The rate of a certain reaction is given by the following rate law: rate =k[N=][H2] Use this information to answer the question below. The rate of the reaction is measured to be 0.210 M / s when [N2] = 0.68 M and [H2] = x10 -1 k = OM 2.0 M. Calculate the value of the rate constant. Be sure your answer has the correct number of significant digits.

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Rate Law of a Reaction**

The rate of a certain reaction is given by the following rate law:

\[ \text{rate} = k \left[ \text{N}_2 \right] \left[ \text{H}_2 \right]^2 \]

**Problem Statement**

Use this information to answer the question below.

The rate of the reaction is measured to be 0.210 M/s when \(\left[ \text{N}_2 \right] = 0.68 \, M\) and \(\left[ \text{H}_2 \right] = 2.0 \, M\). Calculate the value of the rate constant. Be sure your answer has the correct number of significant digits.

**Provided Formula for Rate Constant Calculation**

\[ k = \, \Box \, M^{-2} \cdot s^{-1} \]

**Diagrams and Notes**

The image contains a section for inputting the calculated value of the rate constant \( k \). On the right side, a set of user interface buttons are depicted, including selection checkboxes (such as x10), a reset button, and a help button. 

**Instructions**

1. To determine the rate constant \( k \), substitute the given values of \(\left[ \text{N}_2 \right]\) and \(\left[ \text{H}_2 \right]\), along with the given rate, into the rate law equation.
2. Ensure that the calculated value of \( k \) is expressed with the correct units of \( M^{-2} \cdot s^{-1} \) and has the appropriate significant figures.
Transcribed Image Text:**Rate Law of a Reaction** The rate of a certain reaction is given by the following rate law: \[ \text{rate} = k \left[ \text{N}_2 \right] \left[ \text{H}_2 \right]^2 \] **Problem Statement** Use this information to answer the question below. The rate of the reaction is measured to be 0.210 M/s when \(\left[ \text{N}_2 \right] = 0.68 \, M\) and \(\left[ \text{H}_2 \right] = 2.0 \, M\). Calculate the value of the rate constant. Be sure your answer has the correct number of significant digits. **Provided Formula for Rate Constant Calculation** \[ k = \, \Box \, M^{-2} \cdot s^{-1} \] **Diagrams and Notes** The image contains a section for inputting the calculated value of the rate constant \( k \). On the right side, a set of user interface buttons are depicted, including selection checkboxes (such as x10), a reset button, and a help button. **Instructions** 1. To determine the rate constant \( k \), substitute the given values of \(\left[ \text{N}_2 \right]\) and \(\left[ \text{H}_2 \right]\), along with the given rate, into the rate law equation. 2. Ensure that the calculated value of \( k \) is expressed with the correct units of \( M^{-2} \cdot s^{-1} \) and has the appropriate significant figures.
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