JEE Advanced levelSingle correct optionDifficulty 3 of 3td210
For an ideal gas the molar heat capacity at constant volume varies as CV=20.0+0.010TJmol−1K−1. Taking R=8.314Jmol−1K−1, the enthalpy change of one mole heated from 300K to 500K is nearest to
A4.80kJ
B6.46kJ
C8.96kJ
D3.14kJ
Answer: B
ΔU=∫CVdT=20.0×200+0.005×(5002−3002)=4800J. For an ideal gas H=U+RT, so ΔH=ΔU+RΔT=4800+1662.8=6462.8J=6.46kJ.