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JEE Main 20236 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
6 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2023 · 6 April · Morning Shift · Chemistry · Chemical Kinetics

For the adsorption of hydrogen on platinum, the activation energy...

For the adsorption of hydrogen on platinum, the activation energy is 30kJmol–130kJ{mol}^{– 1} and for the adsorption of hydrogen on nickel, the activation energy is 41.4kJmol–1.41 . 4kJ{mol}^{– 1} . The logarithm of the ratio of the rates of chemisorption on equal areas of the metals at 300K300K is _______ (Nearest integer)

Given: In10=2.3In10 = 2 . 3

R=8.3JK−1mol−1R = 8 . 3J{K}^{- 1}{mol}^{- 1}

Correct answer

0

Step-by-step solution

According to Arrhenius's equation,

k=Ae−Ea/RTlogk=logA−Ea2.3RTk = {Ae}^{- {E}_{a} / RT}logk = logA - \dfrac{{E}_{a}}{2 . 3RT}

Ea1={E}_{a1} =For the adsorption of hydrogen on platinum, the activation energy

Ea2={E}_{a2} =for the adsorption of hydrogen on nickel, the activation energy

log⁡(k2k1)=Ea2−Ea12.3RT\log \left(\dfrac{{k}_{2}}{{k}_{1}}\right) = \dfrac{{E}_{a2} - {E}_{a1}}{2 . 3RT}=11.4×10002.3×8.3×300= \dfrac{11 . 4 \times 1000}{2 . 3 \times 8 . 3 \times 300}

=1.990≈2= 1 . 990 \approx 2

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