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1) The equilibrium constant, K, for the following reaction is 1.80×10-2 at 698 K. 2HI(g) H2(g)...

1) The equilibrium constant, K, for the following reaction is 1.80×10-2 at 698 K. 2HI(g) H2(g) + I2(g) An equilibrium mixture of the three gases in a 1.00 L flask at 698 K contains 0.311 M HI, 4.18×10-2 M H2 and 4.18×10-2 M I2. What will be the concentrations of the three gases once equilibrium has been reestablished, if 2.85×10-2 mol of I2(g) is added to the flask?

2) The equilibrium constant, K, for the following reaction is 1.20×10-2 at 500 K.

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


An equilibrium mixture of the three gases in a 1.00 L flask at 500 K contains 0.258 M PCl5, 5.57×10-2 M PCl3 and 5.57×10-2 M Cl2. What will be the concentrations of the three gases once equilibrium has been reestablished, if 2.90×10-2 mol of PCl3(g) is added to the flask?

3) The equilibrium constant, K, for the following reaction is 1.48×10-2 at 505 K.

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


An equilibrium mixture of the three gases in a 18.9 L container at 505 K contains 0.268 M PCl5,   6.30×10-2 M PCl3 and 6.30×10-2 M Cl2. What will be the concentrations of the three gases once equilibrium has been reestablished, if the equilibrium mixture is compressed at constant temperature to a volume of 9.03 L?

4) The equilibrium constant, K, for the following reaction is 2.53×10-2 at 519 K.

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


An equilibrium mixture of the three gases in a 9.51 L container at 519 K contains 0.303 M PCl5,   8.76×10-2 M PCl3 and 8.76×10-2 M Cl2. What will be the concentrations of the three gases once equilibrium has been reestablished, if the volume of the container is increased to 16.2 L?

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Answer #1

Given reaction:                           2HI(g) ----> H2(g)   +    I2(g)

Before addition of I2 (moles)       0.311        4.18×10-2   4.18×10-2

I2 addition :                                  2.85×10-2

Initial (moles)                  0.311      4.18x10-2   7.03x10-2  

Change                   +2a         -a      -a

Equilibrium                                 0.311+2a 4.18x10-2-a   7.03x10-2-a  


Since we are adding I2 the reaction will move backward infavor of the formation of
HI and therefore the disappearance of a part of H2 and I2.

(note: Since, the volume of the flask is one liter, the number moles = molarity)

Therefore, equilibrium concentration K = [H2][I2]/[HI]2

              1.80×10-2= (4.18x10-2-a)(7.03x10-2-a)/(0.311+2a)2

Therefore, after solving we the following quadratic equation;

           0.99a2 - 0.1345a + 0.0012 = 0

           Roots: a= 0.126, 0.0096 ( since, 0.126 is too large, so we can take a value as 0.0096 ~ 0.01 )


Therefore,                2HI(g)        ----> H2(g)         +    I2(g)

                   0.311+2a     4.18x10-2-a           7.03x10-2-a
                           0.311+2x0.01      4.18x10-2-0.01       7.03x10-2-0.01
                      0.331           3.18x10-2         6.03x10-2

Hence, the concentration of [HI] = 0.331 M
              [H2] = 3.18 x10-2 M
           [I2] = 6.03 x 10-2 M

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