For the gas phase decomposition of t-butyl alcohol, (CH3)3COH--(CH3)2C-CH2 + H2O

Question

For the gas phase decomposition of t-butyl alcohol, (CH3)3COH--(CH3)2C-CH2 + H2O . the rate constant in s has been determined at several temperatures. When In k is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of-3.30-104 K and a y-intercept of 33.8 The value of the rate constant for the gas phase decomposition oft-butyl alcohol at 810 K is (Enter your answer to one significant figure) Subrnit Answer Retry Entire Group 9 more group attempts remaining

Explanation / Answer

From the Arrhenius equation

K = A exp(-Ea/RT)

Take natural logarithm both sides

ln K = ( - Ea/R) *(1/T) + lnA

Y = m*X + C

(-Ea/R) = m = slope = - 3.30 x 10^4 K

Intercept = ln A = C = 33.8

Temperature T = 810 K

ln K = (3.30 x 10^4)*(1/810) + 33.8

= 75.5407

K = 5.608 s-1

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