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)(1atm=0.1kJ)`

Options

A. 1231.5J
B. 1281.5J
C. 785.1 J
D. none

Answer

C

Explanation

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`