JEE Main · 2020 · 08 Jan 2020 · Shift 2 · Chemical Thermodynamics

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

Answer: 6.25

Solution

At constant volume the heat raises only the internal energy,

Δ U = n C_{V} Δ T

. With

n = 4

mol,

Δ T = 500 - 300 = 200

K and

Δ U = 5000

C_{V} = \frac{5000}{4 \times 200} = 6.25 J K^{- 1} mo l^{- 1}

JEE Main · 2020 · 08 Jan 2020 · Shift 2 · Numerical answer

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