Home
Class 12
CHEMISTRY
ArarrB+C , the following records are obt...

`ArarrB+C` , the following records are obtained :
`{:(t(s),0,900,1800),([A](mol.L^(-1)),50.8,19.7,7.62):}`
Show that the reaction follows the rate law of first order reaction .

Text Solution

Verified by Experts

`k=(2.303)/(t)log.([A]_(0))/([A])`
`k = (2.303)/(900)log.(50.8)/(19.7)=1.052xx10^(-3)"min"^(-1)`
`k = (2.303)/(1800)log.(50.8)/(7.62)=1.054xx10^(-3)"min"^(-1)`
As the value of k obtained from integrated rate law of the first order reaction is almost same , the reaction follows the first order kinetics.
Promotional Banner

Topper's Solved these Questions

  • CHEMICAL KINETICS

    CHHAYA PUBLICATION|Exercise EXERCISE (SHORT ANSWER-TYPE QUESTIONS)|36 Videos

  • BIOMOLECULES

    CHHAYA PUBLICATION|Exercise Practic Set 29|1 Videos

  • CHEMICAL THERMODYNAMICS

    CHHAYA PUBLICATION|Exercise Practice Set 6|15 Videos

Similar Questions

Explore conceptually related problems

For the hydrolysis of methyl acetate in aqueous solution, the following results were obtained : {:(t//s,0,30,60),([CH_(3)COOH]//mol.L^(-1),0.60,0.30,0.15):} Show that it follows pseudo first order reaction, as the concentration of water remains constant.

In a pseudo first order hydrolysis of ester in water, the following results were obtained : {:(t(s),0,30,60,90),(["Ester"]("mol.L"^(-1)),0.55,0.31,0.17,0.085):} Calculate the average rate of reaction between the time interval 30 to 60s.

In a pseudo first order hydrolysis of ester in water, the following results were obtained : {:(t(s),0,30,60,90),(["Ester"]("mol.L"^(-1)),0.55,0.31,0.17,0.085):} Calculate the pseudo first order rate constant for the hydrolysis of ester.

The following data are obtained of the decomposition of N_(2)O_(4) " in CCl"_(4)" at " 44^(@)C {:("Time (min)",20,30,40,oo),("Volume of "O_(2)(ml),11.40,15.53,18.50,34.75):} Show that the reaction follows the rate law of first order reaction.

Hydrolysis of methyl acetate in aqueous solution has been studied by titrating the liberated acetic acid against sodium hydroxide. The concentration of the ester at different times is given below. {:("t(min)",0,30,60,90),(C("mol.L"^(-1)),0.8500,0.8004,0.7538,0.7096):} Show that it follows a pseudo first order reaction as, the concentration of water remain nearly constant (55"mol.L"^(-1)) , during the course of the reaction what is the value of k' in this equation ? Rate =k'[CH_(3)COOCH_(3)][H_(2)O]

For the hydrolysis of methyl acetate in aqueous solution, the following results were obtained : {:(t//s,0,30,60),([CH_(3)COOH]//mol.L^(-1),0.60,0.30,0.15):} Calculate the average rate of reaction between the time interval 30 to 60 seconds [Given: log_(2) = 0.3010and log4=0.6021 ]

A certain amount of methyl acetate was hydrolysed in the presence of excess of "0.05 M HCl at "25^(@)C . 20 mL of reaction mixture were removed and titrated with NaOH solution, the volume V of alkali required for neutralisation after time ‘t’ were as follows : {:("t(min)",0,20,40,60,oo),("v(mL)",20.2,25.6,29.5,32.8,50.5):} Show that the reaction is the first order reaction.

What do you mean by the statement 'the rate constant of the first order reaction is 0.02s^(-1)

Following data are obtained for the reaction : N_(2)O_(5)rarr2NO_(2)+(1)/(2)O_(2) {:(t(s)," "0," "300," "600),([N_(2)O_(5)("mol.L"^(-1))],1.6xx10^(-2),0.8xx10^(-2),0.4xx10^(-2)):} Show that it follows first order reaction.

The rate of a reaction is 1.2xx10^-3 L mol^-1s^-1 , What is the order of the reaction?

CHHAYA PUBLICATION-CHEMICAL KINETICS-EXERCISE (NUMERICAL PROBLEMS)
  1. The half -life of a first order reaction ArarrB is 10 min . What frac...

    Text Solution

    |

  2. In a first order reaction , the amount of reactant decomposed in the f...

    Text Solution

    |

  3. The half -life of a first order reaction is 40min . Calculate the time...

    Text Solution

    |

  4. The following data are obtained for the decomposition of H(2)O(2) " ...

    Text Solution

    |

  5. If decomposition of H(2)O(2) is a first order reaction , how long woul...

    Text Solution

    |

  6. Show that for a first order reaction , the time taken to reach 75% of ...

    Text Solution

    |

  7. ArarrB+C , the following records are obtained : {:(t(s),0,900,1800...

    Text Solution

    |

  8. To calculate the rate of decomposition of H(2)O(2) in an aqueous sol...

    Text Solution

    |

  9. The decomposition of ammonium nitrite was studied by placing the appar...

    Text Solution

    |

  10. The following data were obtained during the first order thermal decomp...

    Text Solution

    |

  11. The following data are obtained of the decomposition of N(2)O(4) " in...

    Text Solution

    |

  12. The decomposition of gaseous Cl(2)O(7) to gaseous Cl(2) and O(2) at ...

    Text Solution

    |

  13. The decomposition of gaseous Cl(2)O(7) to gaseous Cl(2) and O(2) at ...

    Text Solution

    |

  14. Calculate the Activation Energy (E(a)) of a reaction that follows the ...

    Text Solution

    |

  15. The decomposition of H(2)O(2) is a first order reaction . The rate co...

    Text Solution

    |

  16. The rate constant of decomposition of B is 4.8xx10^(3)s^(-1) " at "15...

    Text Solution

    |

  17. The time taken by a first order reaction to reach 10% completion at 29...

    Text Solution

    |

  18. Calculate the activation energy of the reaction whose rate constant fo...

    Text Solution

    |

  19. The rate constants of a reaction at 35^(@)C and 65^(@)C " are " 6.65x...

    Text Solution

    |

  20. At 25^(@)C and 45^(@)C , a first order reaction takes 30min and 10min ...

    Text Solution

    |