The reaction $AB,$ where A and $B$ are ideal gases, is studied at $298K$ and $1$atm.

The standard chemical potential of A at this temperature is $40k\frac{J}{m}ol$ and that for B

is $37k\frac{J}{m}ol.$ The reaction is started with $1$mol of A only, so the amounts of A and B

at a later time are given in terms of extent of reaction $$ by $n_A=1-$ and $n_B=,$

respectively. $($a$)$ Derive the function of Gibbs energy of the reaction. $($b$)$ Plot G

versus $.($c$)$ Plot $d\frac{G}{d}$ versus $.($d$)$ Plot $d^2\frac{G}{d}{}^2$ versus $.(20\%)$