### Determining the Value of \( x \) in the Rate EquationConsider a reaction whose rate equation is given by:\[ \text{Rate} = k[\text{A}]^m[\text{B}]^n \]Given parameters:- \( m = 3 \)- \( n = 3 \)- The unit of the initial rate is \( \frac{\text{M}}{\text{h}} \) (molarity per hour).We need to determine the unit for the rate constant \( k \), which is provided as \( \text{M}^x \text{h}^{-1} \). Here, \( \text{M} = \text{molarity} \) (moles per liter).### Steps to Determine \( x \):1. **Understand the units of each component in the rate equation**: - \(\text{Rate}\) has the unit \( \frac{\text{M}}{\text{h}} \). - \([\text{A}]\) and \([\text{B}]\) each have units \( \text{M} \).2. **Express the rate equation with units**: \[ \frac{\text{M}}{\text{h}} = k (\text{M})^3 (\text{M})^3 \] Simplifying, we get: \[ \frac{\text{M}}{\text{h}} = k (\text{M})^6 \]3. **Determine the units of \( k \)**: Rearrange to solve for \( k \): \[ k = \frac{\frac{\text{M}}{\text{h}}}{\text{M}^6} \] Simplify: \[ k = \text{M}^{1-6} \text{h}^{-1} \] \[ k = \text{M}^{-5} \text{h}^{-1} \]4. **Conclusion**: The unit of \( k \) is \( \text{M}^{x} \text{h}^{-1} \), where \( x = -5 \).Thus, the value of \( x \) is \( -5 \).

Since the rate of reaction is given as Rate = K [A]m [B]n where K = Rate constant [A] =…

A value of k is found from the rate equation Rate = k[A]m[B]". If m=3 and n=3 and the unit for the initial rate is M/h. The unit of k is found to be MX h¯1 (M to the power of x h to the power of minus 1). What is the value of x?

A value of k is found from the rate equation Rate = k[A]m[B]". If m=3 and n=3 and the unit for the initial rate is M/h. The unit of k is found to be MX h¯1 (M to the power of x h to the power of minus 1). What is the value of x?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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