Integrated Rate Law for Zero and First Order Reactions

IMPORTANT

Integrated Rate Law for Zero and First Order Reactions: Overview

This topic covers concepts, such as Zero Order Reactions, Integrated Rate Equation for Zero Order Reactions, Time-Concentration Graph for Zero Order Reactions, First Order Reactions, and Integrated Rate Equation for First Order Reactions.

Important Questions on Integrated Rate Law for Zero and First Order Reactions

HARD
IMPORTANT

A first order reaction is 20% complete in 5 minute. Calculate the time taken for the reaction to be 60% complete:

log 2.5=0.3979, log 1.25=0.0969

MEDIUM
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The half-life for decay of radioactive C14 is 5730 years. An archaeological artifact containing wood has only 80% of the C14 activity as found in living trees. The age of the artifact would be:
[Given: log 1.25 = 0.0969]

MEDIUM
IMPORTANT

In a first-order reaction, the concentration of reactant decreases from  800  mol/dm  3  to 50  mol/dm  3  in 2 × 102 s. The rate constant of reaction in s-1 is

MEDIUM
IMPORTANT

Decomposition of HIg on Gold surface is zero order reaction. Initially few moles of H2 are present in container then which of the following graph is correct?

HARD
IMPORTANT

For a reaction Akr=0.6M min-12B starting with 1M of A only. Then calculate the concentration of Bin M after 100 sec  and 200 sec respectively are

HARD
IMPORTANT

For the reaction A+B products, the following initial rates were obtained at various given initial concentrations. Determine the half-life period.

 S.No[A ]molL-1[B] molL-1 Initialrate Ms-1  10.10.10.052.0.20.10.103.0.10.20.05

HARD
IMPORTANT

Select the correct statements out of I, II and III for a zero order reaction:

I. Quantity of the product formed is directly proportional to time.

III. If 50% reaction takes place in 100 minutes, 75% reaction will take place in 150 minutes.

III.Larger the initial concentration of the reactant, greater is the half-life period.

HARD
IMPORTANT

In a reaction, the initial concentration of the reactants increases fourfold and the rate becomes eight times its initial value. The order of the reaction is -

EASY
IMPORTANT

The half-life of a radioisotope is 6.93 hours. If initial mass of the isotope is 200 g, the mass (in g) of the remaining undecayed isotope after 46.06 hours is

MEDIUM
IMPORTANT

The rate-constant of a reaction is 3.5×10-12s-1. The half-life of this reaction (in s) is

MEDIUM
IMPORTANT

Select the correct statement for a first-order reaction from the following.

EASY
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The rate constant for the first-order reaction is 60 s-1. How much time will it take to reduce the concentration of the reactant to 1/16 of initial value?

EASY
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If 50 % of a reaction occurs in 100 second and 75 % of the reaction occurs in 200 second, the order of this reaction is:

EASY
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Which of the following curve represent zero order reaction of A  products?

EASY
IMPORTANT

The inactivation of a viral preparation in a chemical bath is found to be a first order reaction. Calculate the rate constant for the viral inactivation if in the beginning 1.5 % of the virus is inactivated per minute.

  ( Given:ln 100 98.5 =0.01511 )

HARD
IMPORTANT

Two first-order reactions have half times in the ratio of 8 : 1. The ratio of time intervals t1:t2 is:

Here, the time t1 and t2 are time period for 14th and 34th completion.

MEDIUM
IMPORTANT

Which of the following equations represent integrated rate equation of zero order reaction?

HARD
IMPORTANT

Which of the following is incorrect?

EASY
IMPORTANT

For a zero-order reaction, with the initial reactant concentration a, the time for completion of the reaction is:

MEDIUM
IMPORTANT

Question Image

The accompanying figure depicts the change in concentration of species X and Y for the elementary reaction XY as a function of time. The point of intersection of two curves represents: