Question

The slope of the line obtained on plotting log₁₀[A] vs t for a first order reaction is ______.

Answer 1

The slope of the line obtained on plotting log₁₀[A] vs t for a first order reaction is `bbunderline(- k/2.303)`.

Explanation:

The integrated rate law for a first-order reaction is:

log₁₀[A] = `log_10[A] - k/2.303 t`

This equation is in the form of a straight line:

y = mx + c

where:

y = log⁡₁₀[A],

x = t,

slope (m) = `− k/2.303`

So, the slope is negative and equals `− k/2.303`