Integrated Rate Equations
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CHXII04:CHEMICAL KINETICS

320369 Which of the following represents integrated rate law equation for gas phase first order reaction, \(\mathrm{A}_{(\mathrm{g})} \rightarrow \mathrm{B}_{(\mathrm{g})}+\mathrm{C}_{(\mathrm{g})}\)
if \(\mathrm{P}_{\mathrm{i}}=\) Initial pressure of \(\mathrm{A}\) \(\mathrm{P}=\) Total pressure of reaction mixture at time?

1 \(\mathrm{k}=2.303 \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}}{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}\)
2 \(\mathrm{k}=\dfrac{2.303}{\mathrm{t}} \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}}{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}\)
3 \(\mathrm{k}=\dfrac{1}{\mathrm{t}} \ln \dfrac{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}{\mathrm{P}_{\mathrm{i}}}\)
4 \(\mathrm{k}=\dfrac{2.303}{\mathrm{t}} \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}-\mathrm{P}}{\mathrm{P}_{\mathrm{i}}}\)
MHTCET - 2021
CHXII04:CHEMICAL KINETICS

320370 What is rate constant of a first order reaction if 0.08 mole of reactant reduces to 0.02 mole in 23.03 minute?

1 \(0.2303 \mathrm{~min}^{-1}\)
2 \(1.6021 \mathrm{~min}^{-1}\)
3 \(0.4031 \mathrm{~min}^{-1}\)
4 \(0.06021 \mathrm{~min}^{-1}\)
MHTCET - 2021
CHXII04:CHEMICAL KINETICS

320371 The integrated rate equation for first order reaction, \(\mathrm{A} \rightarrow\) product, is

1 \({\rm{k = }}\frac{{\rm{1}}}{{\rm{t}}}{\rm{In}}\frac{{{{{\rm{[A]}}}_{\rm{t}}}}}{{{{{\rm{[A]}}}_{\rm{0}}}}}\)
2 \({\rm{k = }}\frac{{{\rm{2303}}}}{{\rm{t}}}{\rm{ + lo}}{{\rm{g}}_{{\rm{10}}}}\frac{{{{{\rm{[A]}}}_{\rm{0}}}}}{{{{{\rm{[\;A]}}}_{\rm{t}}}}}\)
3 \({\rm{k = - }}\frac{{\rm{1}}}{{\rm{t}}}{\rm{In}}\frac{{{{{\rm{[A]}}}_{\rm{t}}}}}{{{{{\rm{[A]}}}_{\rm{0}}}}}\)
4 \({\rm{k = 2303}}\,{\rm{t}}\,{\rm{lo}}{{\rm{g}}_{{\rm{10}}}}\frac{{{{{\rm{[A]}}}_{\rm{0}}}}}{{{{{\rm{[}}\;{\rm{A]}}}_{\rm{t}}}}}\)
CHXII04:CHEMICAL KINETICS

320372 Assertion :
Hydrolysis of ethyl acetate in presence of acid is a reaction of first order whereas in presence of alkali, it is a reaction of second order.
Reason :
Acid only acts as a catalyst whereas alkali acts as one of the reactants.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
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CHXII04:CHEMICAL KINETICS

320369 Which of the following represents integrated rate law equation for gas phase first order reaction, \(\mathrm{A}_{(\mathrm{g})} \rightarrow \mathrm{B}_{(\mathrm{g})}+\mathrm{C}_{(\mathrm{g})}\)
if \(\mathrm{P}_{\mathrm{i}}=\) Initial pressure of \(\mathrm{A}\) \(\mathrm{P}=\) Total pressure of reaction mixture at time?

1 \(\mathrm{k}=2.303 \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}}{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}\)
2 \(\mathrm{k}=\dfrac{2.303}{\mathrm{t}} \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}}{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}\)
3 \(\mathrm{k}=\dfrac{1}{\mathrm{t}} \ln \dfrac{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}{\mathrm{P}_{\mathrm{i}}}\)
4 \(\mathrm{k}=\dfrac{2.303}{\mathrm{t}} \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}-\mathrm{P}}{\mathrm{P}_{\mathrm{i}}}\)
MHTCET - 2021
CHXII04:CHEMICAL KINETICS

320370 What is rate constant of a first order reaction if 0.08 mole of reactant reduces to 0.02 mole in 23.03 minute?

1 \(0.2303 \mathrm{~min}^{-1}\)
2 \(1.6021 \mathrm{~min}^{-1}\)
3 \(0.4031 \mathrm{~min}^{-1}\)
4 \(0.06021 \mathrm{~min}^{-1}\)
MHTCET - 2021
CHXII04:CHEMICAL KINETICS

320371 The integrated rate equation for first order reaction, \(\mathrm{A} \rightarrow\) product, is

1 \({\rm{k = }}\frac{{\rm{1}}}{{\rm{t}}}{\rm{In}}\frac{{{{{\rm{[A]}}}_{\rm{t}}}}}{{{{{\rm{[A]}}}_{\rm{0}}}}}\)
2 \({\rm{k = }}\frac{{{\rm{2303}}}}{{\rm{t}}}{\rm{ + lo}}{{\rm{g}}_{{\rm{10}}}}\frac{{{{{\rm{[A]}}}_{\rm{0}}}}}{{{{{\rm{[\;A]}}}_{\rm{t}}}}}\)
3 \({\rm{k = - }}\frac{{\rm{1}}}{{\rm{t}}}{\rm{In}}\frac{{{{{\rm{[A]}}}_{\rm{t}}}}}{{{{{\rm{[A]}}}_{\rm{0}}}}}\)
4 \({\rm{k = 2303}}\,{\rm{t}}\,{\rm{lo}}{{\rm{g}}_{{\rm{10}}}}\frac{{{{{\rm{[A]}}}_{\rm{0}}}}}{{{{{\rm{[}}\;{\rm{A]}}}_{\rm{t}}}}}\)
CHXII04:CHEMICAL KINETICS

320372 Assertion :
Hydrolysis of ethyl acetate in presence of acid is a reaction of first order whereas in presence of alkali, it is a reaction of second order.
Reason :
Acid only acts as a catalyst whereas alkali acts as one of the reactants.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
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CHXII04:CHEMICAL KINETICS

320369 Which of the following represents integrated rate law equation for gas phase first order reaction, \(\mathrm{A}_{(\mathrm{g})} \rightarrow \mathrm{B}_{(\mathrm{g})}+\mathrm{C}_{(\mathrm{g})}\)
if \(\mathrm{P}_{\mathrm{i}}=\) Initial pressure of \(\mathrm{A}\) \(\mathrm{P}=\) Total pressure of reaction mixture at time?

1 \(\mathrm{k}=2.303 \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}}{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}\)
2 \(\mathrm{k}=\dfrac{2.303}{\mathrm{t}} \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}}{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}\)
3 \(\mathrm{k}=\dfrac{1}{\mathrm{t}} \ln \dfrac{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}{\mathrm{P}_{\mathrm{i}}}\)
4 \(\mathrm{k}=\dfrac{2.303}{\mathrm{t}} \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}-\mathrm{P}}{\mathrm{P}_{\mathrm{i}}}\)
MHTCET - 2021
CHXII04:CHEMICAL KINETICS

320370 What is rate constant of a first order reaction if 0.08 mole of reactant reduces to 0.02 mole in 23.03 minute?

1 \(0.2303 \mathrm{~min}^{-1}\)
2 \(1.6021 \mathrm{~min}^{-1}\)
3 \(0.4031 \mathrm{~min}^{-1}\)
4 \(0.06021 \mathrm{~min}^{-1}\)
MHTCET - 2021
CHXII04:CHEMICAL KINETICS

320371 The integrated rate equation for first order reaction, \(\mathrm{A} \rightarrow\) product, is

1 \({\rm{k = }}\frac{{\rm{1}}}{{\rm{t}}}{\rm{In}}\frac{{{{{\rm{[A]}}}_{\rm{t}}}}}{{{{{\rm{[A]}}}_{\rm{0}}}}}\)
2 \({\rm{k = }}\frac{{{\rm{2303}}}}{{\rm{t}}}{\rm{ + lo}}{{\rm{g}}_{{\rm{10}}}}\frac{{{{{\rm{[A]}}}_{\rm{0}}}}}{{{{{\rm{[\;A]}}}_{\rm{t}}}}}\)
3 \({\rm{k = - }}\frac{{\rm{1}}}{{\rm{t}}}{\rm{In}}\frac{{{{{\rm{[A]}}}_{\rm{t}}}}}{{{{{\rm{[A]}}}_{\rm{0}}}}}\)
4 \({\rm{k = 2303}}\,{\rm{t}}\,{\rm{lo}}{{\rm{g}}_{{\rm{10}}}}\frac{{{{{\rm{[A]}}}_{\rm{0}}}}}{{{{{\rm{[}}\;{\rm{A]}}}_{\rm{t}}}}}\)
CHXII04:CHEMICAL KINETICS

320372 Assertion :
Hydrolysis of ethyl acetate in presence of acid is a reaction of first order whereas in presence of alkali, it is a reaction of second order.
Reason :
Acid only acts as a catalyst whereas alkali acts as one of the reactants.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
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CHXII04:CHEMICAL KINETICS

320369 Which of the following represents integrated rate law equation for gas phase first order reaction, \(\mathrm{A}_{(\mathrm{g})} \rightarrow \mathrm{B}_{(\mathrm{g})}+\mathrm{C}_{(\mathrm{g})}\)
if \(\mathrm{P}_{\mathrm{i}}=\) Initial pressure of \(\mathrm{A}\) \(\mathrm{P}=\) Total pressure of reaction mixture at time?

1 \(\mathrm{k}=2.303 \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}}{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}\)
2 \(\mathrm{k}=\dfrac{2.303}{\mathrm{t}} \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}}{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}\)
3 \(\mathrm{k}=\dfrac{1}{\mathrm{t}} \ln \dfrac{2 \mathrm{P}_{\mathrm{i}}-\mathrm{P}}{\mathrm{P}_{\mathrm{i}}}\)
4 \(\mathrm{k}=\dfrac{2.303}{\mathrm{t}} \times \log _{10} \dfrac{\mathrm{P}_{\mathrm{i}}-\mathrm{P}}{\mathrm{P}_{\mathrm{i}}}\)
MHTCET - 2021
CHXII04:CHEMICAL KINETICS

320370 What is rate constant of a first order reaction if 0.08 mole of reactant reduces to 0.02 mole in 23.03 minute?

1 \(0.2303 \mathrm{~min}^{-1}\)
2 \(1.6021 \mathrm{~min}^{-1}\)
3 \(0.4031 \mathrm{~min}^{-1}\)
4 \(0.06021 \mathrm{~min}^{-1}\)
MHTCET - 2021
CHXII04:CHEMICAL KINETICS

320371 The integrated rate equation for first order reaction, \(\mathrm{A} \rightarrow\) product, is

1 \({\rm{k = }}\frac{{\rm{1}}}{{\rm{t}}}{\rm{In}}\frac{{{{{\rm{[A]}}}_{\rm{t}}}}}{{{{{\rm{[A]}}}_{\rm{0}}}}}\)
2 \({\rm{k = }}\frac{{{\rm{2303}}}}{{\rm{t}}}{\rm{ + lo}}{{\rm{g}}_{{\rm{10}}}}\frac{{{{{\rm{[A]}}}_{\rm{0}}}}}{{{{{\rm{[\;A]}}}_{\rm{t}}}}}\)
3 \({\rm{k = - }}\frac{{\rm{1}}}{{\rm{t}}}{\rm{In}}\frac{{{{{\rm{[A]}}}_{\rm{t}}}}}{{{{{\rm{[A]}}}_{\rm{0}}}}}\)
4 \({\rm{k = 2303}}\,{\rm{t}}\,{\rm{lo}}{{\rm{g}}_{{\rm{10}}}}\frac{{{{{\rm{[A]}}}_{\rm{0}}}}}{{{{{\rm{[}}\;{\rm{A]}}}_{\rm{t}}}}}\)
CHXII04:CHEMICAL KINETICS

320372 Assertion :
Hydrolysis of ethyl acetate in presence of acid is a reaction of first order whereas in presence of alkali, it is a reaction of second order.
Reason :
Acid only acts as a catalyst whereas alkali acts as one of the reactants.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
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