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Question

# In Arrhenius equation for a certain reaction, the value of A (Arrhenius factor) and Ea (activation energy) are 1013 sâˆ’1 and 12.471 kJ molâˆ’1 respectively. At what temperature, the reaction will have specific rate constant of 10âˆ’3sâˆ’1?

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 KAccording to Arrhenius the relationship between temperature and rate constant is given by, k=Ae−Ea/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=Ae−Ea/RT Taking ln on both side ln k=ln A−EaRT lnAk=12.471×1038.314×T ln101310−3=12.471×1038.314×TT=1500ln(16)=15004×ln(2)≈541K

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