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JEE Main 202311 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2023 · 11 April · Morning Shift · Chemistry · Chemical Kinetics

KClO _ 3 + 6 FeSO _ 4 + 3 H _ 2 SO _ 4 → KCl + 3 Fe _ 2 ( SO _ 4 )...

KClO3+6FeSO4+3H2SO4→KCl+3Fe2(SO4)3+3H2O{KClO}_{3} + 6{FeSO}_{4} + 3{H}_{2}{SO}_{4} \to KCl + 3{Fe}_{2} ( {SO}_{4}{)}_{3} + 3{H}_{2}O

The above reaction was studied at 300K300K by monitoring the concentration of FeSO4{FeSO}_{4} in which initial concentration was 10M10M and after half an hour became 8.8M8 . 8M. The rate of production of Fe2(SO4)3{Fe}_{2} ( {SO}_{4}{)}_{3} is _______ ×l0–6molL–1s–1\times l{0}^{– 6}mol{L}^{– 1}s{}^{– 1}

(Nearest integer)

Correct answer

0

Step-by-step solution

{KClO}_{3} + 6{FeSO}_{4} + 3{H}_{2}{SO}_{4} \to KCl + 3{Fe}_{2} ( {SO}_{4}{)}_{3} + 3{H}_{2}O</p><p>Fromtheaboveequation,rateofdecomposition</p><p>From the above equation, rate of decomposition{FeSO}_{4}andrateofproductionofand rate of production of{Fe}_{2}{\left({SO}_{4}\right)}_{3} can be written as follows,

16×RateofdecompositionFeSO4=13×RateofproductionFe2(SO4)3\dfrac{1}{6} \times Rateof{decomposition}_{{FeSO}_{4}} = \dfrac{1}{3} \times Rateof{production}_{{Fe}_{2}{\left({SO}_{4}\right)}_{3}}

Rate of decomposition of FeSO4{FeSO}_{4}

Changeinconcentrationtimeinseconds=(10−8.8)30×60\dfrac{Changeinconcentration}{timeinseconds} = \dfrac{( 10 - 8 . 8 )}{30 \times 60}

=1.21800molL−1s−1= \dfrac{1 . 2}{1800}mol{L}^{- 1}{s}^{- 1}

Rate of production of Fe2(SO4)3{Fe}_{2}{\left({SO}_{4}\right)}_{3}

=0.61800=3.33×10−4= \dfrac{0 . 6}{1800} = 3 . 33 \times {10}^{- 4}

=333.3×10−6mol−1s−1= 333 . 3 \times {10}^{- 6}{mol}^{- 1}{s}^{- 1}

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