An ideal gas is expanding such that P T 2 = constant. The coefficient of volume expansion of the gas is

Question

An ideal gas is expanding such that P T 2 = constant. The coefficient of volume expansion of the gas is, 1 T, 2 T, 3 T, 4 T

MARKS App · Accepted Answer

P T 2 = constant ∴ n RT V T 2 = constant or, T 3 V - 1 = constant Differentiating the equation, we get 3 T 2 V · dT - T 3 V 2 dV = 0 or, 3 dT = T V · dV ..........(i) From the equation, dV = V γ dT γ = Coefficient of volume expansion of gas = dV V · dT From Eq.(i) γ = dV V · dT = 3 T

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