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Q. $56\, g$ of nitrogen and $8\, g$ of hydrogen gas are heated in a closed vessel. At equilibrium $34\, g$ of ammonia are present. The equilibrium number of moles of nitrogen, hydrogen and ammonia are respectively :

KCETKCET 2004

Solution:

$$
\begin{array}{lccc}
N _{2} & + & 3 H _{2} & \rightarrow & 2 NH _{3} \\
2 & 4 & & 0 \\
2- x & 4-3 x & & 2 x
\end{array}
$$
According to the question, $2 x =2 \Rightarrow x =1$
Hence at equilibrium,
number of moles of $N _{2}=2- x =2-1=1$
number of moles of $H _{2}=4-3 x =4-3=1$
number of moles of $NH _{3}=2 x =2$