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The slope in the plot of ln[R] vs. time for a first order reaction is ______. - Chemistry

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Question

The slope in the plot of ln[R] vs. time for a first order reaction is ______.

Options

  • `(+k)/2.303`

  • – k

  • `(-k)/2.303`

  • + k

MCQ
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Solution

The slope in the plot of ln[R] vs. time for a first order reaction is – k.

Explanation:

For the reaction, R `rightarrow` Products

The integrated first order rate equation is

ln [R] = – kt + ln [R0]

Comparing the above equation with a straight line equation y = mx + c

∴ y = ln [R], x = t, slope = – k and intercept = ln [R0]

Thus, the slope for first order reaction is – k.

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