Using the data in the table, what is the average rate of the reaction? A+3 B 2C Time(s) [A] [B} [C] 0.100 0.200 0.00 30 0.050 0.050 0.100 5.00 x 10-2 M/s 1.67 x 103 M/s 5.00 x 10-3 M/s 3.33 x 10-3 M/s

Chemistry
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Chapter1: Chemical Foundations
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**Question 11**

Using the data in the table, what is the average rate of the reaction?

\( A + 3B \rightarrow 2C \)

| Time (s) | \([A]\) | \([B]\) | \([C]\) |
|----------|--------|--------|--------|
| 0        | 0.100  | 0.200  | 0.00   |
| 30       | 0.050  | —      | 0.100  |

**Options:**

- ○ \( 5.00 \times 10^{-2} \, \text{M/s} \)
- ○ \( 1.67 \times 10^{-3} \, \text{M/s} \)
- ○ \( 5.00 \times 10^{-3} \, \text{M/s} \)
- ○ \( 3.33 \times 10^{-3} \, \text{M/s} \)

### Explanation:

This question provides a table of concentrations over time for a chemical reaction. The table shows the initial and final concentrations of reactant \([A]\), and product \([C]\), at times 0 and 30 seconds. The question asks for the calculation of the average rate of this reaction using the concentration data provided.
Transcribed Image Text:**Question 11** Using the data in the table, what is the average rate of the reaction? \( A + 3B \rightarrow 2C \) | Time (s) | \([A]\) | \([B]\) | \([C]\) | |----------|--------|--------|--------| | 0 | 0.100 | 0.200 | 0.00 | | 30 | 0.050 | — | 0.100 | **Options:** - ○ \( 5.00 \times 10^{-2} \, \text{M/s} \) - ○ \( 1.67 \times 10^{-3} \, \text{M/s} \) - ○ \( 5.00 \times 10^{-3} \, \text{M/s} \) - ○ \( 3.33 \times 10^{-3} \, \text{M/s} \) ### Explanation: This question provides a table of concentrations over time for a chemical reaction. The table shows the initial and final concentrations of reactant \([A]\), and product \([C]\), at times 0 and 30 seconds. The question asks for the calculation of the average rate of this reaction using the concentration data provided.
Expert Solution
Step 1

Rate of reaction :- 

It is define as the decrease in concentration of reactants per time or increase in concentration of products for a time

For example :- 

For the general reaction 

R ----> P

Avg rate = -∆[R] / ∆t

∆[R] = [R2] - [R1] = decrease in concentration 

∆t = t2 - t1 = change in time 

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