JEE Main 2026 Apr 5 Shift 1, Chemistry Q24: Gibbs Energy Change and Equilibrium

JEE Main2026Apr 5, Shift 1Chemistry

The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below:

$A (g) ⇌ B (g) + C (g)$

The magnitude of $\frac{Δ H ^{\circ}}{R}$ calculated from the above data is ______. (Nearest integer)

Your answer

Solution

From the van't Hoff equation, a plot of $lo g_{10} K_{p}$ against $1/ T$ has slope $- \frac{Δ H ^{\circ}}{2.303 R}$ .

Using any two rows, e.g. $1/ T$ from 0.05 to 0.06: $Δ (lo g K_{p}) = 2.5 - 3.5 = - 1$ and $Δ (1/ T) = 0.01$ . Slope $= - 100$ .

So $\frac{Δ H ^{\circ}}{R} = - 2.303 \times (- 100) = 230.3$ .

Nearest integer (magnitude): $230$ .

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