For the chemical reaction X ⇄ Y , the standard reaction Gibbs energy depends on temperature T (in K) as
∆ᵣG⁰ (in kJ mol⁻¹) = 120 – (3/8)T The major component of the reaction mixture at T is:
(A) Y if T = 300 K (B) Y if T = 280 K (C) X if T = 350 K (D) X if T = 315 K
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The major component of the reaction mixture at T is 'X if T = 315 K'
Explanation:
As we know,
a). ΔG° = 120 - (3/8) * 300
= 7.5
Here, Y is not maximum.
b). ΔG° = 120 - (3/8) * 280
= 15
Here also, Y is not maximum.
c). ΔG° = 120 - (3/8) * 350
= 11.25
Here, X is minimum.
d) ΔG° = 120 - (3/8) * 315
= 1.875
Here only, X is maximum.
Thus, option D i.e. 'X if T = 315 K' is the correct answer.
Learn more: Gibbs Energy
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