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← JEE Main 2022 · 27 Jul · Shift 1
ChemistryInteger+4 / -1Question 84 of 90

JEE Main 2022 · 27 Jul · Shift 1, Chemistry question 84

The molar heat capacity for an ideal gas at constant pressure is 20.785 J K−1^{-1}mol−1^{-1}. The change in internal energy is 5000 J upon heating it from 300 K to 500 K. The number of moles of the gas at constant volume is ______. [Nearest integer] (Given: R = 8.314 J K−1^{-1} mol−1^{-1})

Answer and worked solution

Official answer: 2

CV=CP−RC_V=C_P-R =12.471=12.471 J K−1^{-1} mol−1^{-1} (32R\frac32R).

Moles. n=500012.471×200=2.0n=\frac{5000}{12.471\times200}=2.0.

Answer: 2