Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER 2019
Exam
JIPMER
Year
2019
Subject
Chemistry
Chapter
Chemical Kinetics

JIPMER 2019 · Chemistry · Chemical Kinetics

If half-life of a substance is 36 minutes. Find amount left after 2...

If half-life of a substance is 36 minutes. Find amount left after 2 hrs . Initial amount is 10 gm ?

Options

  1. A1 g
  2. B2 g
  3. C3 g
  4. D4 g

Correct answer

A. 1 g

Step-by-step solution

Given, t1/2=36min,t=2hrs=120min,[Ao]=log⁡\mathrm{t}_{1/2}=36 \mathrm{ min}, \mathrm{t}=2 \mathrm{hrs}=120 \mathrm{ min},[\mathrm{Ao}]=\log For first order reaction, R=0.693t1/2\mathrm{R}=\frac{0.693}{\mathrm{t}_{1/2}}∴k=0.69336=0.01925t=2303klog⁡[A0][A]\begin{aligned} \therefore \quad k & =\frac{0.693}{36}=0.01925 \\ t & =\frac{2303}{k} \log \frac{\left[\mathrm{A}_0\right]}{[\mathrm{A}]} \end{aligned}where, $\left[\mathrm{A}_0\right]=$ initial amount\begin{aligned} & {[\mathrm{A}]=\text{ final amount } } \\ & 120=\frac{2303}{0.01925} \log \frac{10}{[\mathrm{ A}]} \\ & \log 10-\log [\mathrm{A}]=1 \\ & 1-\log [\mathrm{A}]=1 \\ & \log [\mathrm{A}]=0 \\ & {[\mathrm{ A}] }=1 \mathrm{gm} \end{aligned}$$
Practice Chemical Kinetics on Quantrex Academy →

More from Chemical Kinetics

The combination of NO_2(g) and CO(g) occurs in two steps as follows: What is the rate law… MHT CET Medical 2026The slope of the graph [A]_t against time for zero order reaction is MHT CET Medical 2026For the reaction C_2H_5Br_ (l) arrow C_2H_ 4(g) + HBr , r = K(C_2H_5Br) What is order and… MHT CET Medical 2026The decomposition of N_2O_ 5(g) occurs as: 2\ N_2O_ 5(g) arrow 4\ NO_ 2(g) + O_ 2(g) . If… MHT CET Medical 2026Which of the following statements represents rate of reaction? MHT CET Medical 2026What is the order of reaction for the following? 2H_2O_2(l) arrow 2H_2O(l) + O_2(g) MHT CET Medical 20262A k B is a zero-order reaction, where k=1.0 mol L ^ -1 min ^ -1 . If the initial… NEET 2026Match List I with List II : List I (Order of reaction) List II (Unit of rate constant) A.… NEET 2026 Full Chemical Kinetics list All JIPMER PYQs