The equilibrium constant for the following reactions are given at 25° C 2 A leftharpoons B + C , K 1=1.0 2 B leftharpoons C + D , K2=16 2 C + D leftharpoons 2 P , K3=25 The equilibrium constant for the reaction P leftharpoons A+(1/2) B at 25° C is

Question

The equilibrium constant for the following reactions are given at 25° C 2 A leftharpoons B + C , K 1=1.0 2 B leftharpoons C + D , K2=16 2 C + D leftharpoons 2 P , K3=25 The equilibrium constant for the reaction P leftharpoons A+(1/2) B at 25° C is (A) (1/20) (B) 20 (C) (1/42) (D) 21

Tardigrade Admin · Accepted Answer

We can manipulate the given equations as follows

\frac{1}{2} B + \frac{1}{2} C ⇌ A, K_{1}^{'} = 1

\frac{1}{2} C + \frac{1}{2} D ⇌ B, K_{2}^{'} = \frac{1}{16}

P ⇌ C + \frac{1}{2} D, K_{3}^{'} = \frac{1}{25}

∴ P ⇌ A + \frac{1}{2} B,

K_{final} = 1 \times \frac{1}{4} \times \frac{1}{5} = \frac{1}{20}

Q. The equilibrium constant for the following reactions are given at $2 5^{\circ} C$
$2 A ⇌ B + C, K_{1} = 1.0$
$2 B ⇌ C + D, K_{2} = 16$
$2 C + D ⇌ 2 P, K_{3} = 25$
The equilibrium constant for the reaction $P ⇌ A + \frac{1}{2} B$ at $2 5^{\circ} C$ is

$\frac{1}{20}$

$20$

$\frac{1}{42}$

$21$

Q. The equilibrium constant for the following reactions are given at 25∘C 2A⇌B+C,K1​=1.0 2B⇌C+D,K2​=16 2C+D⇌2P,K3​=25 The equilibrium constant for the reaction P⇌A+21​B at 25∘C is

201​

20

421​

21

We can manipulate the given equations as follows 21​B+21​C⇌A,K1′​=1 21​C+21​D⇌B,K2′​=16​1​ P⇌C+21​D,K3′​=25​1​ ∴P⇌A+21​B, Kfinal ​=1×41​×51​=201​

Q. The equilibrium constant for the following reactions are given at $2 5^{\circ} C$
$2 A ⇌ B + C, K_{1} = 1.0$
$2 B ⇌ C + D, K_{2} = 16$
$2 C + D ⇌ 2 P, K_{3} = 25$
The equilibrium constant for the reaction $P ⇌ A + \frac{1}{2} B$ at $2 5^{\circ} C$ is

$\frac{1}{20}$

$20$

$\frac{1}{42}$

$21$