A mixture of $1.57$ mol of $\mathrm{N}_{2}, 1.92$ mol of $\mathrm{H}_{2}$ and $8.13 \mathrm{~mol}$ of $\mathrm{NH}_{3}$ is introduced into a $20 \mathrm{~L}$ reaction vessel at $500 \mathrm{~K}$. At this temperature, the equilibrium constant, $\mathrm{K}_{\mathrm{c}}$ for the reaction $N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g )$ is $1.7 \times 10^{2}$ Is the reaction mixture at equilibrium? If not, what is the direction of the net reaction?

Home » A mixture of mol of mol of and of is introduced into a reaction vessel at . At this temperature, the equilibrium constant, for the reaction is Is the reaction mixture at equilibrium? If not, what is the direction of the net reaction?

A mixture of $1.57$ mol of $\mathrm{N}_{2}, 1.92$ mol of $\mathrm{H}_{2}$ and $8.13 \mathrm{~mol}$ of $\mathrm{NH}_{3}$ is introduced into a $20 \mathrm{~L}$ reaction vessel at $500 \mathrm{~K}$ . At this temperature, the equilibrium constant, $\mathrm{K}_{\mathrm{c}}$ for the reaction $N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g )$ is $1.7 \times 10^{2}$ Is the reaction mixture at equilibrium? If not, what is the direction of the net reaction?

CBSE | Chemistry | Class 11 | Equilibrium | NCERT

A mixture of $1.57$ mol of $\mathrm{N}_{2}, 1.92$ mol of $\mathrm{H}_{2}$ and $8.13 \mathrm{~mol}$ of $\mathrm{NH}_{3}$ is introduced into a $20 \mathrm{~L}$ reaction vessel at $500 \mathrm{~K}$ . At this temperature, the equilibrium constant, $\mathrm{K}_{\mathrm{c}}$ for the reaction $N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g )$ is $1.7 \times 10^{2}$ Is the reaction mixture at equilibrium? If not, what is the direction of the net reaction?

Answer:

The given reaction is:

$\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_{3}(\mathrm{~g})$

The given concentration of various species is

$\left[\mathrm{N}_{2}\right]=\frac{1.57}{20}$ mol $L^{-1} ,\left[\mathrm{H}_{2}\right]=\frac{1.92}{20} \operatorname{mol} L^{-1}, \left[\mathrm{NH}_{3}\right]=\frac{8.31}{20} \mathrm{~mol} L^{-1}$

At any given moment in time during a reaction, the reaction quotient (Q) quantifies the relative quantities of products and reactants present in the reaction mixture at that time.
Now, reaction quotient $\mathrm{Q}_{\mathrm{c}}$ is: