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Ideal gas undergoes an adiabatic change in its state from \( \left(P_{1}, V_{1}, T_{1}\right) \) to \( \left(P_{2}, V_{2}, T_{2}\right) \). The work done \( (\mathrm{W}) \) in the process
\( \mathrm{P} \) is ( \( n= \) number of moles, \( C_{p} \) and \( C_{V} \) are molar specific heats

W of gas)
[J \& K CET 2008]
(a) \( W=n\left(T_{1}-T_{2}\right) C_{p} \)
(b) \( W=n\left(T_{1}-T_{2}\right) C_{v} \)
(c) \( W=n\left(T_{1}+T_{2}\right) C_{p} \)
(d) \( W=n\left(T_{1}+T_{2}\right) C_{v} \)
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