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Question

In Arrhenius equation for a certain reaction, the value of A (Arrhenius factor) and Ea (activation energy) are 1013 s1 and 12.471 kJ mol1 respectively. At what temperature, the reaction will have specific rate constant of 103s1?

A
541 K
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B
270 K
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C
157 K
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D
728 K
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Solution

The correct option is A 541 K
According to Arrhenius the relationship between temperature and rate constant is given by,
k=AeEa/RT
where,
k : Rate constant​
A : Arrhenius factor or frequency factor or pre-exponential factor​
Ea : Activation energy (in J/mol)​
R : Gas constant​
T : Temperature of reaction (in Kelvin(K))

k=AeEa/RT
Taking ln on both side

ln k=ln AEaRT
lnAk=12.471×1038.314×T
ln1013103=12.471×1038.314×TT=1500ln(16)=15004×ln(2)541K

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