Question

Wkst #14 Name CHEM& 162 1. Consider the reaction below for the destruction of ozone by chlorine gas. Cl2 +03 - 2 C10 +3°2 Useful Information: 1 [A]. = [A]o - kt In[A]. = In[Al. - kt 1 Expt Rate (M min-1) [CL](M) 8.780x105 0.100 2 7.902x106 0.300 7.902x106 0.300 [03(M) 1.00x10-5 1.00x10-5 2.00x10-5 1 1 + kt [A] [A] 3 A. Write the expression for the reaction rate for each of the reactants and products. Hint: This is the one with the deltas! B. What is the generic rate law for this reaction? Rate C. What is the actual rate law for this reaction? Be sure to include units on k!

Answer 1

(A) for a general reaction, aA + bB (td D The reaction rate is given as; Rate =:- 1 d[A] - 1 d[B] dł c] + 1 dlo b. dt cdt dt In this case +03 adot e) - -Rate of reaction Rate 1 d[ch] _ 1 d[og] 1 1 d [co] + 1 2 dt 1 =t dro] (7/2) at dt at - Rate = - d[ch] d[og] dt df dlceo + 20 = + 2 d[o] (B) Generate Rate law for this reaction iss Rate = ut culto ] = a (Ceja Tob b.

for actual rate law, we will get it from experimental data of the table: wirg Comparing (equation experiment (1) $ (2); Rate = utclajar 037 Experiment ; 8. 78 X 25 - 4 Co.Da cixioso Experiment -2, 7.902x106 I now, diving above, there equations 7.902x106 KC0.3) 9C1x10b 8.78 x 105 K(0.1) a (1x10 Tyb > a = oja (g) ²-3ja a= 2 K(0.3)" Cixion 6 > Now, compariro experiment (2) & (3);- Experiment. 2.) Experiment - 3; 7.902x10. 7.902x106. 40.3 a 1x10r) b of = 4(0.3) 9 (2x 10-5) Now, diving experiment -b) by (2); 7.902x10 6 460.3) 9 (2x10-5) b 7.902x106 b k(0.3) 9 (ix105) (2) b > (2) * = (2) * [h= of - so, now the actual rate law will be r = kľ Cl] ar OgJb = utcll² ogjo Rate = K[Cl2 7 2 1 - It's a and order reaction and for and order reaction, gehit of krrate constant)

Unit of K = mimint (0) Given, time (t) = 6.25 min [C12]; = [c/2) = 0.245 m. since it is a and order kinetics, using the integrated equation for and order, 1 1 tut TA] [A] Tagi 1 tkt a [ch], [0]. 1 tk (6.25) [2] 0.245 we W. Using for this need to find out value of experiment (1); [ch]²[0]° (9.45x105).- x (0-D Cexi-5) R & K 0 8.78 X10 8.78 x 107 M mint ne 2 (0.1) 2 1 now, +(8.78X107) *(6:26) A [ab] 0.245 1 31.8.22X10 [cat so, che left 548 75004082 1.82x10 - 2.82x10-9 M

Thank you ! !