The average $C-H$ bond energy is $416 \ kJ \ mol^{-1}$. Which of the following equations correctly represents the bond dissociation of $CH_4$?

  • A
    $CH_{4(g)} + 416 \ kJ \longrightarrow C_{(g)} + 4H_{(g)}$
  • B
    $CH_{4(g)} \longrightarrow C_{(g)} + 4H_{(g)} + 416 \ kJ$
  • C
    $CH_{4(g)} + 1664 \ kJ \longrightarrow C_{(g)} + 4H_{(g)}$
  • D
    $CH_{4(g)} \longrightarrow C_{(g)} + 4H_{(g)} + 1664 \ kJ$

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When ethyne is passed through a red hot tube,the formation of benzene takes place :-
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......$kJ \ mol^{-1}$

From the following data at $25^{\circ} C$,calculate the $\Delta_{r} H^0$ for the reaction $H_2O_{(g)} \rightarrow 2 H_{(g)} + O_{(g)}$:
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$H_{2(g)} + 1/2 O_{2(g)} \rightarrow H_2O_{(g)}$$\Delta H = -242 \ kJ \ mol^{-1}$
$H_{2(g)} \rightarrow 2 H_{(g)}$$\Delta H = 436 \ kJ \ mol^{-1}$
$O_{2(g)} \rightarrow 2 O_{(g)}$$\Delta H = 496 \ kJ \ mol^{-1}$

If the ratio of bond dissociation energies of $XY$,$X_2$,and $Y_2$ is $1 : 1 : 0.5$ and the enthalpy of formation of $XY$ is $\Delta_f H = -200 \ kJ \ mol^{-1}$,then the bond dissociation energy of $X_2$ in $kJ \ mol^{-1}$ is:

What is the standard enthalpy of reaction (in $kJ$) when two moles of $Fe_2O_{3(s)}$ react with $H_2$ gas to give $Fe$ metal? $\Delta H_f^{\circ}$ of $Fe_2O_{3(s)}$ and $H_2O_{(l)}$ are $-824.2$ and $-285.83 \ kJ \ mol^{-1}$ respectively.

Based on the values of $B.E.$ given,calculate the $\Delta_fH^o$ of $N_2H_4\, (g)$ in $kJ\, mol^{-1}$.
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