Exam

NTA Abhyas

Year

2020

Subject

Chemistry

Chapter

Chemical Equilibrium

NTA Abhyas 2020 · Chemistry · Chemical Equilibrium

10 moles of A _ 2 , 15 moles of B _ 2 and 5 moles of AB are placed...

10$moles of${A}_{2}$,$15$moles of${B}_{2} and 5$moles of$AB$are placed in a$2$litre vessel and allowed the come to equilibrium. The final concentration of$AB$is$10.5M$,<br /> <br />${A}_{2} \left(\text{g}\right) + {B}_{2}\left(\text{g}\right)\overset{}{⇌}}2\ttext{AB}\left(\text{g}\right)<$br /> <br /> Determine the value of equilibrium constant \left({K}_{C}\right)$for the reaction.

Step-by-step solution

$\dfrac{5 + 2x}{2} = 10.5; \text{x} = 8$

${K}_{C} = \dfrac{{[ AB ]}^{2}}{\left[{A}_{2}\right]\left[{B}_{2}\right]} = \dfrac{{\left(\dfrac{5 + 2x}{2}\right)}^{2}}{\left(\dfrac{10 - x}{2}\right)\left(\dfrac{15 - x}{2}\right)} = \dfrac{{( 21 )}^{2}}{2 \times 7} = 31.5$