A particular first-order reaction has a rate constant of 1.35 × 10^2 s−1 at 25.0 ∘C. What is the magnitude of k at 65.0∘C if Ea = 55.5 kJ/mol.

Temperature,

Rate constant,

Gas constant,

By using the Arrhenius equation, we get

→

By substituting the values, we get

→

→        

Thus the response above is right.

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The magnitude of k at 65.0∘C : 1912.7 /s

Given

k at 25 °C = 1.35 x 10² /s k1

T₁=25 + 273 = 298 K

T₂=65 + 273 = 338 K

Required

the magnitude of k at 65.0∘C

Solution

Arrhenius Equation :

R : gas constant= 8.314 J/molK

Input the value :