Work done by a sample of an ideal gas in a process A is double the work done in another process B. T

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Work done by a sample of an ideal gas in a process A is double the work done in another process B. The temperature rises through the same amount in the two processes. If CA and CB are the molar heat capacities for the two processes, then

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$\left| w_{A} ight| = 2 	imes \left| w_{B} ight|	ext{ But }\Delta U_{A} = \Delta U_{B}.	ext{ Hence }q_{A} > q_{B}	ext{ or, }\left( C_{A}.\Delta T ight) > \left( C_{B}.\Delta T ight) \Rightarrow C_{A} > C_{B}$

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