### Reaction Rate Calculation**Reaction:**\[ A + 2B \rightarrow C + 2D \]**Given:**- The reaction is first order in [A] and second order in [B].- Initial concentrations: 0.30 moles of A and 0.30 moles of B.- Volume of container: 1.00 L.- Temperature: 25 °C.- Rate of formation of C: \( 1.8 \times 10^{-4} \) moles per second.**Task:**Determine the rate constant, \( k \), at 25 °C.### Calculation:1. **Determine the Concentrations:** - \([A] = \frac{0.30 \text{ moles}}{1.00 \text{ L}} = 0.30 \text{ M}\) - \([B] = \frac{0.30 \text{ moles}}{1.00 \text{ L}} = 0.30 \text{ M}\)2. **Rate Law:**Since the reaction is first order in [A] and second order in [B], the rate law can be expressed as:\[ \text{Rate} = k [A][B]^2 \]3. **Plug in the Given Values:** - Rate: \( 1.8 \times 10^{-4} \) M/s - \([A] = 0.30 \text{ M}\) - \([B] = 0.30 \text{ M}\)\[ 1.8 \times 10^{-4} = k (0.30)(0.30)^2 \]4. **Solve for \( k \):**\[ k = \frac{1.8 \times 10^{-4}}{(0.30)(0.09)} \]\[ k = \frac{1.8 \times 10^{-4}}{0.027} \]\[ k = 6.67 \times 10^{-3} \]### Answer:- Enter the magnitude of \( k \): **\[ 6.67 \times 10^{-3} \]**Please ensure not to include units in the answer text box. The rate constant, \( k \), is calculated based on the provided reaction conditions at 25 °C.

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A + 2B C + 2D →>> The reaction is known to be first order in [A] and second order in [B]. When 0.30 moles A and 0.30 moles of B are placed in a 1.00 L container at 25 °C, 1.8 x 10-4 moles of C are formed per second with no change in volume. What is the rate constant at 25 °C? k = [?] Do not include units in your answer. Magnitude of k Enter

A + 2B C + 2D →>> The reaction is known to be first order in [A] and second order in [B]. When 0.30 moles A and 0.30 moles of B are placed in a 1.00 L container at 25 °C, 1.8 x 10-4 moles of C are formed per second with no change in volume. What is the rate constant at 25 °C? k = [?] Do not include units in your answer. Magnitude of k Enter

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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