For the reaction, ${\mathrm{H}}_{2}\left(\mathrm{g}\right)+{\mathrm{I}}_{2}\left(\mathrm{g}\right)⇌2\mathrm{HI}\left(\mathrm{g}\right)$, the standard free energy is $∆{\mathrm{G}}^{⊝}>0$. The equilibrium constant (${\mathrm{K}}_{\mathrm{c}}$) would be

(1) ${\mathrm{K}}_{\mathrm{c}}$=0

(2) ${\mathrm{K}}_{\mathrm{c}}$>1

(3) ${\mathrm{K}}_{\mathrm{c}}$=1

(4) ${\mathrm{K}}_{\mathrm{c}}$<1

Hint:

Step 1:

The relation between $∆{\mathrm{G}}^{⊝}$ and ${\mathrm{K}}_{\mathrm{c}}$ is as follows:

Step 2:

when $∆{\mathrm{G}}^{⊝}>0$ means $∆{\mathrm{G}}^{⊝}$ is positive. This can be so only if in ${\mathrm{K}}_{\mathrm{c}}$ is negative i.e., ${\mathrm{K}}_{\mathrm{c}}<1$