A) \[100\,kJ\,mo{{l}^{-1}}\]
B) \[800\,kJ\,mo{{l}^{-1}}\]
C) \[300\,kJ\,mo{{l}^{-1}}\]
D) \[400\,kJ\,mo{{l}^{-1}}\]
Correct Answer: B
Solution :
\[XY\xrightarrow{{}}{{X}_{(g)}}+{{Y}_{(g)}}\]; \[\Delta H=+a\,\,kJ/mole\] ???.(i) \[{{X}_{2}}\xrightarrow{{}}2X\]; \[\Delta H=+a\,\,kJ/mole\] ???. (ii) \[{{Y}_{2}}\xrightarrow{{}}2Y\]; \[\Delta H=+0.5\,a\,\,kJ/mole\] ???.(iii) \[\frac{1}{2}\times \text{(ii) }+\frac{\text{1}}{\text{2}}\times \text{(iii)-(i),}\] gives \[\frac{1}{2}{{X}_{2}}+\frac{1}{2}{{Y}_{2}}\xrightarrow{{}}XY\]; \[\Delta H=\left( +\frac{a}{2}+\frac{0.5}{2}a-a \right)\,\,kJ/mole\] \[+\frac{a}{2}+\frac{0.5a}{2}-a=-200\] \[a=800\]
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