For the gas phase decomposition of t-butyl chloride, (CH3)3CC(CH3)2C=CH2 + HCI 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 -2.08×104 K and a y-intercept of 28.6. The value of the rate constant for the gas phase decomposition of t-butyl chloride at 577 K is (Enter your answer to one significant figure.)

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For the gas phase decomposition of t-butyl chloride,

\[ \text{(CH}_3\text{)}_3\text{CCl} \rightarrow \text{(CH}_3\text{)}_2\text{C} = \text{CH}_2 + \text{HCl} \]

the rate constant in s\(^{-1}\) has been determined at several temperatures. When ln \(k\) is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of \(-2.08 \times 10^4 \, \text{K}\) and a y-intercept of 28.6.

The value of the rate constant for the gas phase decomposition of t-butyl chloride at 577 K is \(\boxed{\phantom{0}}\) s\(^{-1}\).

(Enter your answer to one significant figure.)
Transcribed Image Text:For the gas phase decomposition of t-butyl chloride, \[ \text{(CH}_3\text{)}_3\text{CCl} \rightarrow \text{(CH}_3\text{)}_2\text{C} = \text{CH}_2 + \text{HCl} \] the rate constant in s\(^{-1}\) has been determined at several temperatures. When ln \(k\) is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of \(-2.08 \times 10^4 \, \text{K}\) and a y-intercept of 28.6. The value of the rate constant for the gas phase decomposition of t-butyl chloride at 577 K is \(\boxed{\phantom{0}}\) s\(^{-1}\). (Enter your answer to one significant figure.)
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