Plots of `log vs.(1)/(T)` plots shows an intercept of `2` on `y-"axis"` with a slope of `45^(@)` for the studied reaction. Assuming that `DeltaH^(@)` and `DeltaS^(@)` as temperature independent, select the correct statement (`s`).

Options

A. `DeltaG^(@)=-2.75 kcal`
B. `DeltaS^(@)=4.606 kcal`
C. `H^(@)=-4.606 cal`
D. `K=100.8`

Explanation

(a,c,d)
`DeltaG^(@)=-2.303RT log K`
`DeltaH^(@)-TDeltaS^(@)=-2.303RT log K`
`2.303 log K=-(DeltaH^(@))/(R )+(DeltaS^(@))/(R )`
`Slope= -(DeltaH^(@))/(2.303R)=tan45^(@)`
`:. DeltaH^(@)=-2.303xx2xx1=-4.606 cal`
Intercept`=(DeltaS^(@))/(2.303R)=2`
`:. DeltaS^(@)=2.303xx2xx2=9.212 cal`
`:. DeltaG^(@)=DeltaH^(@)-TDeltaS^(@)`
`=-4.606-298xx9.212=-2.75 kcal`