Q. 23

# Consider a P-V di

a. We know that work done is given by an ideal gas is given by, According to question,   Work done by the gas=   ...............(1)

Since , Putting the value equation 1 becomes,

Work done= c. To relate the temperature we have to modify the equation in terms of T.

From ideal gas equation we know,

PV=nRT

Where,

P=pressure

V=volume

T=absolute temperature

n=number of moles of gas

R=ideal gas constant

Here, n=1 (given) But , So, comparing both we get, Or   =new constant=C For state 1 let, For state 2 let, Equating both we get,  Now, givenV2 = 2V1  c. Where, is change in internal energy given by n = No. Of moles

Cv= Specific heat capacity at constant volume. = Change in temperature   ...........(2)

W= AlsoV2 = 2V1

W= W= W= ............(3)

Since, and n=1 Putting the value in equation 3

W= Now,      Rate this question :

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