Problem: The reaction(CH3)3CBr + OH- → (CH3)3COH + Br-in a certain solvent is first order with respect to (CH 3)3CBr and zero order with respect to OH 2. In several experiments, the rate constant k was determined at different temperatures. A plot of ln(k) versus 1/T was constructed resulting in a straight line with a slope value of -1.10 x 104 K and y-intercept of 33.5. Assume k has units of s-1.a. Determine the activation energy for this reaction.

FREE Expert Solution

We’re given the plot of k (y) vs. 1/T (x)

This means we need to use the two-point form of the Arrhenius Equation:


ln k=-EaR 1T + ln A  y  =     m    x  +   b


where: 

m = slope

b = y-intercept

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Problem Details

The reaction

(CH3)3CBr + OH→ (CH3)3COH + Br-

in a certain solvent is first order with respect to (CH 3)3CBr and zero order with respect to OH 2. In several experiments, the rate constant k was determined at different temperatures. A plot of ln(k) versus 1/T was constructed resulting in a straight line with a slope value of -1.10 x 104 K and y-intercept of 33.5. Assume k has units of s-1.

a. Determine the activation energy for this reaction.

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