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Question: In the reaction AB2(\(\mathcal{l}\)) + 3X2(g) \(\rightleftharpoons\) AX2(g)+ 2BX2(g) \(\Delta\)H = –...

In the reaction AB2(l\mathcal{l}) + 3X2(g) \rightleftharpoons AX2(g)+ 2BX2(g) Δ\DeltaH = – 270 kcal per mol. of AB2(l\mathcal{l}),the enthalpies of formation of AX2(g)& BX2(g) are in the ratio of 4 : 3 and have opposite sign. The value of DHf0 (AB2(l)) = + 30 kcal/mol. Then

A

Δ\DeltaHf0 (AX2) = – 96 kcal /mol

B

Δ\DeltaHf0 (BX2) = + 480 kcal /mol

C

Kp = Kc&Δ\DeltaHf0 (AX2) = + 480 kcal /mol

D

Kp = Kc RT &Δ\DeltaHf0 (AX2) + Δ\DeltaHf0(BX2) = –240 kcal /mol

Answer

Kp = Kc&Δ\DeltaHf0 (AX2) = + 480 kcal /mol

Explanation

Solution

AB2 (l\mathcal{l}) + 3X2 (g) \rightleftharpoons AX2 (g) + 2BX2

Δ\DeltaH = – 270 Kcal

Δ\DeltaHF0 (AX2) + 2 Δ\DeltaHF0 (BX2) – Δ\DeltaHF0 (AB2) = – 270

Δ\DeltaHF0 (AX2) + 2 Δ\DeltaHF0 (BX2) = – 240

\Rightarrow 4x – 6x = – 240

\Rightarrow– 2x = – 240

\Rightarrow x = 120

Δ\DeltaHF0 (AX2) = 4 × 120 = 480 Kcal/mole

Kp = Kc (RT)Δ\Deltang

Δ\Deltang = 0 So, Kp = Kc