Chemistry Experiment Introduction The rate of the reaction is the measure of how fast a reaction takes place. It is always a measure of the rate of change of the concentration of reactants or products with time. Thus to study the rate of a reaction, one would have to measure a change in concentration and the rate at which it is occurring. There is no simple way the change in concentration can be detected. It is only the change in color or the formation of a precipitate that helps detect a change in concentration. The rate of a reaction depends on various factors: temperature, concentration, presence of catalyst etc. To see the effect that one factor has on the rate of the reaction we must keep the other factors constant. Research Question To study the effect of the concentration of hydrochloric acid on the rate of the reaction between sodium thiosulphate and hydrochloric acid at room temperature. Independent variable Variable Concentration of hydrochloric acid Unit Molarity (mol/dm3) How is the variable measured Although there is no direct way by which this variable can be measured, we can employ a quantitative approach. Assuming that the initial concentration of HCl is known to a certain degree of accuracy, we can calculate the concentration after dilution by first calculating the number of moles in the original sample and dividing it by the volume of the diluted solution. Keep in mind the number of significant digits in the (±0.01M) Unit Although the unit is actually mol/dm3, here it would be seconds, since we cannot keep a track of the change in moles. How is the variable measured Time can be measured to a great deal of accuracy using a stopwatch. (±0.01s). To account for the moment when we should stop the stop watch and maintain uniformity, we place the flask Dependent variable Variable The rate of the reaction (the time taken for turbidity to form) in which the reaction is taking place on a white paper with a cross. The time it takes for the cross to disappear completely would be the time that we would measure on the stop watch. Since we also need to account for the random error involved in this process. This would be further explored in the observation section. Controlled variables Variable Amount of sodium thiosulphate Unit Moles (mol) Temperature of the reaction Degrees Celsius The total volume of the reactants Milliliters (cm3) The concentration of Molarity (mol/dm3) How is the variable controlled We ensure that we add the same number of moles of Na2S2O3 every time by ensuring that we put in the same volume of the Na2S2O3 solution. Since, the concentration of Na2S2O3 remains the same; the number of moles we add remains the same throughout. Although, it is highly unlikely that we can control the temperature to a very high degree of accuracy, we can maintain it within a range. By performing the experiment in a corner away from the sunlight in a temperature controlled room can help control the temperature of the reaction mixture The total volume of the reaction is always kept constant by adding the required amount of distilled water to the mixture so that the volume is always fixed at 50ml. This also helps change the concentration of HCl is a uniform manner. Although this sounds hydrochloric acid (though the that used in the experiment was varied by the use of distilled water) redundant it is important to use the same solution of HCl for the entire experiment so that we control the concentration and thus the number of moles as well. Hypothesis Rate of a reaction is directly proportional to the concentration of the reactants raised to some factor which is dependent on the type of the reaction. Also, since a higher concentration results in more number of reactant molecules per unit volume, it allows more effective collisions to take place and hence results in the faster formation of the product, I would expect a higher concentration to result in a higher rate of the reaction. A higher rate of reaction would mean that the solution would turn cloudy more quickly and thus the cross would disappear even faster. Thus as the concentration increases I would expect the time it takes for the cross to disappear to reduce. Diagram (Courtesy: http://www.sciencephotolibrary.com/images/showFullWatermarked.html/A710024Rates_of_reaction_experiment-SPL.jpg?id=657100024) At the beginning At the end Method Apparatus list Conical flask 3 100ml beakers 3 25ml measuring cylinder Filter paper with a cross marked on it Blotting paper Stop watch Reagent list 150ml 0.20M hydrochloric acid 150ml 0.10M sodium thiosulphate 150ml distilled water Take a clean measuring cylinder and measure 25ml of hydrochloric acid and pour it into the conical flask placed on the crossed filter paper. Take another measuring cylinder and measure 25ml of sodium thiosulphate. Pour it into the conical flask and simultaneously start the stop watch. Be careful while pouring one solution in another and avoid splashing. Measure the time it takes for the cross to disappear. However, care must be taken that one must view the cross consistently from a position vertically above the solution. Any other position would result in erroneous readings. Repeat the procedure but instead of using 25.0ml of 0.20M hydrochloric acid use 20.0ml and add 5.0ml distilled water to it. The time should be measured with the same procedure. Perform the same thing for 15.0ml of HCL and 10.0ml of water and 10.0ml of HCL and 15.0ml of water. The results should be tabulated and graphed Data Collection Raw Data Uncertainty in amount of HCl added = ±0.1ml Uncertainty in time measured (only systemic) = ±0.01s Reading 1 2 3 4 Data Processing Amount of HCL (ml) 25.0 ± 0.1 20.0 ± 0.1 15.0 ± 0.1 10.0 ± 0.1 Time taken (s) 65.43 ± 0.01 74.92 ± 0.01 85.36 ± 0.01 103.12 ± 0.01 The time that we measure can be used as a measure of the rate of the reaction. Since, the more time we take the slower is the reaction; the relationship between reaction rate and time is inversely proportional. Thus 1/T would be a good way to approximate the rate of the reaction. However, while calculating this we need to account for not only systemic errors but also random ones. Although the uncertainly due to systemic error is about ±0.01s, 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 𝑣𝑎𝑙𝑢𝑒 − 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 𝑣𝑎𝑙𝑢𝑒 2 the uncertainty due to random errors can be much higher. There is no simple way to calculate it. We can only make an approximation. Since the inaccuracy due to random error is way larger compared to that of systemic error, we can ignore systemic error altogether and take into consideration only the random error. To a great deal of accuracy the time that we measure would have an uncertainty of no less than ±1.00 seconds. Therefore, tabulating the results, Reading 1 2 3 4 Time (s) 65.43 ± 1.00 74.92 ± 1.00 85.36 ± 1.00 103.12 ± 1.00 Rate of the reaction: 1/T (s-1) 0.01528 ± 0.00023 0.01334 ± 0.00023 0.01172 ± 0.00023 0.00970 ± 0.00023 Please note that although the uncertainties decrease as time increases I have accounted for the highest uncertainty possible. Since the uncertainties in time are approximate, this assumption is fair. The second parameter that we are measuring is the concentration. This is fairly easy to measure as we know the uncertainties in measurement and there are fewer chances for random errors. The concentrations can be calculated by using the following equation: 𝐶𝑜𝑛𝑐 𝑜𝑓 𝑆𝑜𝑙𝑢𝑡𝑖𝑜𝑛 = (𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝐻𝐶𝑙 𝑎𝑑𝑑𝑒𝑑) ∗ (𝐶𝑜𝑛𝑐 𝑜𝑓 𝐻𝐶𝑙) (𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝐻𝐶𝑙 + 𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝐷𝑖𝑠𝑡𝑖𝑙𝑙𝑒𝑑 𝑤𝑎𝑡𝑒𝑟) Accounting for the uncertainties we get the following data Reading 1 2 3 4 Amount of HCl (ml) 25.0 ± 0.1 20.0 ± 0.1 15.0 ± 0.1 10.0 ± 0.1 Conc of HCl (mol/dm3) 0.20 ± 0.01 0.16 ± 0.01 0.12 ± 0.01 0.08 ± 0.01 Therefore, the data after calculation is: Reading 1 2 Rate of the reaction: 1/T (s-1) 0.01528 ± 0.00023 0.01334 ± 0.00023 Conc of HCl (mol/dm3) 0.20 ± 0.01 0.16 ± 0.01 3 4 0.01172 ± 0.00023 0.00970 ± 0.00023 0.12 ± 0.01 0.08 ± 0.01 Graphing (with error bars) Concentration of HCl being an independent variable should be on the x axis and the rate of the reaction measured as 1/T should be on the y axis as it is the dependent variable. Rate of the reaction vs Concentration Rate of the reaction -s-1 0.016 0.015 0.014 0.013 0.012 0.011 0.01 0.009 0.008 0.05 0.1 0.15 Concentration of HCl 0.2 0.25 -mol/dm3 The above mentioned graph shows a linear relationship between the concentration of HCl added and the rate of the reaction. The black line indicates this and passes between the errors bars; not going outside them. The blue line connects the readings using a curve. Thus the readings compliment the hypothesis. Conclusion and Evaluation This experiment helps establish that the rate of the reaction increases with an increase in concentration. This is shown within the limits of accuracy by both the graph and the data. Although, we were slightly lucky in approximating the value of random errors that occur while measuring time; a more accurate approach would have been to repeat the experiment a few times and take the mean to get an approximation for the amount of random errors that occur. Rate of the reaction vs Concentration Rate of the reaction -s-1 0.016 y = 0.0459x + 0.0061 0.015 0.014 0.013 0.012 0.011 0.01 0.009 0.008 0.05 0.1 0.15 Concentration of HCl 0.2 0.25 -mol/dm3 Also, as shown by the equation of the tread line, the intercept is not zero. This suggests that even at a zero concentration of HCl we still have a positive value for the rate of the reaction. This is not true. Therefore, it is not very wise to conclude anything from the gradient of the curve. Moreover, the linear relationship that holds true for these set of points may not hold true as we move to lower concentration of HCl. It is important to be aware of these possible limitations of the data that we have collected. Improvements Variable Time Unit Seconds (s) Time Seconds (s) Sources Improvement/s In the above mentioned experiment we approximated the value of the random error. Although, it turned out be fairly accurate, to be on the safer side we can perform the experiment thrice and take the mean of the uncertainties to get a measure of the random errors Another error that creeps in while we are measuring time is that caused by the human eye. It is difficult to maintain uniformity while measuring the moment at which the cross disappears. An instrument like a colorimeter might help do this more accurately. Heinemann IB Chemistry textbook http://www.123helpme.com/view.asp?id=48253