JEE Advanced · 2010 · 11 Apr 2010 · Paper 1 · Chemical Kinetics

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Plots showing the variation of the rate constant (k) with temperature (T) are given below. The plot that follows Arrhenius equation is

(A)(see structure)
✓ Correct
(B)(see structure)
(C)(see structure)
(D)(see structure)

Answer: (A)

Solution

The Arrhenius equation is

k = A e^{- E_{a} / R T}

, which in logarithmic form becomes

ln k = ln A - \frac{E _{a}}{R} \cdot \frac{1}{T}

. This shows that a plot of ln k versus 1/T should be linear with a negative slope. Option A shows this characteristic linear relationship with negative slope, which is the correct representation of the Arrhenius equation.

JEE Advanced · 2010 · 11 Apr 2010 · Paper 1 · Single correct option

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