Fraction of molecules (having energy greater or equal to activation energy) are plotted against kinetic
energy as shown
at temperature t
Energy of activate
Fraction of molecules
(t+10)at
Temperature B
E
D
Kinetic energy
с
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ANSWER
In the given case:
E
a
=209.5kJ mol
−1
=209500J mol
−1
T=581K
R=8.314J K
−1
mol
−1
Now, the fraction of molecules of reactants having energy equal to or greater than activation energy is given as:
x=e
−Ea/RT
ln
x
=−E
a
/RT
logx=−
2.303RT
E
a
logx=−
2.303×8.314JK
−1
mol
−1
×581
209500Jmol
−1
=18.8323
Now, x= Anti log(18.8323)
=Antilog
19
ˉ
.1677Calculate the fraction of molecules of reactants having energy equal to or greater than activation energy. Answer: Fraction of molecules having energy equal to greater than activation energy, Thus, = ? 18.8323 = x = antilog ( ) = 1.47 × 10?Fraction of molecules having energy equal to activation energy is 2.0 × 10-9.
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