Engineering
Chemistry
Equilibrium Constant and Mass Action Law
Calculation of Various Parameters at Equilibrium
Arrhenius Equation
Question

Variation of equilibrium constant K with temperature T is given by van't Hoff equation :
logK=logA-ΔH°2.303RT
A graph between LogK and T–1 was a straight line as shown in the figure and having θ – tan–1 (– 0.5) and OP = 10. Calculate :
(a) ΔH° (Standard heat of reaction) when T = 298K
(b) A (pre - exponential factor)
(c) Equilibrium constant K at 298K
(d) K at 798K, if ΔH° is independent of temperature

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Solution
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(a) log10K=log10A-ΔHo2.303RT

It is an equation of a straight line of the y = c + mx

Slope mtanθ=ΔH°2.303R

0.5=ΔH02.303×8.314

ΔH° = 9.574 mol–1

(b) Intercept D = log10 A = 10A = 1010

D = 1010

(c) logK=10-9.5742.303×8.314×298

K = 9.96 × 109

(d) logK2K1=ΔH20303×R1T1-1T2

logK29.96×109=1.05×10-3

log(K2) = 9.98 × 106

K2=e9.98×106