The standard Gibbs energy change at `300K` for the reaction `2AhArrB+C` is 2494. `2J`. At a given time, the composition of the reaction mixture is `[A]=1/2, [B]=2` and `[C]=1/2`. The reaction proceeds in the
`(R=8.314JK//"mol"e=2.718)`

Options

A. forward direction because `QltK_(c)`
B. reverse direction because `QltK_(c)`
C. forward direction because `QgtK_(c)`
D. reverse direction because `QgtK_(c)`

Answer

D

Explanation

`DeltaG^(@)=2494.2J`
`2AhArrB+C`.
`[A]=(1)/(2),[B]=2,[C]=(1)/(2)`
`Q=([B][C])/([A]^(2))=(2xx1//2)/((1/2)^(2))=4`
`Q=([B][C])/([A]^(2))=(2xx1//2)/((1/2)^(2))=4`
`DeltaG^(@)=-2.303RTlogK_(C)`.
`2494.2J=-2.303xx(8.314J//K//mol)xx(300K)logK_(C)`
`implieslogK_(C)=-(2494.2J)/(2.303xx8.314J//K//molxx300K)`
`implieslogK_(C)=-0.4341,K_(C)=0.37,QgtK_(C)`.