q\)
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