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Half life period of 2nd order reaction is
  • a)
    proportional to initial concentration of reactants
  • b)
    independent of initial concentration of reactants
  • c)
    inversely proportional to initial concentration of reactants
  • d)
    inversely proportional to square of initial concentration of reactants
Correct answer is option 'C'. Can you explain this answer?
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The half-life period of a second-order reaction is inversely proportional to the initial concentration of reactants. This means that as the initial concentration of reactants increases, the half-life period decreases.

Explanation:

A second-order reaction is one in which the rate of reaction is proportional to the square of the concentration of the reactants. It can be represented by the following generic equation:

A + B → Products

The rate equation for a second-order reaction is given by:

Rate = k[A][B]

Where [A] and [B] are the concentrations of reactants A and B, and k is the rate constant.

The half-life period of a reaction is the time it takes for the concentration of a reactant to decrease to half of its initial value. In the case of a second-order reaction, the half-life period can be calculated using the integrated rate equation:

t1/2 = 1 / (k[A]0[B]0)

Where t1/2 is the half-life period, [A]0 and [B]0 are the initial concentrations of reactants A and B, and k is the rate constant.

From the equation, we can see that the half-life period is inversely proportional to the product of the initial concentrations of reactants [A]0 and [B]0. This means that as the initial concentration of reactants increases, the denominator of the equation becomes larger, resulting in a smaller value for the half-life period. Conversely, as the initial concentration of reactants decreases, the denominator becomes smaller, resulting in a larger value for the half-life period.

Therefore, the correct answer is option 'C' - the half-life period of a second-order reaction is inversely proportional to the initial concentration of reactants.
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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: The unit of k is independent of order of reaction.Reason: The unit of k is moles L–1s–1.

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 period of 2nd order reaction isa)proportional to initial concentration of reactantsb)independent of initial concentration of reactantsc)inversely proportional to initial concentration of reactantsd)inversely proportional to square of initial concentration of reactantsCorrect answer is option 'C'. Can you explain this answer?
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