Chemistry · Differential and integral forms of zero and first-order reactions, their characteristics and half-lives
For a reaction } \rightarrow \boldsymbol{B}_{(g)}+\boldsymbol{C}_{(g)}, \) the r
For a reaction \( \boldsymbol{A}_{(g)} \rightarrow \boldsymbol{B}_{(g)}+\boldsymbol{C}_{(g)}, \) the rate constant for the reaction is \( 3 x \) \( 10^{-3} M^{-} \) min \( ^{-1} . \) At what concentration of \( A \) will at the rate of reaction be \( 2 x \) \( 10^{-3} \mathrm{M} \mathrm{min} \)
- A. 1 м
- B. 0.52 М
- C. 0.82 М
- D. \( \frac{2}{3} \) N
Step-by-step solution
The rate constant units (M^{-1} min^{-1}) indicate second-order kinetics, so rate = k[A]^2. Given rate = 2×10^{-3} M min^{-1} and k = 3×10^{-3} M^{-1} min^{-1}, solving [A] = √(rate/k) = √((2×10^{-3})/(3×10^{-3})) = √(2/3) ≈ 0.8165 M, which rounds to 0.82 M.
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…