🛠️ JEE🧪 Chemistry

Given : \({\mathrm{ΔH}}_{\text{sub }}^{⊖}[\mathrm{C}\text{ (graphite) }]=710\mathrm{kJ}{\mathrm{mol}}^{-1}\\ {\Delta }_{…

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Given :
\({\mathrm{ΔH}}_{\text{sub }}^{⊖}[\mathrm{C}\text{ (graphite) }]=710\mathrm{kJ}{\mathrm{mol}}^{-1}\\ {\Delta }_{\mathrm{C}-\mathrm{H}}{\mathrm{H}}^{⊖}=414\mathrm{kJ}{\mathrm{mol}}^{-1}\\ {\Delta }_{\mathrm{H}-\mathrm{H}}{\mathrm{H}}^{⊖}=436\mathrm{kJ}{\mathrm{mol}}^{-1}\\ {\Delta }_{\mathrm{C}=\mathrm{C}}{\mathrm{H}}^{⊖}=611\mathrm{kJ}{\mathrm{mol}}^{-1}\)
The \(\Delta {\mathrm{H}}_{\mathrm{f}}^{⊖}\) for \({\mathrm{CH}}_{2}={\mathrm{CH}}_{2}\) is ________ \({\mathrm{kJmol}}^{-1}\) (nearest integer value)

[JEE Main 2025, 3 Apr (Shift 1)]

a

25

b

439

c

461

d

50

✓ Correct answer: a)

25

Explanation

\({\Delta \mathrm{H}}_{\mathrm{r}}^{⊖}=2(710)+2\times 436−611−4(414)\\ =1420+872−611−1656\\ =25\mathrm{kJ}{\mathrm{mole}}^{−1}\)

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