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Chemistry : Chemical Kinetics

Long Answer Type

261. The pressure of a gas decomposing at the surface of a solid catalyst has been measured at different times and the results are given below:

t/s	0	100	200	300
p/p_a	4.00 x 10³	3.50 x 10³	3.00 x 10³	2.5 x10³

Determine the order of reaction, its rate constant and half-life period?
It can be seen that rate of reaction between different time interval is

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Short Answer Type

262. Calculate the half-life period of a first order reaction when the rate constant is 5 year^–1.

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Long Answer Type

263. Show that in first order reaction time required for completion of 99.9% is 10 times of half-life (t_1/2) of the reaction.

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264. If half life of a first order reaction involving reactant A is 5 min. How long will it take [A] to reach 25% of its initial concentration?

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Short Answer Type

265. The activation energy of a reaction is 94.14 kJ mol^–1 and the value of rate constant at 313 K is 1.8 x 10^–5 sec^–1. Calculate the frequency factor A.

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266. The rate of a particular reaction doubles when temperature changes from 27°C to 37°C. Calculate the energy of activation of such a reaction.

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Long Answer Type

267. The rate constant of a reaction is 1.2 x 10^–3 sec^–3 at 30°C and 2.1 x 10^–3 sec^–1 at 40°C. Calculate the energy of activation of the reaction.

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Short Answer Type

268. The rate constant of reaction is 1.5 x 10⁷ sec^–1 at 50°C and 4.5 x10⁷ sec^–1 at 100°C. Calculate the value of activation energy, E_a for the reaction (R =8.314 JK^–1 mol^–1).

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Long Answer Type

269. In the Arrhenius equation for certain reaction, the values of the frequency factor and energy of activation are 4 x 10¹³ sec^–1 and 98.6 kJ/mol respectively. If the reaction is of first order, at what temperature will its half-life be 10 minutes.

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270. Consider the following data for the reaction A + B → Products.

Run	Initial	Initial	Initial rate (mol s^–1)
	concentration	concentration
1	0.10 M	0.1 M	2.1 x 10^–3
2	0.20 M	1.0 M	8.4 x 10^–3
3	0.20 M	2.0 M	8.4 x 10^–3

Determine the order of reaction with respect to A and with respect to B and the overall order of reaction.

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