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Question: For a gaseous reaction, following data is given: A ® B, k<sub>1</sub> = 10<sup>15</sup> e<sup>–2000...

For a gaseous reaction, following data is given:

A ® B, k1 = 1015 e–2000/T

C ® D, k2 = 1014 e–1000/T

The temperature at which k1 = k2is:

A

1000 K

B

2000 K

C

868.82 K

D

434.2 K

Answer

434.2 K

Explanation

Solution

When k1 = k2,

1015e–2000/T = 1014e–1000/T

10 = e1000/T

2.303 log 10 = 1000T\frac{1000}{T}

T = 434.2 K