Question

Muels or reaction Rale 11-5 Reaction Rate and Temperature 57. An increase in temperature from 23°C to 36°C increases the rate constant of a certain reaction by 50.0%. What is the activation energy of the reaction? ( 58. If the activation energy of a reaction is 9.13 kJ, then what is the percent increase in the rate constant when the temperature is increased from 27°C to 69°C? 59. The following data are obtained for the gas-phase de- composition of acetaldehyde: k(L/mol.s) T(K) 0.0105 700 0.101 750 0.60 800 2.92 850 Plot these data (In k versus 17T) and find the activation en- ergy for the reaction. 60.) The following data are obtained for the reaction SiH4(g) — Si(s) + 2H2(g) 49 700 k(5-1) 0.048 2.3 590 t(°C) 500 600 800 Plot these data (In k versus 1/T) and find the activation en- ergy for the reaction.

# 57 58 59 and 60 please someone help me I don't understand this material.

Answer 1

Given that;  

Rate constant k at 23 degree celsius = X ;    at 36 degree celsius k = 1.5 X (increased by 50 %)

T1 =296 K & T2 = 309 K

R = 8.314 J/K/Mol

Required relation is

$log k2/k1 = Ea/2.303R\left [ T2- T1 ]/\left [ T1T2 ]$

log 1.5 = Ea/ 2.303 X 8.314 [309-296/309 X 296]

Energy of activation,Ea = 23709.56 J/mol