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Read the passage given below and answer the following questions:
Concentration dependence of rate is called differential rate equation. Integrated differential equations give relation between directly measured experimental data i.e. concentration at different times and rate constant. The integrated rate equations are different for the reactions of different reaction orders. The first-order reaction has a rate constant 1.15 × 10–3s–1.
The following questions are multiple choice questions. Choose the most appropriate answer:
Q. How long will 5g of this reactant take to reduce to 3g?
  • a)
    222.189 s
  • b)
    444.379 s
  • c)
    111.095 s
  • d)
    888.789 s
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Read the passage given below and answer the following questions:Conce...
Initial amount = 5 g
Final concentration = 3 g
Rate constant= 1.15 × 10–3 s–1
We know that for a First order reaction
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Most Upvoted Answer
Read the passage given below and answer the following questions:Conce...
Answer:
To find the time required for the reactant to reduce from 5g to 3g, we need to use the first-order rate constant and the integrated rate equation for a first-order reaction.

Integrated Rate Equation for First-Order Reaction:
The integrated rate equation for a first-order reaction is given by:

ln([A]t/[A]0) = -kt

Where [A]t is the concentration of the reactant at time t, [A]0 is the initial concentration of the reactant, k is the rate constant, and t is the time.

Given Data:
Initial concentration [A]0 = 5g
Final concentration [A]t = 3g
Rate constant k = 1.15 × 10^(-3) s^(-1)

Calculations:
Let's substitute the given values into the integrated rate equation:

ln(3/5) = -(1.15 × 10^(-3))t

Now, let's solve for t:

ln(3/5) = -(1.15 × 10^(-3))t

Taking the natural logarithm of both sides:

ln(3/5) = ln(e^(-(1.15 × 10^(-3))t))

Using the property of logarithms:

ln(3/5) = -(1.15 × 10^(-3))t

Now, let's solve for t:

t = ln(3/5) / -(1.15 × 10^(-3))

Plugging in the values and calculating:

t ≈ 444.379 seconds

Therefore, it will take approximately 444.379 seconds for 5g of the reactant to reduce to 3g.

Conclusion:
The correct answer is option 'B' (444.379 s).
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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: Reactions can occur at different speeds.Reason: Rate of reaction is also called speed of reaction.

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Read the passage given below and answer the following questions:Concentration dependence of rate is called differential rate equation. Integrated differential equations give relation between directly measured experimental data i.e. concentration at different times and rate constant. The integrated rate equations are different for the reactions of different reaction orders. The first-order reaction has a rate constant 1.15 × 10–3s–1.The following questions are multiple choice questions. Choose the most appropriate answer:Q. How long will 5g of this reactant take to reduce to 3g?a)222.189 sb)444.379 sc)111.095 sd)888.789 sCorrect answer is option 'B'. Can you explain this answer?
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Read the passage given below and answer the following questions:Concentration dependence of rate is called differential rate equation. Integrated differential equations give relation between directly measured experimental data i.e. concentration at different times and rate constant. The integrated rate equations are different for the reactions of different reaction orders. The first-order reaction has a rate constant 1.15 × 10–3s–1.The following questions are multiple choice questions. Choose the most appropriate answer:Q. How long will 5g of this reactant take to reduce to 3g?a)222.189 sb)444.379 sc)111.095 sd)888.789 sCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Read the passage given below and answer the following questions:Concentration dependence of rate is called differential rate equation. Integrated differential equations give relation between directly measured experimental data i.e. concentration at different times and rate constant. The integrated rate equations are different for the reactions of different reaction orders. The first-order reaction has a rate constant 1.15 × 10–3s–1.The following questions are multiple choice questions. Choose the most appropriate answer:Q. How long will 5g of this reactant take to reduce to 3g?a)222.189 sb)444.379 sc)111.095 sd)888.789 sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the passage given below and answer the following questions:Concentration dependence of rate is called differential rate equation. Integrated differential equations give relation between directly measured experimental data i.e. concentration at different times and rate constant. The integrated rate equations are different for the reactions of different reaction orders. The first-order reaction has a rate constant 1.15 × 10–3s–1.The following questions are multiple choice questions. Choose the most appropriate answer:Q. How long will 5g of this reactant take to reduce to 3g?a)222.189 sb)444.379 sc)111.095 sd)888.789 sCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Read the passage given below and answer the following questions:Concentration dependence of rate is called differential rate equation. Integrated differential equations give relation between directly measured experimental data i.e. concentration at different times and rate constant. The integrated rate equations are different for the reactions of different reaction orders. The first-order reaction has a rate constant 1.15 × 10–3s–1.The following questions are multiple choice questions. Choose the most appropriate answer:Q. How long will 5g of this reactant take to reduce to 3g?a)222.189 sb)444.379 sc)111.095 sd)888.789 sCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
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