A substance 'A' decomposes by a first order reaction starting initially with [A]=2.00 m and after 200 min,[ A] becomes 0.15 m. For this reaction t1/2 is53.72 min50.49 min48.45 min46.45 min
Question
A substance 'A' decomposes by a first order reaction starting initially with [A]=2.00 m and after 200 min,[ A] becomes 0.15 m. For this reaction t1/2 is53.72 min50.49 min48.45 min46.45 min
Solution
The half-life (t1/2) of a first order reaction can be calculated using the formula:
t1/2 = 0.693/k
where k is the rate constant. The rate constant can be calculated using the formula for a first order reaction:
ln([A]0/[A]) = kt
where [A]0 is the initial concentration, [A] is the final concentration, and t is the time.
Let's plug in the given values:
ln(2.00/0.15) = k * 200 min
Solving for k gives:
k = ln(2.00/0.15) / 200 min = 0.013 min^-1
Now we can calculate t1/2:
t1/2 = 0.693/0.013 min^-1 = 53.31 min
The closest answer to this is 53.72 min. So, the half-life of the reaction is approximately 53.72 min.
Similar Questions
In 1 st order reaction 60% of reactant decomposes in 4.606 min then what is t1/2
Time required for completion of 99.9% of a First order reaction is ________ times of half life (t1/2) of the reaction.
The active ingredient in an aqueous preparation has an initial concentration of 6.2*10-3 g/mL. After 4 months the concentration was determined by analysis to be 5 *10-3 g/mL. The product is known to be ineffective after it has decomposed to 50% of its original concentration. Assuming the decomposition follows first order kinetics, calculate how long it will take to reach 50% of the original concentration. Answer in months log C = log C0 - (k1/2.303 )* t t1/2 = 0.693/k
In 30 minutes, a first-order reaction is 50% complete. The time required to complete 87.5 percent of the reaction is ____________________*30 minutes60 minutes90 minutes120 minutes
Half-life period of a first-order reaction is 10 minutes. Starting with 10 mol L−1, rate after 20 minutes will be
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.