Under certain conditions the rate of this reaction is zero order in ammonia with a rate constant of 0.0066 M-s¹: 2NH₂(g) → N₂(g) + 3H₂(g) Suppose a 450. mL flask is charged under these conditions with 150. mmol of ammonia. How much is left 10. s later? You may assume no other reaction is important. Be sure your answer has a unit symbol, if necessary, and round it to 2 significant digits. 0 olo

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Educational Content: Understanding Zero Order Reaction Kinetics**

Under specific conditions, the rate of a chemical reaction can be described as zero order in a particular reactant. This means that the rate of reaction is independent of the concentration of that reactant. An example of a zero-order reaction involving ammonia is shown below:

\[ 2 \text{NH}_3 \text{(g)} \rightarrow \text{N}_2 \text{(g)} + 3 \text{H}_2 \text{(g)} \]

In this case, the rate of the reaction is zero order in ammonia with a rate constant \( k \) of 0.0066 \( \text{M} \cdot \text{s}^{-1} \).

Suppose a 450 mL flask is initially charged with 150 mmol of ammonia. To determine how much ammonia remains after 10 seconds, follow these steps:

### Calculation:

1. **Convert the initial amount (mmol) to moles**:
   - \( 150 \text{ mmol} = 0.150 \text{ mol} \)

2. **Convert the volume from mL to L**:
   - \( 450 \text{ mL} = 0.450 \text{ L} \)

3. **Calculate the initial concentration of ammonia**:
   \[
   \text{Initial concentration} = \frac{\text{Amount of NH}_3}{\text{Volume}} = \frac{0.150 \text{ mol}}{0.450 \text{ L}} = 0.333 \text{ M}
   \]

4. **Use the zero-order kinetics equation**:
   \[
   [\text{NH}_3] = [\text{NH}_3]_0 - kt
   \]
   Where \( [\text{NH}_3]_0 \) is the initial concentration, \( k \) is the rate constant, and \( t \) is the time.

5. **Substitute the values into the equation**:
   \[
   [\text{NH}_3] = 0.333 \text{ M} - (0.0066 \text{ M} \cdot \text{s}^{-1})(10 \text{ s})
   \]

6. **Perform the calculation**:
   \[
   [\text{NH}_3] =
Transcribed Image Text:**Educational Content: Understanding Zero Order Reaction Kinetics** Under specific conditions, the rate of a chemical reaction can be described as zero order in a particular reactant. This means that the rate of reaction is independent of the concentration of that reactant. An example of a zero-order reaction involving ammonia is shown below: \[ 2 \text{NH}_3 \text{(g)} \rightarrow \text{N}_2 \text{(g)} + 3 \text{H}_2 \text{(g)} \] In this case, the rate of the reaction is zero order in ammonia with a rate constant \( k \) of 0.0066 \( \text{M} \cdot \text{s}^{-1} \). Suppose a 450 mL flask is initially charged with 150 mmol of ammonia. To determine how much ammonia remains after 10 seconds, follow these steps: ### Calculation: 1. **Convert the initial amount (mmol) to moles**: - \( 150 \text{ mmol} = 0.150 \text{ mol} \) 2. **Convert the volume from mL to L**: - \( 450 \text{ mL} = 0.450 \text{ L} \) 3. **Calculate the initial concentration of ammonia**: \[ \text{Initial concentration} = \frac{\text{Amount of NH}_3}{\text{Volume}} = \frac{0.150 \text{ mol}}{0.450 \text{ L}} = 0.333 \text{ M} \] 4. **Use the zero-order kinetics equation**: \[ [\text{NH}_3] = [\text{NH}_3]_0 - kt \] Where \( [\text{NH}_3]_0 \) is the initial concentration, \( k \) is the rate constant, and \( t \) is the time. 5. **Substitute the values into the equation**: \[ [\text{NH}_3] = 0.333 \text{ M} - (0.0066 \text{ M} \cdot \text{s}^{-1})(10 \text{ s}) \] 6. **Perform the calculation**: \[ [\text{NH}_3] =
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