Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Rate Law Calculation Example** **Question 19 of 36:** *A reaction has a rate law of Rate = (1.25 M⁻¹s⁻¹)[A][B]. What is the rate of the reaction if [A] = 0.301 M and [B] = 0.280 M?* **Calculation:** **Step 1: Understand the Rate Law** The rate law is given by: \[ \text{Rate} = k[A][B] \] Where: - \( k \) is the rate constant, which is \( 1.25 \, \text{M}^{-1}\text{s}^{-1} \) in this problem. - \([A]\) and \([B]\) are the concentrations of the reactants. **Step 2: Plug in the Given Values** Given: \[ [A] = 0.301 \, \text{M} \] \[ [B] = 0.280 \, \text{M} \] \[ k = 1.25 \, \text{M}^{-1}\text{s}^{-1} \] The rate is: \[ \text{Rate} = (1.25 \, \text{M}^{-1}\text{s}^{-1})(0.301 \, \text{M})(0.280 \, \text{M}) \] **Step 3: Perform the Calculation** \[ \text{Rate} = 1.25 \times 0.301 \times 0.280 \] \[ \text{Rate} = 0.10535 \, \text{M/s} \] **Answer:** The rate of the reaction is \( 0.10535 \, \text{M/s} \). **Interactive Elements:** The screenshot includes a numeric keypad for entering the calculated rate, with buttons for each digit (1-9, 0), a decimal point ".", a plus/minus sign "+/-", a backspace "←", a clear "C" button, and an exponential notation button "x 10". This educational example guides students step-by-step through the process of calculating reaction rates using the given rate law and demonstrates where to input their final answer.
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Transcribed Image Text:**Rate Law Calculation Example** **Question 19 of 36:** *A reaction has a rate law of Rate = (1.25 M⁻¹s⁻¹)[A][B]. What is the rate of the reaction if [A] = 0.301 M and [B] = 0.280 M?* **Calculation:** **Step 1: Understand the Rate Law** The rate law is given by: \[ \text{Rate} = k[A][B] \] Where: - \( k \) is the rate constant, which is \( 1.25 \, \text{M}^{-1}\text{s}^{-1} \) in this problem. - \([A]\) and \([B]\) are the concentrations of the reactants. **Step 2: Plug in the Given Values** Given: \[ [A] = 0.301 \, \text{M} \] \[ [B] = 0.280 \, \text{M} \] \[ k = 1.25 \, \text{M}^{-1}\text{s}^{-1} \] The rate is: \[ \text{Rate} = (1.25 \, \text{M}^{-1}\text{s}^{-1})(0.301 \, \text{M})(0.280 \, \text{M}) \] **Step 3: Perform the Calculation** \[ \text{Rate} = 1.25 \times 0.301 \times 0.280 \] \[ \text{Rate} = 0.10535 \, \text{M/s} \] **Answer:** The rate of the reaction is \( 0.10535 \, \text{M/s} \). **Interactive Elements:** The screenshot includes a numeric keypad for entering the calculated rate, with buttons for each digit (1-9, 0), a decimal point ".", a plus/minus sign "+/-", a backspace "←", a clear "C" button, and an exponential notation button "x 10". This educational example guides students step-by-step through the process of calculating reaction rates using the given rate law and demonstrates where to input their final answer.
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