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Determination of Reaction Order ⇔ AP Chemistry Lab - Huron High ...

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<strong>Determination</strong> <strong>of</strong> <strong>Reaction</strong> <strong>Order</strong> ⇔ <strong>AP</strong> <strong>Chemistry</strong> <strong>Lab</strong><br />

Introduction: In this experiment you will measure the time required for magnesium to react with<br />

hydrochloric acid <strong>of</strong> various concentrations. From this data you will calculate the rate <strong>of</strong> reaction for each<br />

experiment and graphically determine the order <strong>of</strong> reaction with respect to the hydrogen ion concentration.<br />

Magnesium ribbon will be cut into six equal pieces. Since the ribbon is fairly uniform in manufacture, the<br />

length is proportional to the surface area, and the area for reaction is very nearly the same for each piece.<br />

We can assume that the concentration <strong>of</strong> Mg is the same for each trial and that variations in rate are<br />

attributes to variations in acid concentrations. Six, 24 mL aliquots (portions) <strong>of</strong> HCl, having varying<br />

molarities, will be used. These aliquots will prepared by diluting portions <strong>of</strong> a 6.0 M stock solution.<br />

Amounts <strong>of</strong> 6.0 M HCl used will be calculated according to the equation M 1 V 1 =M 2 V 2 .<br />

For this reaction, the net ionic equitation is Mg + 2H + (aq) → H 2 (g) + Mg 2+ . The general rate equation is<br />

rate= k[H + ] n where “n” is the order <strong>of</strong> the reaction and the rate can be expressed in terms <strong>of</strong> reciprocal time,<br />

i.e. rate=1/t. Taking the natural log <strong>of</strong> both sides <strong>of</strong> the equation gives ln(1/t) = n(ln[H + ]) + ln(k). This has<br />

the form <strong>of</strong> a linear equation y = mx+b. where the slope is the order (n) and the y-intercept is the natural log<br />

<strong>of</strong> the rate constant, k.<br />

Objectives:<br />

1. Separation <strong>of</strong> solutions <strong>of</strong> hydrochloric acid in concentrations <strong>of</strong> 0.5M, 1.0M, 2.0M, 3.0M, 4.0M,<br />

5.0M.<br />

2. <strong>Reaction</strong> <strong>of</strong> measured amounts <strong>of</strong> magnesium metal with each <strong>of</strong> the portions <strong>of</strong> HCl, with<br />

measurement <strong>of</strong> time necessary for reaction to be complete.<br />

3. Graphing <strong>of</strong> data and calculation <strong>of</strong> rate constant, k.<br />

Safety precautions: HCl is a strong acid and present in this lab in high concentration. Be careful to avoid<br />

skin contact as well as clothing contact. Wear safety goggles and an apron for this experiment.<br />

Equipment: Test tubes or small beakers Ruler Stopwatch or watch<br />

Graduated cylinder Stirring rod with second hand<br />

Procedure:<br />

1. Prepare the six aliquots <strong>of</strong> HCl from the 6.0M stock solution. For each reaction, prepare 24.0 mL<br />

<strong>of</strong> solution in a small beaker or test tube.<br />

2. Clean a 12-cm length <strong>of</strong> magnesium ribbon by rubbing it lightly with paper towel to remove the<br />

magnesium oxide. Cut the ribbon into six 2.0-cm pieces.<br />

3. Drop a piece <strong>of</strong> Mg ribbon into the 0.5M acid. Time the reaction carefully. Stir the solution as the<br />

metal reacts. Be careful not to allow the metal to stick to the sides <strong>of</strong> the container or to float<br />

above the acid solution.<br />

4. Stop the timer when the Mg is completely reacted and record the elapsed time.<br />

5. Repeat steps 3 and 4 for each <strong>of</strong> the other five acid concentrations.


Data and Calculations:<br />

Trial Amount <strong>of</strong> 6.0M<br />

HCl diluted to<br />

24 mL<br />

1.<br />

[H + ] ln[H + ] Time <strong>of</strong><br />

reaction (t)<br />

(sec)<br />

1/t 1/[H + ]<br />

2.<br />

3.<br />

4.<br />

5.<br />

6.<br />

Carefully graph ln[H + ] on the y-axis and t on the x-axis, drawing a line <strong>of</strong> best fit. Use your calculator to<br />

perform a linear regression. Carefully graph 1/[H + ] on the y-axis and t on the x-axis, drawing a line <strong>of</strong> best<br />

fit. Use your calculator to perform a linear regression. Note: there are many other ways to represent this<br />

graph with the data/calculations listed above. It is up to you to understand the math and the relationships <strong>of</strong><br />

these variables to the line equation.<br />

Which graph is linear<br />

What is the slope <strong>of</strong> the graph<br />

What is the y-intercept<br />

What is the order <strong>of</strong> the reaction with respect to hydrogen ions<br />

Determine the value <strong>of</strong> the rate constant.<br />

Post-<strong>Lab</strong> Questions:<br />

1. Why does reaction rate usually change as the concentration changes<br />

2. Why does the reaction rate usually change with temperature<br />

3. What is the difference between reaction rate and specific rate constant<br />

4. How could you improve your data

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