Question

The slope of the line obtained on plotting log₁₀ k against `1/T` is equal to ______.

Options

• `E_a/R`

• `- E_a/R`

• `E_a/(2.303 R)`

• `- E_a/(2.303 R)`

Answer 1

The slope of the line obtained on plotting log₁₀ k against `1/T` is equal to `bbunderline(- E_a/(2.303 R))`.

Explanation:

The slope of the plot of log⁡₁₀ k vs. `1/T` comes from the Arrhenius equation.

In logarithmic base 10 form:

`log_10 k = log_10 A - E_a/(2.303 RT)`

Compare with the straight-line equation:

y = mx + c

y = log₁₀ ​k

x = `1/T`

Slope m = `- E_a/(2.303 R)`