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Q. Match the column $I$ with column $II$ and mark the appropriate choice.
Column I Column II
(A) $H_{2\left(g\right)}+Br_{2\left(g\right)} \to 2HBr_{\left(g\right)}$ (i) $\Delta H = \Delta U - 2RT$
(B) $PCl_{5\left(g\right)} \to PCl_{3\left(g\right)}+Cl_{2\left(g\right)}$ (ii) $\Delta H = \Delta U + 3RT$
(C) $N_{2\left(g\right)} \to 3H_{2\left(g\right)}+2NH_{3\left(g\right)}$ (iii) $\Delta H = \Delta U$
(D) $2N_{2}O_{5\left(g\right)} \to 4NO_{2\left(g\right)}+O_{2\left(g\right)}$ (iv) $\Delta H = \Delta U + RT$

Thermodynamics

Solution:

$(A) : \Delta n_g = 2-2 = 0$; hence $\Delta H = \Delta U$
$(B) : \Delta n_g = 2-1 = 1$; hence $\Delta H = \Delta U + RT$
$(C) : \Delta n_g = 2 - 4 = -2$; hence $\Delta H = \Delta U - 2RT$
$(D) : \Delta n_g = 5 - 2 = 3$; hence $\Delta H = \Delta U + 3RT$