JEE Advanced levelSingle correct optionDifficulty 3 of 3td035
The molar heat capacity of an ideal gas is CP,m=25.0+0.0200TJmol−1K−1 (T in K). With R=8.314Jmol−1K−1, the change in internal energy when one mole is heated from 300K to 500K is
A6600J
B5000J
C2443J
D4937J
Answer: D
ΔH=∫CPdT=25.0(200)+0.0100(5002−3002)=6600J. For an ideal gas ΔU=ΔH−nRΔT=6600−8.314(200)=4937.2J. The value 6600 is ΔH, not ΔU.