MCQ
For the equilibrium

$2{H_2}O \rightleftharpoons {H_3}{O^ + } + O{H^ - }$ , 

the value of $\Delta {G^o}$ at $298\,K$ is approximately .......$kJ\,mol^{-1}$

  • A
    $100$
  • B
    $-80$
  • $80$
  • D
    $-100$

Answer

Correct option: C.
$80$
c
$\Delta {G^o} =  - 2.303RT\,\log \,{K_{eq}}$

$ =  - 2.303 \times 8.314 \times 298\,\log \,{10^{ - 14}}$

$ =  - 2.303 \times 8.314 \times 298 \times  - 14$

$ = 79,881.87$

$ \simeq 80\,KJ\,mo{l^{ - 1}}$

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