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Half life of a chemical reaction at a particular concentration is 75 min. When the concentration of the reactant is doubled, the half life becomes 150 min. What is the order of reaction?
  • a)
    First order
  • b)
    Zero order
  • c)
    Second order
  • d)
    Third order
Correct answer is option 'B'. Can you explain this answer?
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Half life of a chemical reaction at a particular concentration is 75 ...
Given, half-life of a chemical reaction at a particular concentration = 75 min.
When the concentration of the reactant is doubled, the half-life becomes 150 min.

Let's assume the initial concentration of the reactant to be [A]₀ and its half-life to be t₁/₂.

We know that for a first-order reaction, the half-life is independent of the initial concentration of the reactant.
But, for a zero-order reaction, the half-life is directly proportional to the initial concentration of the reactant.

Let's find out the initial rate constant (k) for the given reaction using the formula:

t₁/₂ = 0.693/k

At initial concentration [A]₀,

t₁/₂ = 75 min, so k₁ = 0.693/75

Now, when the concentration of the reactant is doubled, the new concentration is 2[A]₀.
And, the new half-life (t₂/₂) = 150 min.

Using the same formula,

t₂/₂ = 0.693/k₂

Substituting the values,

150 = 0.693/k₂

k₂ = 0.693/150

We know that for a zero-order reaction, the rate of the reaction is directly proportional to the concentration of the reactant.

So, if the initial concentration is doubled, the rate of the reaction will also get doubled.

Hence, the order of the reaction is zero-order.

Therefore, option B is the correct answer.
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Community Answer
Half life of a chemical reaction at a particular concentration is 75 ...
⇒ 2-1 = 2n-1
-1 = n - 1
⇒ n = 0
So it is zero order reaction.
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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.

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Half life of a chemical reaction at a particular concentration is 75 min. When the concentration of the reactant is doubled, the half life becomes 150 min. What is the order of reaction?a)First orderb)Zero orderc)Second orderd)Third orderCorrect answer is option 'B'. Can you explain this answer?
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