can you help me solve this and show the work so I can correct my mistake please 3) The decomposition of SO2Cl2 is first-order in SO2Clh and it has a half-life of 4.1 hours. If you begin with 1.6 x 10-3 mol of SO Cl2, how many hours elapse before the quantity of SO2Cl2 has decreased to 2.00 x 10-4 mol? (Chapter 14) Solution t1/2 = 4.1hours K = 0.693/t1/2 = 0.693/4.1 = 0.169hour^-1 [A0] = 1.6*10^-3 mol = 0.0016mol [A] = 2*10^-4 mol = 0.0002mol K = 2.303/t log[A0]/[A] t = 2.303/K log[A0]/[A] = 2.303/0.169 log0.0016/0.0002 = 13.627*0.903 = 12.3hours .