ChemistryAdvancedHigh School (11–12)Chemical Kinetics › Integrated Rate Equations and Half-LifeJEE Advanced
Created by StemPy LabA compound A breaks down in solution by a first order reaction at a fixed temperature. Nothing else in the solution reacts with A. Its concentration is measured every few minutes with a spectrometer, and every point lies on one line. The graph plots against time. It is a straight line that starts at at and reaches at . Take . The rate of reaction at any moment is . A student makes four claims from the graph. Which of the following statements are correct?
One or more options are correct. Tick all the correct ones: a wrong option costs marks, and a part-right answer earns part of the marks.
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← Match each observation in List-I with the overall order of reaction in List-II that it shows. List-I (P) For a reaction of one reactant, the half-life falls from 40.0 min to 20.0 min when the starting concentration is doubled. (Q) The rate constant has the unit L^(1/2) mol^(-1/2) s⁻¹. (R) For rate = k[A]ˣ[B]ʸ, doubling [A] alone makes the reaction 4 times faster, and doubling both [A] and [B] makes it 8 times faster. (S) For a reaction of one reactant, 75 per cent is used up in exactly twice the time taken for 50 per cent, whatever the starting concentration. List-II (1) 0 (2) 1 (3) 3/2 (4) 2 (5) 3The figure shows how the kinetic energies of the molecules of a gas are spread out at 300 K and at 310 K, for the same sample in a closed vessel. The activation energy Ea = 50.0 kJ mol⁻¹ is marked on the energy axis. Each curve gives the share of the molecules that have each kinetic energy. The gas reacts when two of its molecules collide, and its concentration stays fixed because the vessel is rigid. In collision theory, the fraction of collisions with at least the energy Ea is e^(-Ea/RT). Take R = 8.314 J K⁻¹ mol⁻¹. Which of the following statements are correct? →
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