00:02
In this problem, following gas phase reaction follows first -order kinetics.
00:11
Clo2f gives clof and o.
00:17
With activation energy ea equals to 186 kilojoule per mole, which is equal to 186 kilojoules per mole, which is to the power 3 jule per mole.
00:39
The value of rate constant k is equal to 6 .76 into 10 raised to the power minus 4 per second at temperature t equals to 322 degree c which is equal to 322 plus 273 kelvin which is equal to 595 kelvin.
01:16
From arrhenius equation, we know that rate constant k is equal to a into e raised to the power minus e a by rt, where a indicates frequency factor.
01:52
So we can calculate frequency factor for this reaction, k into e to the power e .a by rt.
02:18
Now substitute the value of k, activation energy, ea and r &t we get 6 .76 into 10 dash to the power minus 4 per second into e raise to the power 186 into 10 dash to the power 186 jule per 1 .006.
02:44
Mole divide by value of r is 8 .31 jule per mole per calvin into temperature is 595 kelvin.
03:03
With the help of calculator we get e raised to the power 37 .59998.
03:23
We get a equals to 1 .3.
03:26
X x x x to the power 13 second inverse frequency factor a equals to 1 .4 into 10 x to the power 13 per second now in part a temperature is given t equals to 25 degrees c which is equal to 25 plus 273 kelvin which is equal to 298 kelvin.
04:20
We have to calculate the value of k at this temperature, we can write k equals to a into e to the power minus ea divided by rt.
04:34
A equals to 1 .4 into 10 to the power 13 per second minus 186 into 10 to the power 3, jule per mole divide by r is equal to 8 .314 jule per mole per kelvin into temperature is 298 kelvin.
05:11
With the help of calculator we get this is equal to 3 .50 into 10 -rest to the power minus 20 per second.
05:25
Therefore, k equals to 3 .50 into 10 x to the power minus 20 per second...