For a reaction , 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L vessel and allowed to react. At equilibrium, the concentration of Z was . The equilibrium constant of the reaction is .

Question

For a reaction , 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L vessel and allowed to react. At equilibrium, the concentration of Z was . The equilibrium constant of the reaction is . The value of x is

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Step 1 — ICE table (V = 1 L):

At equilibrium,  M. Initial  M  change in Z =  M

By stoichiometry: change in X = change in Y =  M

| | X | Y | Z |
|--|--|--|--|
| Initial | 1.0 | 1.5 | 0.5 |
| Change |  |  |  |
| Equil. | 0.75 | 1.25 | 1.0 |

Step 2 — Calculate :

Step 3 — Find x:

The question expresses :

Nearest integer of .

Answer: 1

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