Practicing Success

Target Exam

CUET

Subject

Chemistry

Chapter

Physical: Chemical Kinetics

Question:

The rate constant for a reaction \(P\longrightarrow Q\) is \(0.8 × 10^{-3}\, \ mol L^{-1}s^{-1}\) If the concentration of \(P\) is \(10 M\), then the concentration of \(Q\) after \(40\) minutes is

Options:

\(1.92\, \ mol L^{-1}\)

\(1.46\, \ mol L^{-1}\)

\(1.23\, \ mol L^{-1}\)

\(0.24\, \ mol L^{-1}\)

Correct Answer:

\(1.92\, \ mol L^{-1}\)

Explanation:

The correct answer is option 1. \(1.92\, \ mol L^{-1}\).

The given reaction is \(P \longrightarrow Q\)

Given,

Rate constant,  \(k = 0.8 × 10^{-3}\, \ mol L^{-1}s^{-1}\)

From the unit of rate constant, it is clear that the reaction is a zero order reaction.

Hence, concentration of \(Q\) after \(40\, \ min\) \(= kT\)

or, concentration of \(Q\) after \(40\, \ min\) \(= 0.8 × 10^{-3} × 40 × 60 = 1.92\, \ mol L^{-1}\)