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Worksheet: First-Order Rate Plots

Q1:

The concentration of a reactant A was monitored during the course of a reaction. The data were plotted on a graph of l n A [ ] against time. If the reaction is first-order with respect to A, what is the initial concentration of A in terms of the gradient of the plot π‘š and the 𝑦 -intercept 𝑐 ?

  • A e π‘š
  • B βˆ’ ( 𝑐 ) l n
  • C l n ( 𝑐 )
  • D e 𝑐
  • E l n ( π‘š )

Q2:

The concentration of a reactant A was monitored during the course of a reaction. The data were plotted on a graph of l n [ A ] against time. If the reaction is first-order with respect to A, what is the rate constant of the reaction in terms of the gradient of the plot π‘š and the 𝑦 -intercept 𝑐 ?

  • A 𝑐
  • B βˆ’ 1 π‘š
  • C l n ( 𝑐 )
  • D βˆ’ π‘š
  • E e 𝑐

Q3:

During a reaction, the concentration of a reactant A is measured as a function of the reaction time, 𝑑 . All other reactants are in large excess. Which graph could be plotted to check whether the reaction is of the first order with respect to A ?

  • A 1 [ ] A against 𝑑
  • B [ A ] against l n 𝑑
  • C 1 [ ] A against 1 𝑑
  • D l n A [ ] against 𝑑
  • E l n A [ ] against 1 𝑑

Q4:

Compounds A and B react according to the equation: The reaction is first-order with respect to A, and B is in large excess. Which function of the reaction rate 𝑅 varies linearly with the reaction time?

  • A 1 𝑅
  • B 𝑅
  • C 1 ( 𝑅 ) l n
  • D l n ( 𝑅 )
  • E e 𝑅