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The change in the magnitude of the volume of an ideal gas when a small additional pressure ΔP is applied at a constant temperature

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The change in the magnitude of the volume of an ideal gas when a small additional pressure ΔP is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity ΔT at constant pressure. The initial temperature and pressure of the gas were 300 K and 2 atm. respectively. If |ΔT| = C|ΔP| then value of C in (K/atm) is ….

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PV = nRT

PΔV + VΔP = 0

ΔV = - ΔP/P V ...(i)

In second case

PΔV = -nRΔT

ΔV = nRΔT/P  ....(ii)

equating (i) and (ii)

nRΔT/P = - ΔP/P V

C = V/nR

Putting the value of V, n and R, C = 150

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