Verified Solution • 2025–26 Session moderate

QAIPMT-2008-Ch-2224: NEET 2008 Chemistry - Class 12 AIPMT-2008-Ch-2224 Solution: The rate constants \(k_1\) and \(k_2\) for two different…

The rate constants k1k_1 and k2k_2 for two different reactions are 1016⋅e−2000/T10^{16}\cdot e^{-2000/T} and 1015⋅e−1000/T10^{15}\cdot e^{-1000/T}, respectively. The temperature at which k1=k2k_1=k_2 is

Multiple Choice Options

  • A 2000 K
  • B 10002.303\frac{1000}{2.303} K
  • C 1000 K
  • D 20002.303\frac{2000}{2.303} K

Step-by-Step Verified Solution

k 1 = 10 16 e _ 2000 T k 2 = 10 15 e _ 1000 T On taking log of both the equations, we get log _ k 1 = 16 _ 2000 2.303 T log _ k 2 = 15 _ 1000 2.303 T As k 1 = k 2 16 _ 2000 2.303 T = 15 _ 1000 2.303 T _ T = 1000 2.303 K

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