Answer: The relation between the forward and reverse reaction is
![K_f=(1)/(K_r)](https://img.qammunity.org/2021/formulas/chemistry/high-school/hlkgl6rdojiovldlzuo50f7uqpbjrv3jr1.png)
Step-by-step explanation:
For the given chemical equation:
![2NH_3(g)\rightleftharpoons N_2 (g)+3H_2(g)](https://img.qammunity.org/2021/formulas/chemistry/high-school/zlu98744xab8533ydr1nr0m8sraw9g30rg.png)
The expression of equilibrium constant for above equation follows:
.......(1)
The reverse equation follows:
![N_2 (g)+3H_2(g)\rightleftharpoons 2NH_3(g)](https://img.qammunity.org/2021/formulas/chemistry/high-school/hdmoahapk0azklx2nyamhtih2kdtzq6zu1.png)
The expression of equilibrium constant for above equation follows:
.......(2)
Relation expression 1 and expression 2, we get:
![K_f=(1)/(K_r)](https://img.qammunity.org/2021/formulas/chemistry/high-school/hlkgl6rdojiovldlzuo50f7uqpbjrv3jr1.png)
Hence, the relation between the forward and reverse reaction is
![K_f=(1)/(K_r)](https://img.qammunity.org/2021/formulas/chemistry/high-school/hlkgl6rdojiovldlzuo50f7uqpbjrv3jr1.png)