For the reaction , the value of equilibrium constant is 100 at 298 K. If the initial concentration of all three species is 1 M each, then the equilibrium concentration of C is M. The value of x is (

Question

For the reaction , the value of equilibrium constant is 100 at 298 K. If the initial concentration of all three species is 1 M each, then the equilibrium concentration of C is  M. The value of x is  (Nearest integer)

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Step 1 — Check direction:

Reaction proceeds forward.

Step 2 — ICE table:

| | A | B | C |
|--|--|--|--|
| Initial | 1 | 1 | 1 |
| Change |  |  |  |
| Equil. |  |  |  |

Step 3 — Solve:

Step 4:

M  M (using the exact equilibrium data from the original question)

Answer: 172

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