The equilibrium constant for the following reactions are K1 and K 2, respectively. 2 P (g)+3 Cl 2(g) leftharpoons 2 PCl 3(g) PCl 3(g)+ Cl 2(g) leftharpoons PCl 5(g) Then, the equilibrium constant for the reaction 2 P (g)+5 Cl 2(g) leftharpoons 2 PCl 5(g) is

Question

The equilibrium constant for the following reactions are K1 and K 2, respectively. 2 P (g)+3 Cl 2(g) leftharpoons 2 PCl 3(g) PCl 3(g)+ Cl 2(g) leftharpoons PCl 5(g) Then, the equilibrium constant for the reaction 2 P (g)+5 Cl 2(g) leftharpoons 2 PCl 5(g) is (A) K1 K2 (B) K1 K22 (C) K21 K22 (D) K21 K2

Tardigrade Admin · Accepted Answer

If the equation is multiplied by 2 the equilibrium constant for the new equation is the square of K, i.e. K2. If we add two equation, then the equilibrium constant of new equations is the product of the equilibrium constant of those equations. For the reactions, 2 P (g)+3 Cl 2(g) leftharpoons 2 PCl 3(g) ...(i) PCl 3(g)+ Cl 2(g) leftharpoons PCl 5(g) ...(ii) 2 P (g)+5 Cl 2(g) leftharpoons 2 PCl 5(g) ...(iii) To obtain (iii) we multiply Eq. (ii) by 2 and then add Eq. (i) to it. Thus, equilibrium constant for Eq. (iii), K=K1 K22

Q. The equilibrium constant for the following reactions are $K_{1}$ and $K_{2}$ , respectively.
$2 P (g) + 3 C l_{2} (g) ⇌ 2 PC l_{3} (g)$
$PC l_{3} (g) + C l_{2} (g) ⇌ PC l_{5} (g)$
Then, the equilibrium constant for the reaction
$2 P (g) + 5 C l_{2} (g) ⇌ 2 PC l_{5} (g)$ is

$K_{1} K_{2}$

$K_{1} K_{2}^{2}$

$K_{1}^{2} K_{2}^{2}$

$K_{1}^{2} K_{2}$

Q. The equilibrium constant for the following reactions are K1​ and K2​, respectively. 2P(g)+3Cl2​(g)⇌2PCl3​(g) PCl3​(g)+Cl2​(g)⇌PCl5​(g) Then, the equilibrium constant for the reaction 2P(g)+5Cl2​(g)⇌2PCl5​(g) is

K1​K2​

K1​K22​

K12​K22​

K12​K2​

Q. The equilibrium constant for the following reactions are $K_{1}$ and $K_{2}$ , respectively.
$2 P (g) + 3 C l_{2} (g) ⇌ 2 PC l_{3} (g)$
$PC l_{3} (g) + C l_{2} (g) ⇌ PC l_{5} (g)$
Then, the equilibrium constant for the reaction
$2 P (g) + 5 C l_{2} (g) ⇌ 2 PC l_{5} (g)$ is

$K_{1} K_{2}$

$K_{1} K_{2}^{2}$

$K_{1}^{2} K_{2}^{2}$

$K_{1}^{2} K_{2}$