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ws12s08key

# ws12s08key - Worksheet 4 Solutions Data Set 1 Solution...

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Unformatted text preview: Worksheet 4 Solutions. Data Set 1 Solution: First, determine the order of reaction; since a linear relationship is seen for ln[C], the reaction is first order. Therefore, the rate is k[C]. Data at 300K Data at 310 K Time(s) [C] 1/[C] ln[C] [C] Time (s) [C] ln[C] 1/[C] [C] 1 0.12 8.333333-2.1202 0.12 1 0.074-2.6036 13.51351 0.074 2 0.074 13.51351-2.603 0.074 2 0.027-3.6119 37.03704 0.027 3 0.044 22.72727-3.123 0.044 3 0.009-4.7105 111.1111 0.009 4 0.027 37.03704-3.611 0.027 4 0.0036-5.6268 277.7778 0.0036 5 0.016 62.5-4.135 0.016 5 0.0013-6.6453 769.2308 0.0013 6 0.009 111.1111-4.710 0.009 6 0.0005-7.6009 2000 0.0005 8 0.0036 277.7778-5.6268 0.0036 7 6.7E-05-9.610 14925.37 6.7E-05 10 0.0013 769.2308-6.6453 0.0013 10 9E-06-11.607 109890.1 9.1E-06 Solve for rate constant, k , and initial concentration, C , directly knowing the order, using integrated rate law: ln [C] = -kt + ln [C ] so slope = -k and y intercept = ln[C ]. At 300K curve fit yields y = -0.5x-1.6; k = 0.5 sec-1 and [C o ] = 0.2M At 310 K curve fit yields y = -1.0x-1.6; k = 1.0 sec-1 and [C o ] = 0.2M Solve for half life, t1/2, for second order reaction: t 1/2 = 0.693/k At 300 K , t 1/2 = 0.639/0.5sec-1 = 1.39 sec. At 310K, t 1/2 = 0.693/1 sec-1 = 0.693 sec Solve for activation energy,...
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ws12s08key - Worksheet 4 Solutions Data Set 1 Solution...

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