A student ran the following reaction in the laboratory at 427 K: PCl5(g) PCl3(g) + Cl2(g) When she introduced 4.21 moles of PCl5(g) into a 1.00 liter container, she found the equilibrium concentration of PCl5(g) to be 4.17 M. Calculate the equilibrium constant, Kc, she obtained for this reaction.

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Chapter12: Chemical Equilibrium
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A student ran the following reaction in the laboratory at 427 K:

PCl5(g) PCl3(g) + Cl2(g)

When she introduced 4.21 moles of PCl5(g) into a 1.00 liter container, she found the equilibrium concentration of PCl5(g) to be 4.17 M.

Calculate the equilibrium constant, Kc, she obtained for this reaction.

Expert Solution
Step 1

PCl5(g)  PCl3(g) + Cl2(g)Initial                           4.21 M    0   0                  Initial concentration ofafter dissociation         -x        x   x                  PCl5 = 4.21 moles/1 litreat equilibrium          4.21x-x    x  x                            = 4.21MGiven at equilibrium PCl5 = 4.17M                                   4.21-x = 4.17M                                               x = 4.21-4.17                                               x = 0.04M   PCl3 = 0.04MCl2 = 0.04MKC = PCl3Cl2  PCl5      = 0.04 M x 0.04 M4.17 MKC = 3.837 x 10-4M

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