In: Chemistry

# Gaseous phosphorus pentachloride decomposes according to the reaction PCl5 (g) ⇌ PCl3 (g) + Cl2 (g)...

Gaseous phosphorus pentachloride decomposes according to the reaction

PCl5 (g) ⇌ PCl3 (g) + Cl2 (g)

The equilibrium system was analyzed at a particular temperature, and the concentration of the substances present were determined to be [PCl5] = 1.1 x10-2 M, [PCl3] = 0.325 M, and [Cl2] = 3.9 x 10-3 M. Calculate the value of K for the reaction.

## Solutions

##### Expert Solution

Step 1: Explanation

Kp is the equilibrium constant calculated from the partial pressures of a reaction equation. It is used to express the relationship between product pressures and reactant pressures

Step 2: Write the balanced the chemical equation

PCl5 (g) <-----> PCl3 (g) + Cl2 (g)

All value at equilibrium is

[PCl5] = 1.1 × 10-2 M

[PCl3] = 0.325 M

[Cl2] = 3.9 × 10-3 M

Step 3: Calculation of Kc

PCl5 (g) <-----> PCl3 (g) + Cl2 (g)

we know, the Kc expression can be written as

Kc = [PCl3] × [ Cl2] / [PCl5]

on substituting the values

=> Kc = [PCl3] × [ Cl2] / [PCl5] = ( 0.325) × ( 3.9 × 10-3 ) / ( 1.1 × 10-2 ) = 0.11523

[ exact value of Kc= 0.1152272727 ]

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