50 % of a zero order reaction completes in 10 minutes .100 % of the same reaction shall complete in

Options

A. 5 min
B. 10 min
C. 20 min
D. `oo` time

Answer

To solve the problem, we need to determine the time it takes for 100% completion of a zero-order reaction, given that 50% of the reaction is completed in 10 minutes.

### Step-by-Step Solution:

1. **Understanding Zero-Order Reactions**: In a zero-order reaction, the rate of reaction is constant. This means that a fixed amount of reactant is consumed in equal time intervals.

2. **Given Information**: We know that 50% of the reaction is completed in 10 minutes. This means that the time taken to go from 100% to 50% concentration (i.e., half of the initial concentration) is 10 minutes.

3. **Calculating Time for 100% Completion**: Since the reaction is zero-order, the time taken to go from 50% to 0% (i.e., 100% completion) will be the same as the time taken to go from 100% to 50%. Therefore, if it takes 10 minutes to go from 100% to 50%, it will also take another 10 minutes to go from 50% to 0%.

4. **Total Time Calculation**:
- Time to go from 100% to 50% = 10 minutes
- Time to go from 50% to 0% = 10 minutes
- Total time for 100% completion = 10 minutes + 10 minutes = 20 minutes

5. **Final Answer**: Thus, the total time for 100% of the reaction to complete is **20 minutes**.