One mole of an ideal monoatomic gas at temperature T 0 expands slowly according to the law P V = constant. If the final temperature is 2 T 0 , heat supplied to the gas is

Question

One mole of an ideal monoatomic gas at temperature T 0 expands slowly according to the law P V = constant. If the final temperature is 2 T 0 , heat supplied to the gas is ​, 2 R T 0, R T 0, 3 2 RT 0, 1 2 RT 0

MARKS App · Accepted Answer

In a process PV x = constant, molar heat capacity is given by C = R γ - 1 + R 1 - x As the process is P V = constant. i.e PV -1 = constant, therefor, x = -1 For ideal monoatomic gas, γ = 5/3 ∴ C = R 5 3 - 1 + R 1 - -1 = 3 2 R + R 2 = 2R Δ Q = n C Δ T = 1 2 R 2 T 0 - T 0 = 2 RT 0

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