Gaseous NOCl decomposes to form the gases NO and Cl2, according to the following equation. 2NOCl(g) ⇌ 2NO(g) + Cl2(g) The numerical value of the equilibrium constant for this reaction is 1.6 × 10⁻⁵ at 35°C. What is the numerical value of the equilibrium constant, at 35°C, for the following reaction? NO(g) + rac{1}{2} Cl2(g) ⇌ NOCl(g)

SSCE VCE Chemistry Extent of Chemical Reactions: Gaseous NOCl decomposes to form

Gaseous NOCl decomposes to form the gases NO and Cl2, according to the following equation - VCE - SSCE Chemistry - Question 11 - 2008 - Paper 1

Question 11

Gaseous NOCl decomposes to form the gases NO and Cl2, according to the following equation. 2NOCl(g) ⇌ 2NO(g) + Cl2(g) The numerical value of the equilibrium consta... show full transcript

Worked Solution & Example Answer:Gaseous NOCl decomposes to form the gases NO and Cl2, according to the following equation - VCE - SSCE Chemistry - Question 11 - 2008 - Paper 1

Step 1

Determine the relationship between the reactions

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Answer

The provided reaction is:

2NOCl(g) ⇌ 2NO(g) + Cl2(g)

We can write the equilibrium constant expression for this reaction, K1:

$K_1 = rac{[NO]^2[Cl_2]}{[NOCl]^2}$

The second reaction is:

NO(g) + \frac{1}{2} Cl2(g) ⇌ NOCl(g)

Writing its equilibrium constant expression, K2:

$K_2 = \frac{[NOCl]}{[NO][Cl_2]^{1/2}}$

Step 2

Relate K1 and K2

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Answer

To find the relationship between K1 and K2, we note that K2 is derived from K1 by reversing the above reaction and adjusting the stoichiometry:

When we reverse a reaction, the equilibrium constant is the inverse: $K_{reverse} = \frac{1}{K}$

Now, we need to adjust for the coefficients. For K2: $K_2 = \frac{1}{\sqrt{K_1}}$

Substituting K1: $K_2 = \frac{1}{\sqrt{1.6 \times 10^{-5}}}$

Step 3

Calculate K2

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Answer

Calculating K2:

First calculate ( \sqrt{1.6 \times 10^{-5}} ):

\Rightarrow K_2 \approx \frac{1}{0.004} = 250$$ Thus, the numerical value of the equilibrium constant K2 at 35°C is approximately 2.5 × 10².

Gaseous NOCl decomposes to form the gases NO and Cl2, according to the following equation - VCE - SSCE Chemistry - Question 11 - 2008 - Paper 1

Worked Solution & Example Answer:Gaseous NOCl decomposes to form the gases NO and Cl2, according to the following equation - VCE - SSCE Chemistry - Question 11 - 2008 - Paper 1

Determine the relationship between the reactions

Relate K1 and K2

Calculate K2

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