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   ocr: CHAPTER 15 Solutions to Exercises Chemical Equilibrium 15.30 Kc = (PCIS (PClIClal. [PCIs]ir initial = 0.100 5.00L mol == 0.0200 M PCI; - PCI, + Cl, initial 0.0200 M 0 0 change -X +X +X equil. 0.0200-X X x x2 Assume X is small compared to 0.0200. K=1 1.80 = 0.0200-X x2 X =0.0360; X= 0.190 M 1.80 e 0.0200: Clearly, our assumption is not true. Solve the quadratic formula to obtain the value of X. X-1.80(0.0200-*); x + 1.80x - 0.0360 = 0 X= -b+Vb?. 2 -4ac -1.80 + V(1.80)2 2 + 4(0.0360) -1.80+ N3.384 0.03957 = 0.0198 M x= 2 2 IPCL] = (CI] = 0.0198 M; [PCIE] = 0.0200 M- 0.0198M=2X10"M (For this init ...