JEE Mains · Physics · STD 11 - 11. thermodynamics
A vessel contains \(0.15\) m\(^3\) of a gas at pressure \(8\) bar and temperature \(140°\)C with \(c_p = 3R\) and \(c_v = 2R\). It is expanded adiabatically till pressure falls to \(1\) bar. The work done during this process is _______ kJ. (\(R\) is gas constant)
- A 40
- B 60
- C 80
- D 120
Answer & Solution
Correct Answer
(D) 120
Step-by-step Solution
Detailed explanation
Given \(P_1 = 8\) bar \(= 8 \times 10^5\) Pa, \(V_1 = 0.15\) m\(^3\), and \(P_2 = 1\) bar \(= 10^5\) Pa. The adiabatic index \(\gamma\) is given by: \(\gamma = \dfrac{c_p}{c_v} = \dfrac{3R}{2R} = 1.5\) For an adiabatic process, \(P_1 V_1^\gamma = P_2 V_2^\gamma\).…
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