The Value of `DeltaG^(@)` for the formation of `Cr_(2)O_(3)` is `-"540KJ mol"^(-1)` and that of `Al_(2)O_(3)` is `-827"KJ mol"^(-1)`. Is the reduction of `Cr_(2)O_(3)` possible with Al ?

Explanation

From the given data the following are the thermo chemical equations .
`(4)/(3)Cr_((S))+O_(2_((g)))rarr(2)/(3)Cr_(2)O_(3(s)),DeltaG^(@)-540KJ" ...(1)"`
`(4)/(3)Cr_(2)O_(3_((s)))+O_(2_((g)))rarr(2)/(3)Al_(2)O_(3_((s))),DeltaG^(@)-827KJ" ...(2)"`
Equation (1)-Equation (2)
`(2)/(3)Cr_(2)O_(3_((s)))+(4)/(3)Al_(s)rarr(2)/(3)Al_(2)O_(3_((s)))+(4)/(3)Cr_((s)),DeltaG^(@)-287KJ` .