#
**Problem**: A reaction has a rate constant of 1.19×10−2 /s at 400. K and 0.690 /s at 450. K.What is the value of the rate constant at 425 K?

###### FREE Expert Solution

###### FREE Expert Solution

We're being asked to determine the value of the rate constant at 425 K.

We’re given the rate constants at two different temperatures. This means we need to use the ** two-point form of the Arrhenius Equation**:

$\overline{){\mathbf{ln}}{\mathbf{}}\frac{{\mathbf{k}}_{\mathbf{2}}}{{\mathbf{k}}_{\mathbf{1}}}{\mathbf{=}}{\mathbf{-}}\frac{{\mathbf{E}}_{\mathbf{a}}}{\mathbf{R}}{\mathbf{[}}\frac{\mathbf{1}}{{\mathbf{T}}_{\mathbf{2}}}{\mathbf{-}}\frac{\mathbf{1}}{{\mathbf{T}}_{\mathbf{1}}}{\mathbf{]}}}$

**k _{1}** = rate constant at T

_{1}

**k**= rate constant at T

_{2}_{2}

**E**= activation energy (in J/mol)

_{a}**R**= gas constant (8.314 J/mol•K)

**T**= temperature (in K)

_{1}and T_{2}**Step 1:**** Calculate the activation energy, E _{a}.**

We’re given the following values:

###### Problem Details

A reaction has a rate constant of 1.19×10^{−2} /s at 400. K and 0.690 /s at 450. K.

What is the value of the rate constant at 425 K?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Arrhenius Equation concept. You can view video lessons to learn Arrhenius Equation Or if you need more Arrhenius Equation practice, you can also practice Arrhenius Equation practice problems .

What is the difficulty of this problem?

Our tutors rated the difficulty of
*
A reaction has a rate constant of 1.19×10−2 /s at 400. K and...
*
as medium difficulty.

How long does this problem take to solve?

Our expert Chemistry tutor, Sabrina took 11 minutes to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Crawford's class at Calhoun Community College.