# How do you graph the Arrhenius equation?

## How do you graph the Arrhenius equation?

The Arrhenius plot is obtained by plotting the logarithm of the rate constant, k, versus the inverse temperature, 1/T. The resulting negatively-sloped line is useful in finding the missing components of the Arrhenius equation. Extrapolation of the line back to the y-intercept yields the value for ln A.

## What does the Arrhenius graph show?

Arrhenius plots are often used to analyze the effect of temperature on the rates of chemical reactions. For a single rate-limited thermally activated process, an Arrhenius plot gives a straight line, from which the activation energy and the pre-exponential factor can both be determined.

How do you solve for the Arrhenius equation?

The Arrhenius equation is k = Ae^(-Ea/RT), where A is the frequency or pre-exponential factor and e^(-Ea/RT) represents the fraction of collisions that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea) at temperature T.

How do you calculate activation energy for data?

Solutions

1. Use the Arrhenius Equation: k=Ae−Ea/RT. k is the rate constant, A is the pre-exponential factor, T is temperature and R is gas constant (8.314 J/molK)
2. Use the equation: ln(k1k2)=−EaR(1T1−1T2)
3. Use the equation ΔG=ΔH−TΔS.
4. Use the equation lnk=lnA−EaRT to calculate the activation energy of the forward reaction.
5. No.

### What is the Arrhenius equation?

The Arrhenius equation was put forward by the Swedish chemist Svante Arrhenius in the year 1889. For the decomposition reaction undergone by nitrogen dioxide (given by 2NO 2 → 2NO + O 2 ), a graph plotted with the rate constant (k) on the Y-axis and the absolute temperature (T) on the X-axis is provided below.

### How do you solve Arrhenius plot with logarithms?

Arrhenius Plot. When logarithms are taken on both sides of the equation, the Arrhenius equation can be written as follows: ln k = ln (Ae -Ea/RT) Solving the equation further: ln k = ln (A) + ln (e -Ea/RT) ln k = ln (A) + (-E a /RT) = ln (A) – (E a /R) (1/T)

How do you find the slope of an Arrhenius plot?

Solving the equation further: Since ln (A) is a constant, the equation corresponds to that of a straight line (y = mx + c) whose slope (m) is -E a /R. When the logarithm of the rate constant (ln K) is plotted on the Y-axis and the inverse of the absolute temperature (1/T) is plotted on the X-axis, the resulting graph is called an Arrhenius plot.

Why does the Arrhenius equation show an exponential increase in rate constant?

The exponential part of the Arrhenius equation (-E a /RT) accounts for an exponential increase in the value of the rate constant for any decrease in the activation energy.