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← JEE Main 2022 · 25 Jun · Shift 1
ChemistryInteger+4 / -1Question 88 of 90

JEE Main 2022 · 25 Jun · Shift 1, Chemistry question 88

For a given chemical reaction
γ1A+γ2B→γ3C+γ4D\gamma_1A+\gamma_2B\rightarrow\gamma_3C+\gamma_4D
Concentration of C changes from 10 mmol dm−3^{-3} to 20 mmol dm−3^{-3} in 10 seconds. Rate of appearance of D is 1.5 times the rate of disappearance of B which is twice the rate of disappearance A. The rate of appearance of D has been experimentally determined to be 9 mmol dm−3^{-3} s−1^{-1}. Therefore the rate of reaction is ______ mmol dm−3^{-3} s−1^{-1}. (Nearest Integer)

Answer and worked solution

Official answer: 1

Relative rates. Rate of A =r=r, of B =2r=2r, of D =3r=9=3r=9, so r=3r=3: A 3, B 6, D 9, and C 20−1010=1\frac{20-10}{10}=1 mmol dm−3^{-3} s−1^{-1}.

Coefficients are in the ratio of the rates: γ=3,6,1,9\gamma=3,6,1,9.

Rate of reaction. rate of Dγ4=99=1\dfrac{\text{rate of D}}{\gamma_4}=\dfrac99=1 mmol dm−3^{-3} s−1^{-1}.

Answer: 1

Topics:Rate of reaction and rate law
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