For which of the following reaction, Kp is equal to Kc?

Question

For which of the following reaction, Kp is equal to Kc?  (A)  PCl5(g)leftharpoons PCl3(g)+Cl2(g)  (B)  2SO2(g)+O2(g)leftharpoons 2SO3(g)  (C)  N2O4(g)leftharpoons 2NO2(g)  (D)  H2(g)+I2(g)leftharpoons 2HI(g)

Tardigrade Admin · Accepted Answer

Kp=Kc(RT)Δ ng where, Δ ng= number of moles of gaseous products-number of moles of gaseous reactants. Hence, for Kp to be equal to Kc, Δ ng should be zero. For the reaction, H2(g)+I2(g)leftharpoons 2 HI(g) Δ ng=2-2=0 Hence, Kp=Kc . (RT)0=Kc

Q. For which of the following reaction, $K_{p}$ is equal to $K_{c} ?$

$PC l_{5} (g) ⇌ PC l_{3} (g) + C l_{2} (g)$

$2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)$

$N_{2} O_{4} (g) ⇌ 2 N O_{2} (g)$

$H_{2} (g) + I_{2} (g) ⇌ 2 H I (g)$

Q. For which of the following reaction, Kp​ is equal to Kc​?

PCl5​(g)⇌PCl3​(g)+Cl2​(g)

2SO2​(g)+O2​(g)⇌2SO3​(g)

N2​O4​(g)⇌2NO2​(g)

H2​(g)+I2​(g)⇌2HI(g)

Kp​=Kc​(RT)Δng​ where, Δng​= number of moles of gaseous products-number of moles of gaseous reactants. Hence, for Kp​ to be equal to Kc​, Δng​ should be zero. For the reaction, H2​(g)+I2​(g)⇌2HI(g) Δng​=2−2=0 Hence, Kp​=Kc​.(RT)0=Kc​

Q. For which of the following reaction, $K_{p}$ is equal to $K_{c} ?$

$PC l_{5} (g) ⇌ PC l_{3} (g) + C l_{2} (g)$

$2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)$

$N_{2} O_{4} (g) ⇌ 2 N O_{2} (g)$

$H_{2} (g) + I_{2} (g) ⇌ 2 H I (g)$