Question

The change in internal energy of two moles of an
ideal gas, when volume changes from 2V to 5V at
constant pressure P is (y = C/C)​

Answer 1

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Volume of a gas (cp/cv=y) expands from a volume v to 2v at constant pressur

Volume of a gas (cp/cv=y) expands from a volume v to 2v at constant pressure p .Find the change in internal energy??

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A)

Given:

Cp/Cv = ɣ

Change in volume ΔV = 2V − V = V

Pressure is constant.

We have the expresions:

Change in internal energy ΔU = n Cv ΔT ---------------(1)

PV = nRT

Differentiating ,

P ΔV = nR ΔT

PV = nR ΔT (as ΔV = V)

ΔT = PV/nR ------------------------(2)

Substituting (2) in (1) we get

ΔU = nCv PV/nR

= Cv PV/R

= Cv PV/(Cp−Cv) (as R = Cp−Cv )

= PV/[(Cp−Cv )/Cv ]

= PV/(ɣ − 1)

Answer 2

Answer:

3PV/у-1

Explanation: