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The relation ...

Question

The relation between $K_{p}$ and $K_{c}$ is $K_{p} = K_{c} (R T)^{Δ n}$ .
Unit of $K_{p} = (a t m)^{Δ n}$ ;
Unit of $K_{c} = (m o l L^{- 1})^{Δ n}$
.
Consider the following reactions :

i. $C O (g) + H_{2} O (g) ⇌ C O_{2} (g) + H_{2} (g); K_{1}$
ii. $C H_{4} (g) + 2 H_{2} O (g) ⇌ C O_{2} (g) + 4 H_{2} (g); K_{2}$
iii. $C H_{4} (g) + C O + 3 H_{2} O (g) ⇌ 2 C O_{2} (g) + 5 H_{2} (g); K_{3}$

Which of the following is correct?

A

K_{3} = K_{1} / K_{2}

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B

K_{2} = K_{1}^{2} / K_{2}^{3}

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C

K_{3} = K_{1} \times K_{2}

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D

K_{3} = K_{1} \sqrt{K_{2}}

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Solution

The correct option is C $K_{3} = K_{1} \times K_{2}$
$C O (g) + H_{2} O (g) ⇌ C O_{2} (g) + H_{2} (g); K_{1}$ ------ 1

$C H_{4} (g) + 2 H_{2} O (g) ⇌ C O_{2} (g) + 4 H_{2} (g); K_{2}$ ----- 2

3 equation or reaction can be obtained by adding 1st and 2nd equation or reaction.

$C H_{4} (g) + C O + 3 H_{2} O (g) ⇌ 2 C O_{2} (g) + 5 H_{2} (g); K_{3}$ ---- 3

So,

$K_{3} = K_{1} \times K_{2}$ .

So, C is the correct option.

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Similar questions

Q. Consider the reactions:

C O (g) + H_{2} O (g) ⇌ {C O}_{2} (g) + H_{2} (g); K_{1}

{C H}_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g); K_{2}

{C H}_{4} (g) + 2 H_{2} O (g) ⇌ {C O}_{2} (g) + {4 H}_{2} (g); K_{3}

Which of the following is correct?

For the following three reactions a, b and c, equilibrium constants are given;

C O (g)

+ H_{2} O (g) ⇋ C O_{2} (g) + H_{2} (g); K_{1}

C H_{4} (g) + H_{2} O (g) ⇋ C O (g) + 3 H_{2} (g); K_{2}

C H_{4} (g) + 2 H_{2} O (g) ⇋ C O_{2} (g) + 4 H_{2} (g); K_{3}

Which of the following relations is correct?

Q. For the following three reactions a, b, c, equilibrium constants are given:

C O

(g) + H_{2} O (g) ⇌ C O_{2} (g) + H_{2} (g)

K_{1}

C H_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g); K_{2}

C H_{4} (g) + 2 H_{2} O (g) ⇌ C O_{2} (g) + 4 H_{2} (g); K_{3}

Which of the following relations is correct?

Q. For the following three reactions a, b, and c, equilibrium constants are given:
(A)

C O (g) + H_{2} O (g) ⇋ C O_{2} (g) + H_{2} (g); K_{1}

C H_{4} (g) + H_{2} O (g) ⇋ C O (g) + 3 H_{2} (g); K_{2}

C H_{4} (g) + 2 H_{2} O (g) ⇋ C O_{2} (g) + 4 H_{2} (g); K_{3}

Which of the following relations is correct

For $C u^{2 +}$ ion in $[C u (H_{2} O)_{4} (e n)]^{2 +}, [C u (H_{2} O)_{2} (e n)_{2}]^{2 +}$ and $[C u (e n)_{3}]^{2 +}$ with the stability constant $k_{1}, k_{2}$ and $k_{3}$ respectively, which of the following holds true?

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