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One mole of an ideal gas undergoes a reversible process \( T=T_{0}+\alpha V \), where \( T_{0} \) and \( \alpha \) are constants. If its volume increases from \( V_{1} \) to \( V_{2} \), then the amount of heat transferred to the gas is
(a) \( C_{P, m} R T_{0} \ln \left(\frac{V_{2}}{V_{1}}\right) \)
(b) \( \alpha C_{P, m} \frac{V_{2}-V_{1}}{R T_{0}} \ln \left(\frac{V_{2}}{V_{1}}\right) \)
(c) \( \alpha C_{P, m}\left(V_{2}-V_{1}\right)+R T_{0} \ln \left(\frac{V_{2}}{V_{1}}\right) \)
(d) \( R T_{0} \ln \left(\frac{V_{2}}{V_{1}}\right)-\alpha C_{P, m}\left(V_{2}-V_{1}\right) \)
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