Question

0 39 1. (13 pts) Sucrose hydrolyses readily to glucose and fructose in acidic solution. An experiment on this hydrolysis in 0.50 M HCl produced the following data: t (min) (sucrose) (mol/L) 0.316 14 0.300 0.274 0.256 0.238 110 0.211 140 0.190 170 0.170 210 0.146 Find the order and the rate constant of the reaction, 2. (10 pts) A first-order decomposition reaction is observed to have the following rate constants at the indicated temperatures. k (10-3 3-1 | T (°C) 2.46 0 45.1 20.0 40.0 Find the activation energy and pre-exponential factor using a graph.

Answer 1

Data Trendline -- In [sucrose] -1.8 Eqn. of best fit line · y = -1.149 -0.00367 x - 2 50 50 100 150 200 Time (min)

Data --- Trendline In k TTTT Trendline equation y = 36.702-11667 x -7UIIIIIIIIII 0.0032 0.0033 0.0034 0.0035 0.0036 0.0037 1/T(K)

e plot of lu (SUCROSE) IS TIME IS STRAIGHT LINE SO THE REACTION IS ARST ORDER Loirit SUCROSE FOR A FIRST ORDER REACTION: lu (A] = lu (A)- kt & ORDER = 11 EQN. OF TRENDLINE: y=-10148 -0.008672 slope = -k = -0.00367 RATE CONSTANT, K = (3.67 x103 min 2 ARRHENIUS EON: lu k = -Ea + lu a - plot of luk ve Ź is STRAIGHT LINE WITH slope = - Ea AND Y-INTERCEPT = lu A TRENTINE : y= 361 702 - 11667 slope = -EQ =-11667 = 1166** 8.314 5 /mol = 197.067 RT R mor ACTIVATION ENERGY e 4- INTERCEPT = lu d = 36.702 = _36.702 FREQUENCY FACTOR, A = 18. to x 1015 st