Consider the following data: \ Delta_ f H^Theta( methane, g)=- X kJ mol^-1 Enthalpy of sublimation of graphite = Y kJ mol^-1 Dissociation enthalpy of H_2= Z kJ mol^-1 The bond enthalpy of C- H bond is given by:

C( s)+2 H_2( g) -> CH_4( g) - x=(Delta H_ sub . of carbon )+2 x ( B.E. of H- H) -4 x ( B.E. of C- H) -x=y+2 z-4( B.E. of C-H) B.E. of C- H=frac y+2 z+ x4

Consider the following data Delta f H Theta methane g X... | null (Chemistry)

JEE Mains 2026 21st January Shift 2

Chemistry

Consider the following data:

\\ \Delta_{\mathrm{f}} \mathrm{H}^{\Theta}(

methane, g

)=-\mathrm{X} \mathrm{kJ} \mathrm{mol}^{-1}\\

Enthalpy of sublimation of graphite

=\mathrm{Y} \mathrm{kJ} \mathrm{mol}^{-1}\\

Dissociation enthalpy of

\mathrm{H}_{2}=\mathrm{Z} \mathrm{kJ} \mathrm{mol}^{-1}\\

The bond enthalpy of

\mathrm{C}-\mathrm{H}

bond is given by:

\frac{X+Y+2 Z}{4}

\frac{X+Y+4 Z}{2}

X+Y+Z

\frac{-X+Y+Z}{4}

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Correct Answer:

Explanation

\mathrm{C}(\mathrm{s})+2 \mathrm{H}_{2}(\mathrm{~g}) \rightarrow \mathrm{CH}_{4}(\mathrm{~g})\\

-\mathrm{x}=\left(\Delta \mathrm{H}_{\text {sub }}\right.

of carbon

)+2 \times(

B.E. of

\mathrm{H}-\mathrm{H})\\

-4 \times(

B.E. of

\mathrm{C}-\mathrm{H})\\

-x=y+2 z-4(

B.E. of

C-H)\\

B.E. of

\mathrm{C}-\mathrm{H}=\frac{\mathrm{y}+2 \mathrm{z}+\mathrm{x}}{4}

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