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Fixed mass of an ideal gas collected in ...

Fixed mass of an ideal gas collected in a 24.64 litre sealed rigid vessel at 10 atm is heated from `-73^(@)C` to `27^(@)C` calculate change in gibbs free energy if entropy of gas is a function of temperature as `S=2+10^(-2)T(J//K)(1l atm=0.1kJ)`
(a)`1231.5` J
(b)`1281.5` J
(c)`781.5` J
(d)None

A

1231.5J

B

1281.5J

C

785.1 J

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
At constant `V=(P_(1))/(T_(1))=(P_(2))/(T_(2))impliesP_(2)=1.5`atm ltbr. For single phase `dG=VdP-SdT`
`impliesDeltaG=v.DeltaP-int(2+10^(-2)T)dT`
`781.5J`
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