Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2024
Exam
BITSAT
Year
2024
Subject
Chemistry
Chapter
Chemical Kinetics

BITSAT 2024 · Chemistry · Chemical Kinetics

For the reaction 2 SO_2+O_2 leftharpoons 2 SO_3 , the rate of...

For the reaction 2SO2+O2⇌2SO32 \mathrm{SO}_2+\mathrm{O}_2 \rightleftharpoons 2 \mathrm{SO}_3, the rate of disappearance of O2\mathrm{O}_2 is 2×10−4molL−1\mathrms−12 \times 10^{-4} \mathrm{ mol} \mathrm{ L}^{-1}\mathrms^{-1}. The rate appearance of SO3\mathrm{SO}_3 is

Options

  1. A2×10−4molL−1s−12 \times 10^{-4} \mathrm{ mol} \mathrm{ L}^{-1} \mathrm{ s}^{-1}
  2. B4×10−4molL−1s−14 \times 10^{-4} \mathrm{ mol} \mathrm{ L}^{-1} \mathrm{ s}^{-1}
  3. C1×10−1molL−1s−11 \times 10^{-1} \mathrm{ mol} \mathrm{ L}^{-1} \mathrm{ s}^{-1}
  4. D6×10−4molL−1s−16 \times 10^{-4} \mathrm{ mol} \mathrm{ L}^{-1} \mathrm{ s}^{-1}

Correct answer

B. 4×10−4molL−1s−14 \times 10^{-4} \mathrm{ mol} \mathrm{ L}^{-1} \mathrm{ s}^{-1}

Step-by-step solution

2SO2+O2⇌2SO32 \mathrm{SO}_2+\mathrm{O}_2 \rightleftharpoons 2 \mathrm{SO}_3 Rate of reaction =−12d[SO2]dt=−d[O2]dt=12d[SO3]dt=-\frac{1}{2} \frac{d\left[\mathrm{SO}_2\right]}{d t}=-\frac{d\left[\mathrm{O}_2\right]}{\mathrm{dt}}=\frac{1}{2} \frac{d\left[\mathrm{SO}_3\right]}{d t} Rate of appearance of SO3\mathrm{SO}_3, d[SO3]dt=2×[−d[O2]dt]=2×(2×10−4)=4×10−4molL−1s−1\begin{aligned} \frac{d\left[\mathrm{SO}_3\right]}{d t} & =2 \times\left[\frac{-d\left[\mathrm{O}_2\right]}{d t}\right]=2 \times\left(2 \times 10^{-4}\right) \\ & =4 \times 10^{-4} \mathrm{ mol} \mathrm{ L}^{-1} \mathrm{ s}^{-1} \end{aligned}
Practice Chemical Kinetics on Quantrex Academy →

More from Chemical Kinetics

If for a first order reaction, the value of A and E_a are 4 × 10^ 13 s^ -1 and 98.6 kJ… BITSAT 2024In the chemical reaction A arrow B , what is the order of the reaction? Given that, the… BITSAT 2024Calculate the activation energy of a reaction, whose rate constant doubles on raising the… BITSAT 2024In the reaction, A arrow products, If the concentration of the reactant is doubled rate… BITSAT 2024In a first order reaction, the concentration of the reactant, decreases from 0.8 M to 0.4… BITSAT 2024For the decomposition of azomethane, CH_3 N_2 CH_3( g) arrow CH_3 CH_3( g)+N_2( g) a… BITSAT 2023Plots showing the variation of the rate constant (k) with temperature (T) are given… BITSAT 2023In a 1 st order reaction, reactant concentration C varies with time t as : BITSAT 2021 Full Chemical Kinetics list All BITSAT PYQs