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JEE Mains · Physics · STD 11 - 11. thermodynamics
An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes \(32\) times of its initial value. If the final pressure of gas is \(128\) atmosphers, the value of \(\gamma\) the gas is
- A \(1.5\)
- B \(1.4\)
- C \(1.3\)
- D \(1.6\)
Answer & Solution
Correct Answer
(B) \(1.4\)
Step-by-step Solution
Detailed explanation
Volume of the gas \(v=\frac{m}{d}\) and using \(P V^{7}=\) constant \(\frac{P^{\prime}}{P}=\frac{V}{V^{\prime}}=\left(\frac{d^{\prime}}{d}\right)^{\gamma}\) \(\alpha 128=(32)^{\gamma}\) \(\gamma=\frac{7}{5}=1.4\)
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