MCQ
Given
$
\begin{array}{l}
C_{\text {graphite }}+O_2 \rightarrow CO_2(g): \\
\Delta_{r} H^0=-393.5 KJ / mol
\end{array}
$
$
H_2(g)+\frac{1}{2} O_2(g) \rightarrow H_2 O(l)
$
$
\Delta_r H^0=-285.8 kJ / mol
$
$
CO_2(g)+2 H_2 O(l) \rightarrow CH_4(g)+2 O_2(g):
$
$
\Delta_r H^0=+890.3 kJ mol^{-1}
$
Based on the above thermochemical equations, the value of $\Delta_r H^0$ at 298 K for the reaction
$
C_{\text {(graphite) }}+2 H_2(g) \rightarrow CH_4(g) \text { will be : }
$
  • A
    $+144.0 kJ mol ^{-1}$
  • $-74.8 kJ mol ^{-1}$
  • C
    $-144.0 kJ mol ^{-1}$
  • D
    $+74.8 kJ mol ^{-1}$

Answer

Correct option: B.
$-74.8 kJ mol ^{-1}$
(B)$-74.8 kJ mol ^{-1}$
$-393.5-285.8 \times 2+890.3=-74.8 kJ / mol$

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