Consider the reaction between an acid and a strip of magnesium:
When we increase the concentration of the acid, we increase the number of hydroxonium ions per unit volume. This leads to a higher frequency of collisions between the hydroxonium ions and the magnesium strip and hence a higher probability of collisions with the correct orientation and with energies that are equal or greater than the activation energy for the reaction to occur. Similarly, for the reaction , an amount of N2O4 that exerts a higher pressure on the walls of a piston chamber implies that more N2O4 molecules within the bulk are colliding with one another effectively per unit time. A higher pressure can be obtained by injecting more N2O4 into the chamber or decreasing the volume of the chamber. Therefore, an increase in the concentration (or pressure) of reactants increases the rate of a reaction.
Question
The volume of CO2 produced from the reaction of excess CaCO3 with different 3 samples of HCl is shown in the graph above. Which of the curves is for:
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- 40 cm3 of 0.01 M of HCl?
- 20 cm3 of 0.02 M of HCl?
- 20 cm3 of 0.01 M of HCl?
Answer
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- B
- A
- C
Curve A corresponds to a sample of HCl that is most concentrated as it has the highest initial rate of reaction, i.e. steepest tangent of the graph at t = 0, and is therefore associated with sample 2. The samples of acid for Curves A and B consist of the same number of moles of HCl because both curves produce the same amount of CO2. So, if curve A is generated by sample 2, curve B must correspond to sample 1. Furthermore, curve B has a lower initial rate of reaction than curve A, as it has half the concentration of HCl.
Since CaCO3 is in excess, HCl is the limiting reactant, which means that curve C must be produced by a sample of acid that has half the number of moles of HCl as compared to curves A and B. Sample 3 fits this description. Moreover, as samples 1 and 3 have the same concentration of HCl, their reaction with CaCO3 should approximately proceed with the same initial rate of reaction, which is validated by the gradients of curves B and C at the origin.
Lastly, because sample 1 has the largest volume of acid versus the other two samples, it is expected to take the longest time to completely react with CaCO3 and this is confirmed by the time curve B takes to level off.