JEE Main · 2020 · Shift-IImediumCK-005

For the reaction 2A + 3B + 32C 3P, which statement is correct?

Chemical Kinetics · Class 12 · JEE Main Previous Year Question

Question

For the reaction 2A+3B+32C→3P2\mathrm{A} + 3\mathrm{B} + \frac{3}{2}\mathrm{C} \rightarrow 3\mathrm{P}, which statement is correct?

Options
  1. a

    dnAdt=32dnBdt=34dnCdt\frac{dn_A}{dt} = \frac{3}{2}\frac{dn_B}{dt} = \frac{3}{4}\frac{dn_C}{dt}

  2. b

    dnAdt=dnBdt=dnCdt\frac{dn_A}{dt} = \frac{dn_B}{dt} = \frac{dn_C}{dt}

  3. c

    dnAdt=23dnBdt=43dnCdt\frac{dn_A}{dt} = \frac{2}{3}\frac{dn_B}{dt} = \frac{4}{3}\frac{dn_C}{dt}

    ✓
  4. d

    dnAdt=23dnBdt=34dnCdt\frac{dn_A}{dt} = \frac{2}{3}\frac{dn_B}{dt} = \frac{3}{4}\frac{dn_C}{dt}

Correct Answerc

dnAdt=23dnBdt=43dnCdt\frac{dn_A}{dt} = \frac{2}{3}\frac{dn_B}{dt} = \frac{4}{3}\frac{dn_C}{dt}

Detailed Solution

The rate of reaction is defined as: r=−12dnAdt=−13dnBdt=−13/2dnCdt=13dnPdtr = -\frac{1}{2}\frac{dn_A}{dt} = -\frac{1}{3}\frac{dn_B}{dt} = -\frac{1}{3/2}\frac{dn_C}{dt} = \frac{1}{3}\frac{dn_P}{dt}

So: dnAdt=23dnBdt\frac{dn_A}{dt} = \frac{2}{3}\frac{dn_B}{dt} and dnAdt=23/2dnCdt=43dnCdt\frac{dn_A}{dt} = \frac{2}{3/2}\frac{dn_C}{dt} = \frac{4}{3}\frac{dn_C}{dt}

Answer: Option (3)

Practice this question with progress tracking

Want timed practice with adaptive difficulty? Solve this question (and hundreds more from Chemical Kinetics) inside The Crucible, our adaptive practice platform.

Practice in The Crucible →Browse Chemical Kinetics chapter →

More JEE Main Chemical Kinetics PYQs

2020easy

For the equilibrium A B, the variation of the rate of the forward (a) and reverse (b) reaction with time is given by:

2019easy

NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation: {2N_2O_5(g) 4NO_2(g) + O_2(g)} The initial concentration of N2O5 is 3.00\,mol\,L-1 and it is…

2019hard

In the following reaction: xA yB _{10}[-{d[{A}]}{dt}] = _{10}[-{d[{B}]}{dt}] + 0.3010 'A' and 'B' respectively can be:

2025hard

Consider the following statements related to temperature dependence of rate constants. Identify the correct statements: A. The Arrhenius equation holds true only for an elementary homogeneous…

2025hard

Reactant A converts to product D through the given mechanism (with the net evolution of heat): A - B slow; H = +ve B - C fast; H = -ve C - D fast; H = -ve Which of the following represents the above…

View all 51 Chemical Kinetics PYQs →