In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration are and (s), respectively. The ratio will be:

Question

In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration are  and  (s), respectively. The ratio  will be:

Canvas Classes · Accepted Answer

Step 1: Apply first order integrated rate law

For a first order reaction:

Step 2: Calculate  (concentration falls to  of initial)

Step 3: Calculate  (concentration falls to  of initial)

Step 4: Find the ratio

Key Points to Remember:
- For first order: 
- Time to reach  of initial = 
- Time to reach  of initial =

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