The rate of reaction of metals with acid.

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The rate of reaction of metals with acid

Aim: To determine the order of reaction and the activation energy of the reaction between Magnesium and Hydrochloric acid.

To do this I will have to carry out two procedures; one for the order of reaction and one for the activation energy.

Background knowledge

Rate of reaction

In a reaction that takes place between two substances X and Y it is possible to follow the reaction by observing how quickly substance X is used up. The scientific way to see how the rate changes, would be by changing the concentration. The rate of reaction is usually measured as the change in concentration of a reaction species with time.  

The units of rate= mol dm-3 s-1

             Concentration        per time

Order of reaction

For a reaction: A+B+C         Products

The order of reaction shows how the reaction rate is affected by the concentrations of A, B and C.

If the order is 0 (zero order) with respect to reactant A than the rate is unaffected by changes in concentration of A. The way to show this is this:

        

                Rate  [ A ]0

If the order is 1 (first order) with respect to a reactant B than the rate is doubled by doubling of the concentration of reactant B.

                Rate [ B ]1

If the order is 2 (second order) with respect to a reactant C than the rate is quadrupled by doubling of the concentration of reactant C.

                Rate [ C ]2

Combining the information above

        Rate  [ A ]0[ B ]1[ C ]2

        Therefore rate = k [ B ]1[ C ]2

This expression is called the rate equation for the reaction where ‘k’ is the rate constant of the reaction.

Concentration/time graphs

It is often possible to measure the concentration of a reactant or product at various times during the course of an experiment. From the results a concentration/time graph can be plotted.

The shape of the graph can indicate the order of the reaction by measuring the half-life of a reactant

The following graph is a graph to show zero order

The concentration falls at a steady rate with time. Half-life decreases with time which indicates 0 order

The following graph below shows a graph of first order

The concentration halves in equal time intervals, which therefore means that it has a constant half-life.

 The last graph shows the graph of second order

As you can see the half-life gets progressively longer as the reaction proceeds. Half-life increases with time which indicates second order.

Preparation

Before I can do the reaction I would have to work out how much gas is produced depending on the amount of Magnesium used and how much Hydrochloric acid I would have to use. I worked that out below.

Mg(s) + 2HCl (aq)                MgCl2 (aq) + H2 (g)

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From this equation I can see that 1 mole of Magnesium reacts with 2 moles of hydrochloric acid to give 1 mole of Magnesium chloride and 1 mole of Hydrogen.

1cm of Magnesium = 0.012g, which means that 3cm = 0.036g

Therefore using the equation: moles= mass/RAM

Moles of Mg= 0.036/24=0.0015

 The ratio between Magnesium and Hydrogen is                                                                    1              :          1

So:                        0.0015     :       0.00.15

Which means that therefore the volume of Hydrogen released is

0.0015 x 24dm3 = 0.036 dm3 or 36 cm3

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