Home
Class 12
CHEMISTRY
For a first order reaction A rarr P, the...

For a first order reaction `A rarr P`, the temperature `(T)` dependent rate constant `(k)` was found to follow the equation `log k = -2000(1//T) + 6.0`. The pre-exponential factor `A` and the activation energy `E_(a)`, respective, are

A

`1.0xx10^(6)s^(-1) and 9.2 kJ mol^(-1)`

B

`6.0 s^(-1) and 16.6kJ mol^(-1)`

C

`1.0xx10^(6)s^(-1) and 16.6 kJ mol^(-1)`

D

`1.0xx10^(6) s^(-1) and 38.3 kJ mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
According to Arrhenius equation
`K=Ae^(-E_(a)//RT)`
Taking logarithm of both the sides, we get
log `k=logA-(E_(a))/(2.303RT)`
We are given
log `k=6.0-(2000)(1)/(T)`
comparing the two, we obtain
log `A=6.0`
or `A=10^(6)sec^(-1)`
`(E_(a))/(2.303R)=2000`
or `E_(a)=(2000)(2.303)(8.14JK^(-1)mol^(-1))`
`=38.3KJmol^(-1)`
Promotional Banner

Topper's Solved these Questions

  • CHEMICAL KINETICS

    R SHARMA|Exercise Archives|39 Videos

  • CHEMICAL KINETICS

    R SHARMA|Exercise Follow-up 6|2 Videos

  • BIOMOLECULES

    R SHARMA|Exercise Archives|47 Videos

  • CHEMISTRY IN EVERYDAY LIFE

    R SHARMA|Exercise Archives|11 Videos

Similar Questions

Explore conceptually related problems

For a first order reaction ArarrP , the temperature (T) dependent rate constant (K) was found to follow the equation log k=-(2000)(1)/(T)+6.0 . The pre- exponential factor A and the activation energy E_(a) , respectively, are :

The rate of reaction increases isgnificantly with increase in temperature. Generally, rate of reactions are doubled for every 10^(@)C rise in temperature. Temperature coefficient gives us an idea about the change in the rate of a reaction for every 10^(@)C change in temperature. "Temperature coefficient" (mu) = ("Rate constant of" (T + 10)^(@)C)/("Rate constant at" T^(@)C) Arrhenius gave an equation which describes aret constant k as a function of temperature k = Ae^(-E_(a)//RT) where k is the rate constant, A is the frequency factor or pre-exponential factor, E_(a) is the activation energy, T is the temperature in kelvin, R is the universal gas constant. Equation when expressed in logarithmic form becomes log k = log A - (E_(a))/(2.303 RT) Activation energies of two reaction are E_(a) and E_(a)' with E_(a) gt E'_(a) . If the temperature of the reacting systems is increased form T_(1) to T_(2) ( k' is rate constant at higher temperature).

The rate of reaction increases isgnificantly with increase in temperature. Generally, rate of reactions are doubled for every 10^(@)C rise in temperature. Temperature coefficient gives us an idea about the change in the rate of a reaction for every 10^(@)C change in temperature. "Temperature coefficient" (mu) = ("Rate constant of" (T + 10)^(@)C)/("Rate constant at" T^(@)C) Arrhenius gave an equation which describes aret constant k as a function of temperature k = Ae^(-E_(a)//RT) where k is the rate constant, A is the frequency factor or pre-exponential factor, E_(a) is the activation energy, T is the temperature in kelvin, R is the universal gas constant. Equation when expressed in logarithmic form becomes log k = log A - (E_(a))/(2.303 RT) For a reaction E_(a) = 0 and k = 3.2 xx 10^(8)s^(-1) at 325 K . The value of k at 335 K would be

The rate of reaction increases isgnificantly with increase in temperature. Generally, rate of reactions are doubled for every 10^(@)C rise in temperature. Temperature coefficient gives us an idea about the change in the rate of a reaction for every 10^(@)C change in temperature. "Temperature coefficient" (mu) = ("Rate constant of" (T + 10)^(@)C)/("Rate constant at" T^(@)C) Arrhenius gave an equation which describes aret constant k as a function of temperature k = Ae^(-E_(a)//RT) where k is the rate constant, A is the frequency factor or pre-exponential factor, E_(a) is the activation energy, T is the temperature in kelvin, R is the universal gas constant. Equation when expressed in logarithmic form becomes log k = log A - (E_(a))/(2.303 RT) For which of the following reactions k_(310)//k_(300) would be maximum?

The rate of reaction increases isgnificantly with increase in temperature. Generally, rate of reactions are doubled for every 10^(@)C rise in temperature. Temperature coefficient gives us an idea about the change in the rate of a reaction for every 10^(@)C change in temperature. "Temperature coefficient" (mu) = ("Rate constant of" (T + 10)^(@)C)/("Rate constant at" T^(@)C) Arrhenius gave an equation which describes aret constant k as a function of temperature k = Ae^(-E_(a)//RT) where k is the rate constant, A is the frequency factor or pre-exponential factor, E_(a) is the activation energy, T is the temperature in kelvin, R is the universal gas constant. Equation when expressed in logarithmic form becomes log k = log A - (E_(a))/(2.303 RT) For the given reactions, following data is given {:(PrarrQ,,,,k_(1) =10^(15)exp((-2000)/(T))),(CrarrD,,,,k_(2) = 10^(14)exp((-1000)/(T))):} Temperature at which k_(1) = k_(2) is

The rate constant for the decompoistion of a certain reaction is described by the equation: log k(s^(-1)) = 14 - (1.25 xx 10^(4) K)/(T) Pre-exponential factor for this reaction is

The rate constant for a first order decomposition reaction is given by log K=10 - 1000/T .Then,what will be activation energy in kcal/mol?

R SHARMA-CHEMICAL KINETICS-Question Bank (Building the knowledge)
  1. The rate of a reaction doubles when its temperature changes form 300 K...

    Text Solution

    |

  2. Plots showing the variation of the rate constant (k) with temperature ...

    Text Solution

    |

  3. For a first order reaction A rarr P, the temperature (T) dependent rat...

    Text Solution

    |

  4. Conisder a reaction aG+bH rarr Products. When concentration of both th...

    Text Solution

    |

  5. The time for half-life period of a certain reaction, A rarr products i...

    Text Solution

    |

  6. Rate of a reaction can be expressed by Arrhenius equation as: k = Ae...

    Text Solution

    |

  7. The reaction M(2)(g) rarrN(g)+(1)/(2)R(g) shows increase in pressure f...

    Text Solution

    |

  8. The raction 2FeCl(3) + SnCl(2) rarr 2FeCl(2) + SnCl(4) is an example ...

    Text Solution

    |

  9. A first order gas reaction has k = 1.5 xx 10^(-6) s^(-1) at 200^(@)C. ...

    Text Solution

    |

  10. While studying the decompoistion of gaseous N(2)O(5), it is observed t...

    Text Solution

    |

  11. 99% at a first order reaction was completed in 32 min. When will 99.9%...

    Text Solution

    |

  12. If the rate constant for a reaction repreasented by 2HI rarr H(2)+I(2)...

    Text Solution

    |

  13. In an exothermic reaction A rarr B, the activation energy of the forwa...

    Text Solution

    |

  14. In Arrhenius equation k = Ae^(-E(a)//RT)), A is the value of the rate ...

    Text Solution

    |

  15. Two reaction proceed at 35^(@)C at the same rate. The temperature coef...

    Text Solution

    |

  16. A substance 'A' decomposes by a first order reaction starting initial...

    Text Solution

    |

  17. The concentration of R in the reaction R rarr P was measured as a func...

    Text Solution

    |

  18. Under the same reaction conditions, the intial concentration of 1.386 ...

    Text Solution

    |

  19. Consider a reaction, 2A + B rarr Products When concentration of B al...

    Text Solution

    |

  20. The energies of activation for forward and reverse reaction for A(2)+...

    Text Solution

    |