SATHEE: Chemical and Ionic Equilibrium

Chemical and Ionic Equilibrium - Result Question 9

####9. The values of $\frac{K_{p}}{K_{C}}$ for the following reactions at $300 K$ are, respectively (At $300 K, R T = 24.62 d m^{3} a t m m o l^{- 1}$ )

$\begin{aligned} N_{2} (g) + O_{2} (g) ⇌ 2 N O (g) & N_{2} O_{4} (g) ⇌ 2 N O_{2} (g) & N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g) \end{aligned}$

(2019 Main, 10 Jan I)

(a) $1, 24.62 d m^{3} a t m m o l^{- 1}, 606.0 d m^{6} a t m^{2} m o l^{- 2}$

(b) $1, 24.62 d m^{3} a t m m o l^{- 1}, 1.65 \times 10^{- 3} d m^{- 6} a t m^{- 2} m o l^{2}$

(c) $24.62 d m^{3} a t m m o l^{- 1}, 606.0 d m^{6} a t m^{- 2} m o l^{2}$ , $1.65 \times 10^{- 3} d m^{- 6} a t m^{- 2} m o l^{2}$

(d) $1, 4.1 \times 10^{- 2} d m^{- 3} a t m^{- 1} m o l, 606 d m^{6} a t m^{2} m o l^{- 2}$

10 Consider the following reversible chemical reactions,

$\begin{aligned} A_{2} (g) + B_{2} (g) & \overset{K_{1}}{⇌} 2 A B (g) 6 A B (g) & \overset{K_{2}}{⇌} 3 A_{2} (g) + 3 B_{2} (g) \end{aligned}$

The relation between $K_{1}$ and $K_{2}$ is (2019 Main, 9 Jan II)

(a) $K_{2} = K_{1}^{3}$

(b) $K_{1} K_{2} = 3$

(d) $K_{1} K_{2} = \frac{1}{3}$

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Solution:

We know that, the relationship between $K_{p}$ and $K_{C}$ of a chemical equilibrium state (reaction) is

$K_{p} = K_{C} (R T)^{Δ n_{g}} \Rightarrow \frac{K_{p}}{K_{C}} = (R T)^{Δ n_{g}}$

where, $Δ n_{g} = Σ n_{Products} - Σ n_{Reactants}$

(i) $N_{2} (g) + O_{2} (g) ⇌ 2 N O (g)$

$\Rightarrow (R T)^{2 - (1 + 1)} = (R T)^{0} = 1$

(ii) $N_{2} O_{4} (g) ⇌ 2 N O_{2} (g)$

$\Rightarrow (R T)^{2 - 1} = R T = 24.62 d m^{3} a t m m o l^{- 1}$

(iii) $N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g)$

$\Rightarrow (R T)^{2 - (3 + 1)} = (R T)^{- 2}$

$\begin{aligned} = \frac{1}{{(24.62 d m^{3} a t m m o l^{- 1})}^{2}} & = 1.649 \times 10^{- 3} d m^{- 6} a t m^{- 2} m o l^{2} \end{aligned}$

Chemical and Ionic Equilibrium - Result Question 9

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Chemical and Ionic Equilibrium - Result Question 9

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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