JEE Main · 2021 · Shift-IImediumCK-031

Which one of the following given graphs represents the variation of rate constant (k) with temperature (T) for an…

Chemical Kinetics · Class 12 · JEE Main Previous Year Question

Question

Which one of the following given graphs represents the variation of rate constant (k) with temperature (T) for an endothermic reaction? image

Options
  1. a

    Option 1

  2. b

    Option 2

  3. c

    Option 3

  4. d

    Option 4

Correct Answerd

Option 4

Detailed Solution

For any reaction (endothermic or exothermic), the rate constant kk increases with temperature according to the Arrhenius equation: k=AeEa/RTk = Ae^{-E_a/RT}

As TT increases, kk increases exponentially. The graph of kk vs TT is an exponential curve that starts near zero at low temperatures and rises steeply.

For an endothermic reaction, Ea(forward)>Ea(reverse)E_a(\text{forward}) > E_a(\text{reverse}), but the shape of kk vs TT is still an exponential increase.

Answer: Option (4) — exponential increase of k with T

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