In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K , where K is a constant. In this process the temperature of the gas is increased

Question

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K , where K is a constant. In this process the temperature of the gas is increased by Δ T . The amount of heat absorbed by gas is (R is gas constant):

TestHub · Accepted Answer

According to question VT = K we also know that P V = n RT ⇒ T = ( nR PV ​ ) ⇒ V ( nR PV ​ ) = k ⇒ PV 2 = K ∵ C = 1 − x R ​ + C v ​ (For polytropic process) C = 1 − 2 R ​ + 2 3 R ​ = 2 R ​ ∴ Δ Q = nC Δ T = 2 R ​ × Δ T [here, n = 1 mole ]

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