Calculate `DeltaS` for 3 mole of a diatomic ideal gas which is heated and compressed from 298 K and 1 bar to 596 K and 4 bar: [Given: `C_(v,m)(gas)=(5)/(2)R,"ln"(2)=0.70,R=2"cal K^(-1)mol^(-1)`]

Options

A. `-14.7"cal K"^(-1)`
B. `+14.7 cal K^(-1)`
C. `-4.9 cal K^(-1)`
D. 6.3 cal `K^(-1)`

Answer

D

Explanation

`DeltaS=nC_(p,m)"ln"(T_(2))/(T_(1))+nR"in"(P_(1))/(P_(2))`
`=3xx(7)/(2)"R ln"((596)/(298))+3" R ln"(1)/(4)`
`=-6.3" cal K"^(-1)`