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One mole of an ideal gas \( \left(C_{p} / C_{v}=\gamma\right) \) at absolute temperature \( T_{1} \) is adiabatically compressed from an initial
\( \mathrm{P} \) pressure \( P_{1} \) to a final pressure \( P_{2} \). The resulting temperature \( T_{2} \)

W of the gas is given by:
(A) \( T_{2}=T_{1}\left(\frac{P_{2}}{P_{1}}\right)^{\frac{\gamma}{\gamma-1}} \)
(B) \( T_{2}=T_{1}\left(\frac{P_{2}}{P_{1}}\right)^{\frac{\gamma-1}{\gamma}} \)
(C) \( T_{2}=T_{1}\left(\frac{P_{2}}{P_{1}}\right)^{\gamma} \)
(D) \( T_{2}=T_{1}\left(\frac{P_{2}}{P_{1}}\right)^{\gamma-1} \)
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