Write the unit of the rate constant for the following reactions:
$1.$ $\frac{1}{2}$ order
$2.$ $\frac{3}{2}$ order
$1.$ $\frac{1}{2}$ order
$2.$ $\frac{3}{2}$ order
The general formula for the unit of the rate constant $k$ for a reaction of order $n$ is given by:
Unit $= (mol \ L^{-1})^{1-n} \ s^{-1}$
$1.$ For a reaction of order $n = \frac{1}{2}$:
Unit $= (mol \ L^{-1})^{1 - 1/2} \ s^{-1} = (mol \ L^{-1})^{1/2} \ s^{-1} = mol^{1/2} \ L^{-1/2} \ s^{-1}$
$2.$ For a reaction of order $n = \frac{3}{2}$:
Unit $= (mol \ L^{-1})^{1 - 3/2} \ s^{-1} = (mol \ L^{-1})^{-1/2} \ s^{-1} = mol^{-1/2} \ L^{1/2} \ s^{-1}$
Unit $= (mol \ L^{-1})^{1-n} \ s^{-1}$
$1.$ For a reaction of order $n = \frac{1}{2}$:
Unit $= (mol \ L^{-1})^{1 - 1/2} \ s^{-1} = (mol \ L^{-1})^{1/2} \ s^{-1} = mol^{1/2} \ L^{-1/2} \ s^{-1}$
$2.$ For a reaction of order $n = \frac{3}{2}$:
Unit $= (mol \ L^{-1})^{1 - 3/2} \ s^{-1} = (mol \ L^{-1})^{-1/2} \ s^{-1} = mol^{-1/2} \ L^{1/2} \ s^{-1}$
Explore More
Similar Questions
The following data was obtained for the chemical reaction given below at $975 \ K$: $2 NO_{(g)} + 2 H_{2(g)} \rightarrow N_{2(g)} + 2 H_{2}O_{(g)}$
Experiment $[NO] \ (mol \ L^{-1})$ $[H_{2}] \ (mol \ L^{-1})$ Rate $(mol \ L^{-1} \ s^{-1})$ $1$ $8 \times 10^{-5}$ $8 \times 10^{-5}$ $7 \times 10^{-9}$ $2$ $24 \times 10^{-5}$ $8 \times 10^{-5}$ $2.1 \times 10^{-8}$ $3$ $24 \times 10^{-5}$ $32 \times 10^{-5}$ $8.4 \times 10^{-8}$
The order of the reaction with respect to $NO$ is ..... .
| Experiment | $[NO] \ (mol \ L^{-1})$ | $[H_{2}] \ (mol \ L^{-1})$ | Rate $(mol \ L^{-1} \ s^{-1})$ |
| $1$ | $8 \times 10^{-5}$ | $8 \times 10^{-5}$ | $7 \times 10^{-9}$ |
| $2$ | $24 \times 10^{-5}$ | $8 \times 10^{-5}$ | $2.1 \times 10^{-8}$ |
| $3$ | $24 \times 10^{-5}$ | $32 \times 10^{-5}$ | $8.4 \times 10^{-8}$ |
Which of the following statements is true regarding the order of a reaction?
Medium
View SolutionThe rate law of the reaction $A + 2B \to \text{Product}$ is given by $\frac{d[B]}{dt} = k[B^2]$. If $A$ is taken in excess,the order of the reaction will be
Medium
View SolutionThe rate constant of which of the following reactions is independent of the concentration of the reactants?
Medium
View SolutionReaction: $KClO_3 + 6FeSO_4 + 3H_2SO_4 \to KCl + 3Fe_2(SO_4)_3 + 3H_2O$
Which is True $(T)$ and False $(F)$ in the following statement?
The order of this reaction is $1$.
Which is True $(T)$ and False $(F)$ in the following statement?
The order of this reaction is $1$.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo