In: Chemistry
The activation energy for the decomposition of hydrogen iodide
is found to be 180 kJ mol–1 and the
rate constant for this reaction is reported to be 0.24 mol–1 L
min–1at 540 °C. What is k for this reaction
at 30 °C?
Please show all workings
Ea = 180Kj/mole
= 180000J/mole
K1 =
K2 =0.24mole/min
T1 = 30C0 = 30+273 = 303K
T2 = 5400C = 540+273 = 813K
logK2/K1 = Ea/2.303R [1/T1 -1/T2]
log0.24/K1 = 180000/2.303*8.314 [1/303-1/813]
log0.24/K1 = 9400.88(0.0033-0.00123)
log0.24/K1 = 19.459
0.24/K1 = 10^19.459
0.24/K1 = 2.87*10^19
K1 = 0.24/2.87*10^19 = 8.36*10^-21mole/min