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JEE Main 20208 JanuaryEvening Shift
Exam
JEE Main
Year
2020
Date
8 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2020 · 8 January · Evening Shift · Chemistry · Thermodynamics (C)

At constant volume, 4mol of an ideal gas when heated from 300K to...

At constant volume, 4mol4mol of an ideal gas when heated from 300K300K to 500K500K changes its internal energy by 5000J.5000J . The molar heat capacity at constant volume is ________

Correct answer

0

Step-by-step solution

For ideal gas :

ΔU=nCV[T2−T1]\Delta\text{U} = {\text{nC}}_{\text{V}}\left[{\text{T}}_{2} - {\text{T}}_{1}\right]

⇒5000=4×CV[500−300]⇒ 5000 = 4 \times {\text{C}}_{\text{V}} [ 500 - 300 ]

⇒CV=5000800=6.25J mole−1K−1⇒ {\text{C}}_{\text{V}} = \dfrac{5000}{800} = 6.25{\text{J mole}}^{- 1}{\text{K}}^{- 1}
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