Dianna Li General Chemistry 4A 3-5-12 How does the concentration of hydrochloric acid affect the rate of reaction of magnesium carbonate and hydrochloric acid? INTRODUCTION According to collision theory, for a chemical reaction to occur, there must be collisions between the reacting molecules. Thus, it stands to reason that increasing the concentration of an aqueous reactant will increase the frequency of collisions between the reacting molecules, thereby increasing the rate of reaction. The aim of this experiment is to discover whether this theory applies to the reaction between hydrochloric acid and magnesium carbonate; that is, how the concentration of hydrochloric acid affects the rate of reaction. The reaction between hydrochloric acid and magnesium carbonate is as follows: MgCO3 + 2HCl –> MgCl2 + H2O + CO2 Hypothesis: The rate of reaction will increase as concentration of hydrochloric acid increases because there are more molecules of hydrochloric acid to react with the magnesium carbonate, which means the chance of molecules colliding and reacting increases. Variables: Independent variable: Concentration of hydrochloric acid Dependent variable: rate of reaction, calculated by measuring change in mass of solution Controlled variables: Mass and surface area of magnesium carbonate, mass of hydrochloric acid, time recorded, temperature of solution, and environmental settings Materials: - 0.1, 0.5, 1.0, and 2.0 mol/dm3 samples of hydrochloric acid; 150 mL each (3 trials for each concentration) - 50 mL graduated cylinder(s) - 6 grams of magnesium carbonate; split into samples of 0.5 g each - plastic weighing dish - mortar and pestle - 100 mL conical flask(s) - electronic balance - timer - safety goggles - apron Procedures: 1. Put on safety goggles and apron. 2. Measure 50.0 mL of 0.1 mol/dm^3 hydrochloric acid into a graduated cylinder. Pour the sample into a conical flask. Mass the flask and the acid. 3. With the magnesium carbonate powder, determine 0.5 grams of magnesium carbonate. As the initial mass of the solution (carbonate + acid + flask), add together the mass of the flask (acid) and the mass of the piece of carbonate. 4. Place the flask onto the electronic balance and prepare the timer. 5. Pour in the sample of magnesium carbonate and start the timer. 6. In intervals of 30 seconds, record the mass of the solution. Stop recording at 5 minutes 7. Repeat steps 2-6 three times to get three trial readings. 8. Repeat steps 2-7 for each concentration (0.1, 0.5, 1.0, 2.0 mol/dm^3). 9. Calculate the average masses at each time interval of each trial (of the same concentration) (see sample calculations). 10. Plot the average masses of each 30-second interval on a line graph (Time vs. Mass). 11. Draw a curved trend line for the data and draw lines tangent to the curve at 30 seconds and 2 minutes. 12. Find the instantaneous rate of change of the mass at 30 seconds and 2 minutes (see sample calculations). 13. Repeat steps 9-12 for each concentration to get four different rates of change. 14. Plot these four rates of change on a bar graph to visualize the effect of concentration on the rate of reaction. Procedure Explanation: Measuring the change in mass of the solution in intervals lets us calculate the amount of substance that has already reacted over time, and thus allows us to see how the rate of reaction changes over certain time intervals for different concentrations of hydrochloric acid. DATA COLLECTION Qualitative observations: magnesium carbonate has dull color, bubbles forming at bottom of the flask (CO2), magnesium carbonate dissolving at top Table 1.1: Data collection for 0.1 moldm-3 hydrochloric acid. Time (s) ± 0.005 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 Trial 1 Mass (g) ± 0.001 145.697 145.691 145.689 145.686 145.686 145.685 145.684 145.684 145.683 145.683 145.682 145.682 145.681 145.681 145.681 145.680 145.680 145.680 145.679 145.679 145.679 Trial 2 Mass (g) ± 0.001 143.434 143.428 143.426 143.424 143.423 143.422 143.421 143.420 143.419 143.419 143.419 143.418 143.418 143.418 143.417 143.417 143.417 143.416 143.416 143.416 143.415 Trial 3 Mass (g) ± 0.001 143.614 143.609 143.606 143.604 143.602 143.600 143.599 143.597 143.595 143.594 143.593 143.592 143.591 143.590 143.589 143.588 143.588 143.587 143.586 143.585 143.584 Average Mass (g) ± 0.001 144.248 144.243 144.240 144.238 144.237 144.236 144.235 144.234 144.232 144.232 144.231 144.231 144.230 144.230 144.229 144.228 144.228 144.228 144.227 144.227 144.226 Table 1.2: Data collection for 0.5 moldm-3 hydrochloric acid. Time (s) ± 0.005 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 Trial 1 Mass (g) ± 0.001 146.130 146.102 146.082 146.078 146.076 146.074 146.073 146.071 146.070 146.069 146.068 146.067 146.066 146.065 146.064 146.064 146.063 146.063 146.062 146.062 146.061 Trial 2 Mass (g) ± 0.001 143.013 142.986 142.966 142.960 142.957 142.955 142.953 142.952 142.951 142.950 142.949 142.948 142.947 142.946 142.945 142.944 142.944 142.943 142.942 142.942 142.941 Trial 3 Mass (g) ± 0.001 143.306 143.272 143.257 143.252 143.249 143.246 143.243 143.242 143.240 143.238 143.236 143.235 143.234 143.233 143.232 143.231 143.230 143.229 143.228 143.228 143.227 Average Mass (g) ± 0.001 144.150 144.120 144.102 144.100 144.094 144.092 144.090 144.088 144.087 144.086 144.084 144.083 144.082 144.081 144.080 144.080 144.079 144.078 144.077 144.077 144.076 Table 1.3: Data collection for 1.0 moldm-3 hydrochloric acid. Time (s) ± 0.005 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 Trial 1 Mass (g) ± 0.001 146.772 146.743 146.724 146.716 146.712 146.710 146.708 146.706 146.705 146.704 146.703 146.702 146.701 146.700 146.699 146.698 146.697 146.696 146.695 146.695 146.694 Trial 2 Mass (g) ± 0.001 143.754 143.723 143.710 143.702 143.699 143.695 143.693 143.692 143.690 143.689 143.687 143.686 143.685 143.684 143.683 143.681 143.680 143.679 143.678 143.677 143.676 Trial 3 Mass (g) ± 0.001 143.725 143.691 143.680 143.674 143.670 143.667 143.664 143.662 143.660 143.658 143.657 143.655 143.654 143.652 143.651 143.650 143.649 143.647 143.646 143.645 143.644 Average Mass (g) ± 0.001 144.750 144.719 144.705 144.697 144.694 144.691 144.688 144.687 144.685 144.684 144.682 144.681 144.680 144.679 144.678 144.676 144.675 144.674 144.673 144.672 144.671 Table 1.4: Data collection for 2.0 moldm-3 hydrochloric acid. Time (s) ± 0.005 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 Trial 1 Mass (g) ± 0.001 146.627 146.563 146.554 146.552 146.550 146.548 146.547 146.546 146.545 146.543 146.542 146.540 146.539 146.538 146.537 146.536 146.535 146.534 146.533 146.532 146.531 Trial 2 Mass (g) ± 0.001 143.524 143.467 143.459 143.457 143.455 143.453 143.452 143.450 143.449 143.448 143.446 143.445 143.443 143.442 143.441 143.440 143.439 143.438 143.436 143.435 143.434 Trial 3 Mass (g) ± 0.001 143.179 143.121 143.109 143.107 143.105 143.103 143.102 143.101 143.100 143.098 143.096 143.095 143.093 143.092 143.091 143.090 143.089 143.088 143.087 143.086 143.085 Average Mass (g) ± 0.001 144.443 144.384 144.374 144.372 144.370 144.368 144.367 144.366 144.365 144.363 144.361 144.360 144.358 144.357 144.356 144.355 144.354 144.353 144.352 144.351 144.350 Table 1.5: Compared averages for different concentrations of hydrochloric acid 0.1 0.5 1.0 2.0 moldm-3 moldm-3 moldm-3 moldm-3 Time (s) ± 0.005 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 Mass (g) ± 0.001 144.248 144.243 144.240 144.238 144.237 144.236 144.235 144.234 144.232 144.232 144.231 144.231 144.230 144.230 144.229 144.228 144.228 144.228 144.227 144.227 144.226 Mass (g) ± 0.001 144.150 144.120 144.102 144.100 144.094 144.092 144.090 144.088 144.087 144.086 144.084 144.083 144.082 144.081 144.080 144.080 144.079 144.078 144.077 144.077 144.076 Mass (g) ± 0.001 144.750 144.719 144.705 144.697 144.694 144.691 144.688 144.687 144.685 144.684 144.682 144.681 144.680 144.679 144.678 144.676 144.675 144.674 144.673 144.672 144.671 Mass (g) ± 0.001 144.443 144.384 144.374 144.372 144.370 144.368 144.367 144.366 144.365 144.363 144.361 144.360 144.358 144.357 144.356 144.355 144.354 144.353 144.352 144.351 144.350 Total Δg 0.022 0.074 0.079 0.093 DATA PROCESSING Graph 1.1: Change in mass vs. time for reaction between 0.1 moldm-3 hydrochloric acid and magnesium carbonate 144.25 Mass of Flask + Solution (g) 144.245 144.24 144.235 144.23 144.225 0 50 100 150 Time (s) 200 250 300 Graph 1.2: Change in mass vs. time for reaction between 0.5 moldm-3 hydrochloric acid and magnesium carbonate 144.15 Mass of Flask + Solution (g) 144.14 144.13 144.12 144.11 144.1 144.09 144.08 144.07 0 50 100 150 200 Time (s) 250 300 350 Graph 1.3: Change in mass vs. time for reaction between 1.0 moldm-3 hydrochloric acid and magnesium carbonate 144.75 Mass of Flask + Solution (g) 144.74 144.73 144.72 144.71 144.7 144.69 144.68 144.67 0 50 100 150 Time (s) 200 250 300 Graph 1.4: Change in mass vs. time for reaction between 2.0 moldm-3 hydrochloric acid and magnesium carbonate 144.45 144.44 Mass of Flask + Solution (g) 144.43 144.42 144.41 144.4 144.39 144.38 144.37 144.36 144.35 144.34 0 50 100 150 Time (s) 200 250 300 Graph 2: Comparison in instantaneous rates of change for different concentrations of hydrochloric acid at 30 seconds 0 Rate of Reaction (g/s) -0.0001 -0.0002 -0.0003 -0.0004 -0.0005 -0.0006 Concentration (mol/dm3) Graph 3: Comparison in instantaneous rates of change for different concentrations of hydrochloric acid at 2 minutes 0 Rate of Reaction (mol/dm3) -0.00001 -0.00002 -0.00003 -0.00004 -0.00005 -0.00006 -0.00007 -0.00008 -0.00009 Concentration (mol/dm3) Note: In the case of this experiment, the lower the numerical value for the rate of reaction, the faster the reaction was, because we were measuring the loss of mass. Thus, a higher negative value would mean a higher rate of reaction. Table 2: Comparisons of rates of reaction at 30 and 120 seconds for different concentrations (rates of reaction: g/s) 0.1 moldm- 0.5 moldm- 1.0 moldm- 2.0 moldmTime (s) 30 120 3 3 3 3 -0.000157 -0.0000286 -0.000571 -0.0000387 -0.000571 -0.00008 -0.00045 -0.0000313 CALCULATIONS To find the instantaneous rate of reaction at a certain time interval, draw a tangent line to the graph at that point, and calculate the slope. Averaging trials: (Trial 1 + Trial 2 + Trial 3)/3 Sample: 2.0 moldm-3 hydrochloric acid at 0 seconds (146.627 + 143.524 + 143.179)/3 slope = Example: 0.1 moldm-3 hydrochloric acid at 30 seconds g/s CONCLUSION: The aim of the experiment was not achieved, and according to this experiment, our hypothesis was incorrect. However, although the data we found suggests that the collision theory does not apply to the reaction between magnesium carbonate and hydrochloric acid, the experiment had a gaping fault too severe for us to make such a statement (see evaluation). According to the results, the rate of reaction was highest (higher negative value for rate of reaction means faster reaction rate) for 1.0 moldm-3 hydrochloric acid at both 30 and 120 seconds. There seems to be a correlation between the higher concentration and higher reaction rate, with the exception of the results of the 2.0 moldm-3 hydrochloric acid, which was lower than both 0.5 and 1.0 moldm-3 acid. EVALUATION: We expected a positive correlation between concentration and rate of reaction, and this was generally reflected in our results, with the exception of the results for the 2.0 moldm-3 hydrochloric acid. Quantitatively, the reaction rate of the 2.0 moldm-3 hydrochloric acid at both time intervals was much lower than that of the 0.5 and 1.0 moldm-3 acid. This may have been because the 2.0 moldm-3 acid reacted so fast with the magnesium carbonate that by 30 seconds there wasn’t enough to keep reacting. If we had calculated the initial rates of reaction, it may have produced more accurate results. If we assume this theory, then the collision theory still applies. If we were to redo this experiment, we would use lower concentrations of hydrochloric acid, with smaller concentration differences, for example, 0.1, 0.2, 0.4, 0.6, 0.8, 1.0 moldm-3. This would probably provide results that more accurately follow the collision theory.