# Chemistry Class 12 NCERT Solutions: Chapter 4 Chemical-Kinetic Part 13

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Q: 27. The rate constant for the first order decomposition of is given by the following equation:

Calculate for this reaction and at what temperature will its half-period be minutes?

Arrhenius equation is given by,

The given equation is

From equation (i) and (ii), we obtain

Also, when minutes,

It is also given that,

Q. 28. The decomposition of A into product has value of k as and energy of activation . At what temperature would k be ?

Answer:

From Arrhenius equation, we obtain

Also,

Then,

Hence, k would be

Note: There is a slight variation in this answer and the one given in the NCERT textbook.