In a thermodynamic process, temperature and volume of one mole of an ideal monatomic gas are varied according to the relation V T = k , where k is a positive constant. In this process, if the temperature of the gas increases by ∆ T , then the amount of heat absorbed by gas is [ R is the universal gas constant]

Question

In a thermodynamic process, temperature and volume of one mole of an ideal monatomic gas are varied according to the relation V T = k , where k is a positive constant. In this process, if the temperature of the gas increases by ∆ T , then the amount of heat absorbed by gas is [ R is the universal gas constant], 1 2 R ∆ T, 3 2 R Δ T, 2 3 R Δ T, 1 3 R Δ T

MARKS App · Accepted Answer

VT = K From ideal gas equation pv = nRT PV 2 = Constant For polytrophic = w = P 1 V 1 - P 2 V 2 x - 1 = nR T 1 - T 2 x - 1 = - nRΔT 2 - 1 = - nRΔT Q = Δu + w Q = 3 2 R Δ T - n R Δ T = 1 2 R Δ T

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