Phosphorus pentachloride decomposes at higher temperatures. PCl5(g) ⇄ PCl3(g) + Cl2(g) An equilibrium mixture at some temperature consists of 4.75 g PCl5, 208.23 g/mol 4.86 g PCl3, 137.33 g/mol 3.59 g Cl2, 70.91 g/mol in a 1.00-L flask. If you add 1.31 g of Cl2, how will the equilibrium be affected and what will the concentration of PCl5 be when equilibrium is reestablished?

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Phosphorus pentachloride decomposes at higher temperatures.

PCl5(g) ⇄ PCl3(g) + Cl2(g)

An equilibrium mixture at some temperature consists of

4.75 g PCl5, 208.23 g/mol
4.86 g PCl3, 137.33 g/mol
3.59 g Cl2, 70.91 g/mol

in a 1.00-L flask.

If you add 1.31 g of Cl2, how will the equilibrium be affected and what will the concentration of PCl5 be when equilibrium is reestablished?

Expert Solution
Step 1

 

The given equilibrium reaction is

PC15(g) = PC13(g) + Cl2(g)

The equilibrium amounts in grams are given. Hence, we can calculate the equilibrium number of moles as follows:

n PCl5 = 4.75/208.23 = 0.0228 mol

4.86 g npCl3 = 137.33 g/mol 0.0354 mol

3.599 Cl270.91 g/mol 50.0506 mol

Since the volume of the container is 1.00 L, the number of moles at equilibrium are equal to the molar concentrations.

[PCl5] = 0.0228 M

PC13) = 0.0354 M

Cl2 = 0.0506 M

Hence, we can calculate the value of equilibrium constant Kc for the reaction as follows:

Kc = PCl3×Cl2 / PCl5  = 0.0354× 0.0506 / 0.0228= 0.0785

Now, the equilibrium is disturbed by addition of 1.31 g of Cl2.

Note that Cl2 is a product in the reaction. Hence, addition of a product to the equilibrium mixture will result in shift of the equilibrium towards the reactants (i.e. towards left) according to Le Chateliers principle.

Hence, the equilibrium will shift towards left.

Now, number of moles of Cl2 added is

1.31 g 70.91 g/mol G=0.01847 mol

Hence, the new initial concentration of Cl2 is

C12] = 0.0506 mol + 0.01847 mol 1.00 L 0.0691 M

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