Question

N moles of gas filled in a container at temperature t is in equilibrium initially.If the gas is compressed slowly and isothermally to half its initial volume the workdone by the atmosphere on the piston is

Answer 1

Hey dear,

● Answer-
-NRt.ln(2)

● Explaination-
# Given-
∆T = 0
V2 = 1/2 V1

# Solution-
For an isothermal process at constant pressure, work done in changing volume from V1 to V2 is given by-
W = NRt.ln(V2/V1)
W = NRt.ln(V1/2V1)
W = NRt.ln(1/2)
W = -NRt.ln(2)

Work done by the atmosphere on the piston is -NRt.ln(2) .


Hope this is useful...

Answer 2

Answer: –nRTLn2

Explanation:

work done in isothermal process

:nRTLn(V2/V1)

A/c to Que. V2=V1/2

So, W. D=nRTLn(1/2)

= –nRTLn2