All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
NEET Exam  >  NEET Questions  >  At particular concentration, the half life of... Start Learning for Free
SaveJoin the Discussion on the App
At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3?
Clear all your NEET doubts with EduRev
Most Upvoted Answer
At particular concentration, the half life of the reaction is 100 minu...
Solution


Given

Concentration = C

Half-life = 100 min

Concentration doubled = 2C

New half-life = 25 min

Formula

The formula for calculating the half-life of a reaction is as follows:

t1/2 = (0.693/k)

where,

t1/2 = Half-life of the reaction

k = Rate constant of the reaction

Explanation

Let's assume that the order of the reaction is 'n'. Therefore, the rate equation for the reaction can be written as:

Rate = k[C]n

Substituting the given values, we get the following equations:

For the first case,

t1/2 = 100 min

Rate = k[C]n

Substituting t1/2 in the formula, we get:

100 = (0.693/k)[C]-n

Taking the natural logarithm on both sides, we get:

ln(100) = ln(0.693/k) - nln[C]

ln(100) - ln(0.693/k) = -nln[C]

ln(100/0.693) = nln[C]

n = ln(100/0.693)/ln[C] - - - - (1)

For the second case,

t1/2 = 25 min

Rate = k[2C]n

Substituting t1/2 in the formula, we get:

25 = (0.693/k)[2C]-n

Simplifying the equation, we get:

ln(2) + ln(25) = ln(0.693/k) - nln[2C]

ln(50/0.693) = nln[2C] - ln(0.693/k)

n = ln(50/0.693)/(ln[2C]) - - - - (2)

Dividing equation (2) by equation (1), we get:

n/n = ln(50/0.693)ln[C]/ln(100/0.693)ln[2C]

Simplifying the equation, we get:

ln(2) = ln[C]/ln[2C]

2ln(2) = ln[C] - ln[2C]

ln[C] = 2ln(2) + ln[2C]

ln[C] = ln(22) + ln(21C)

ln[C] = ln(4) + ln(C)

ln[C] - ln(C) = ln(4)
Community Answer
At particular concentration, the half life of the reaction is 100 minu...
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Similar NEET Doubts

Read the passage given below and answer the following questions:The rate of a reaction, which may also be called its velocity or speed, can be defined with relation to the concentration of any of the reacting substances, or to that of any product of the reaction. If the species chosen is a reactant which has a concentration c at time t the rate is - dc/dt, while the rate with reference to a product having a concentration x at time t is dx/dt. Any concentration units may be used for expressing the rate; thus, if moles per liter are employed for concentration and seconds for the time, the units for the rate are moles litre–1sec–1. For gas reactions pressure units are sometimes used in place of concentrations, so that legitimate units for the rate would be (mm. Hg) sec–1 and atm. sec–1 The order of a reaction concerns the dependence of the rate upon the concentrations of reacting substances; thus, if the rate is found experimentally to be proportional to the ath power of the concentration of one of the reactants A, to the both power of the concentration of a second reactant B, and so forth, via., rate = k CAα CAβ the over-all order of the reaction is simply n = α + β + ----- (2) Such a reaction is said to be of the αth order with respect to the substance A, the βth order with respect to B.In the following questions, a statement of Assertion followed by a statement of Reason is given. Choose the correct answer out of the following choices on the basis of the above passage.Assertion: Rate of reaction is a measure of change in concentration of reactant with respect to time.Reason: Rate of reaction is a measure of change in concentration of product with respect to time.

Top Courses for NEETView all

Top Courses for NEET

At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3?
Question Description
At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3?.
Solutions for At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3? defined & explained in the simplest way possible. Besides giving the explanation of At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3?, a detailed solution for At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3? has been provided alongside types of At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3? theory, EduRev gives you an ample number of questions to practice At particular concentration, the half life of the reaction is 100 minutes. When the concentration of the reactant doubled half life becomes 25 minutes, then what will be the order of the reaction A) 1 B) 2 C) 0 D) 3? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup