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# Lab : Gases, Pressure and Stoichiometry

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These are the initial conditions of the closed flask with just the sodium carbonate inside. Assume that the sodium bicarbonate powder takes up a negligible volume in the flask.
(a) Initial pressure (atm): 1.072 atm
(b) Initial gas volume (mL): 139.72 mL
(c) Initial temperature (C): 21C
These are the final conditions of the closed flask:
(a) Final pressure (atm): 2.405 atm
(b) Final gas volume (mL): 131.92mL
(c) Final temperature (C): 21 C

1. Use the initial conditions and the ideal gas law to calculate the number of moles of air molecules (N2, O2, etc.) trapped in the flask. The gas constant, R = 0.082057 (L*atm)/(K*mole), so make sure to convert your temperature value to Kelvin.

2. The final conditions represent the air and CO2 from the reaction held in a smaller volume than at the start. Calculate the total moles of air and CO2 molecules from the ideal gas law, using the final conditions of pressure, volume and temperature. Record the total moles here.

3. Subtract the moles of air (from the initial conditions) from the total moles of gas at the end to find the moles of CO2 produced by the reaction.Record the moles of CO2 gas produced by the reaction:

4. You now have enough information to balance the equation: NaHCO3(s) + HCl(aq) --> CO2(g) + H2O(l) + NaCl(aq)
Calculate the following:
(a) Moles of NaHCO3 added to the flask (MW=84.007 g/mol):
(b) Moles of CO2 produced
(c) The ratio of (moles of CO2) divided by (moles of NaHCO3)
(d) What is the nearest whole number ratio for your experimentally-determined ratio? For example, if the experimental ratio is 1.75, then you would use a whole number ratio of 2 to 1. If the experimental ratio is 3.2, then you would use a whole number ratio of 3 to 1.
(e) Use the whole number ratio to balance the equation for the reaction. If your whole number ration is 2 to 1, then place a 2 next to the CO2 and a 1 next to the NaHCO3. Continue from there to balance the number of atoms on each side of the equation. Write the balanced equation here:
(f) Calculate the experimental error from the difference between the experimental ratio and the whole number ratio as follows:
% error = |real ratio - whole number ratio| / (whole number ratio) * 100%

5. (a) Could you boil off the liquid at the end of the experiment and weigh the NaCl left in the flask in order to balance the equation?
(b) Air usually contains water vapor. The air trapped in the flask was dry air with no water vapor. How would the presence of water vapor affect your calculations?
(c) Carbon dioxide is slightly soluble in water and its solubility increases with increasing pressure. How would the fact that some of the carbon dioxide produced by the reaction is dissolved in the aqueous solution affect your calculations?

##### Solution Summary

Stoichiometric calculations relating to a reaction that produces a gas are illustrated. Results are obtained from the PV = nRT reaction. Mole ratios of reactants and products are also investigated.

##### Solution Preview

These are the initial conditions of the closed flask with just the sodium carbonate inside. Assume that the sodium bicarbonate powder takes up a negligible volume in the flask.
(a) Initial pressure (atm): 1.072 atm
(b) Initial gas volume (mL): 139.72 mL
(c) Initial temperature (C): 21C
These are the final conditions of the closed flask:
(a) Final pressure (atm): 2.405 atm
(b) Final gas volume (mL): 131.92mL
(c) Final temperature (C): 21 C

1. Use the initial conditions and the ideal gas law to calculate the number of moles of air molecules (N2, O2, etc.) trapped in the flask. The gas constant, R = 0.082057 (L*atm)/(K*mole), so make sure to convert your temperature value to Kelvin.

Use PV = nRT (all units must match units of R)

R = 0.082057 (L*atm)/(K*mole)
P = 1.072 atm
V = 139.72 mL x (1 L/1000 mL) = 0.13972 L
T = 21 C = 21 + 273 = 294 K

n = PV/RT = (1.072 atm x 0.13972 L)/(0.082057 (L*atm)/(K*mole) x 294 K) = 0.00621 moles

2. The final conditions represent the air and CO2 from the reaction held in a smaller volume than at the start. Calculate the total moles of air and ...

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