Chemistry · Differential and integral forms of zero and first-order reactions, their characteristics and half-lives
In a first order reaction, the concentration of reactant is reduced to of the in
In a first order reaction, the concentration of reactant is reduced to \( 1 / 8 \) of the initial concentration in 75 minutes at \( 298 K . \) What is the half-life period of the reaction in minutes?
- A. 50 min
- B. 15 min
- C. 30 \) min
- D. 25 min
Step-by-step solution
For a first order reaction, ln([A]₀/[A]) = kt. Given [A] = (1/8)[A]₀, ln(8) = 3 ln2 = k * 75 min, so k = (3 ln2)/75 = (ln2)/25. Half-life t₁/₂ = ln2/k = 25 min.
Related MCQs
- of a first order reaction was completed in 70 min. How much it will take for completion of a reaction?…
- The rate constant of a first order reaction is 0.0693 min Time (in minutes) required for reducing an initial concentration of 20 mol to 2.5 …
- Which of the following statements is not true?…
- A reaction of first - order completed in 90 minutes, hence, it is completed in approximately:…
- Assertion For the reaction \rightarrow \) ROH Na , the rate of reaction is reduced to half on reducing the concentration of RCl to half. Rea…