The rate constant of a reaction at temperature 200k

Asked by admin @ 17/08/2021 in Physics viewed by 320 People

The rate constant of a reaction at temperature 200k is 10 times less than the rate constant at 400 k.what is the activation energy

Answered by admin @ 17/08/2021

C₁ = rate constant at temperature 200 k

C₂ = rate constant at temperature 400 k

Given that

C₁ = C₂ /10

T₁ = lower temperature = 200 k

T₂ = higher temperature = 400 k

Q = activation energy

R = gas constant

The relation between activation energy , temperature and rate constants is given as

ln( C₂/C₁ ) = (Q/R) [(1/T₂) - (1/T₁)]

inserting the above values in the equation

ln( C₂/(C₂ /10) ) = - (Q/R) [(1/400) - (1/200)]

ln(10) ) = - (Q/R) [(1/400) - (1/200)]

2.303 = - (Q/R) [(1/400) - (1/200)]

Q/R = 921

Q = 921 R

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