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Chemistry Question on Law Of Chemical Equilibrium And Equilibrium Constant

The equilibrium constants for the following two reactions at 298k are given below:
2A ⇋ B+C; K1 =16
2B + C ⇋ 2X; K2 = 25
What is the value of k for the reaction, A+12BXA+\frac{1}{2}B \rightleftharpoons X at 298K?

A

15\frac{1}{5}

B

140\frac{1}{40}

C

54\frac{5}{4}

D

45\frac{4}{5}

E

20

Answer

20

Explanation

Solution

The correct option is (E) : 20