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be tires since you didnโt have enough to form all the completed cars. The excess reagent is the number of reactants left after a reaction is completed which in this case would be the extra 10 car bodies. However, when the limiting reagent runs out in a chemical equation, we use something called theoretical yield to find the maximum number of products produced. Although, itโs more like a predictable amount of product based on the smallest number of moles from stoichiometric calculations. The other yields obtained from the reaction are called the actual yield and percent yield. The actual yield is the true amount for product produced by the chemical reaction. Itโs always equal or less than the theoretical yield due to small amounts of product leaving the reaction or not forming any products at all. The percent yield is the actual yield over theoretical yield times 100. Solving the experiment using stoichiometry needs an example. Letโs say 5 ml of 1 M NaOH and 0.75 M CaCl 2 are mixed. The mole formula and other equations would be used: ๐๐๐๐๐ถ๐ถ๐๐๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 = (0.00500๐ฟ๐ฟ)(0.75 ๐๐๐๐๐ถ๐ถ/๐ฟ๐ฟ) โ 0.0038 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 ๐๐๐๐๐ถ๐ถ๐๐๐๐ ๐๐๐๐ ๐๐๐ถ๐ถ๐๐๐ป๐ป = (0.00500๐ฟ๐ฟ)(1.0 ๐๐๐๐๐ถ๐ถ/๐ฟ๐ฟ) = 0.0050๐๐๐๐๐ถ๐ถ ๐๐๐ถ๐ถ๐๐๐ป๐ป 0.0038 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 โ 1 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 /1 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 = 0.0038 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 0.0050 ๐๐๐๐๐ถ๐ถ ๐๐๐ถ๐ถ๐๐๐ป๐ป โ 1 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 /2 ๐๐๐๐๐ถ๐ถ ๐๐๐ถ๐ถ๐๐๐ป๐ป = 0.0025 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 The limiting reactant would be NaOH due to having less product. The excess reactant would be CaCl 2 for having more product. For this experiment to be solved without using stoichiometry, you need to use test tubes and some paper. Each test tube filled with specific amounts of CaCl 2 and NaOH has water filled filter paper so they can react. The reaction gives off precipitate that you save by putting the papers in an oven. By testing each filtrate with CaCl 2 and NaOH. If the test tube goes cloudy after adding more of the compounds, then it has a limiting reagent. If nothing happens, then it has an excess reagent.
Calculations and Discussion:
Multiply the number of moles Ca(OH) 2 has by its molar mass to get theoretical yield: ๐๐โ๐๐๐๐๐๐๐๐๐๐๐๐๐๐๐ถ๐ถ๐ถ๐ถ ๐ฆ๐ฆ๐๐๐๐๐ถ๐ถ๐ฆ๐ฆ = (0.002 ๐๐๐๐๐ถ๐ถ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 ) ๏ฟฝ74.08 (^) ๐๐๐๐๐๐๐ถ๐ถ๏ฟฝ = 0.148๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 ๐๐โ๐๐๐๐๐๐๐๐๐๐๐๐๐๐๐ถ๐ถ๐ถ๐ถ ๐ฆ๐ฆ๐๐๐๐๐ถ๐ถ๐ฆ๐ฆ = (0.0035 ๐๐๐๐๐ถ๐ถ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 ) ๏ฟฝ74.08 (^) ๐๐๐๐๐๐๐ถ๐ถ๏ฟฝ = 0.259๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 ๐๐โ๐๐๐๐๐๐๐๐๐๐๐๐๐๐๐ถ๐ถ๐ถ๐ถ ๐ฆ๐ฆ๐๐๐๐๐ถ๐ถ๐ฆ๐ฆ = (0.005 ๐๐๐๐๐ถ๐ถ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 )^ ๏ฟฝ74.08 (^) ๐๐๐๐๐๐๐ถ๐ถ๏ฟฝ = 0.370๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 ๐๐โ๐๐๐๐๐๐๐๐๐๐๐๐๐๐๐ถ๐ถ๐ถ๐ถ ๐ฆ๐ฆ๐๐๐๐๐ถ๐ถ๐ฆ๐ฆ = (0.007 ๐๐๐๐๐ถ๐ถ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 ) ๏ฟฝ74.08 (^) ๐๐๐๐๐๐๐ถ๐ถ๏ฟฝ = 0.518๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 Theoretical yield for each experiment of NaOH:
0.01 ๐๐๐๐๐ถ๐ถ ๐๐๐ถ๐ถ๐๐๐ป๐ป โ 1 2 ๐๐ ๐๐๐๐๐ถ๐ถ๐๐๐ถ๐ถ^ ๐ถ๐ถ๐ถ๐ถ ๐๐(๐ถ๐ถ๐๐๐ป๐ป๐๐๐ป๐ป) 2 = 0.005 ๐๐๐๐๐ถ๐ถ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2 ๐๐โ๐๐๐๐๐๐๐๐๐๐๐๐๐๐๐ถ๐ถ๐ถ๐ถ ๐ฆ๐ฆ๐๐๐๐๐ถ๐ถ๐ฆ๐ฆ = (0.005 ๐๐๐๐๐ถ๐ถ๐๐๐๐) ๏ฟฝ74.08 (^) ๐๐๐๐๐๐๐ถ๐ถ๏ฟฝ = 0.370๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ(๐๐๐ป๐ป) 2
Test #3: ๐๐๐๐๐ถ๐ถ๐๐๐๐ ๐๐๐๐ ๐๐๐ถ๐ถ๐๐๐ป๐ป ๐ถ๐ถ๐๐๐๐๐๐ โ 0.005 โ 2 ๐๐๐๐๐ถ๐ถ ๐๐๐ถ๐ถ๐๐๐ป๐ป/1 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 = 0.01 ๐๐๐๐๐ถ๐ถ ๐ธ๐ธ๐ธ๐ธ๐๐๐๐๐๐๐๐ ๐๐๐๐๐ถ๐ถ๐๐๐๐๐๐๐๐ = ๐ผ๐ผ๐๐๐๐๐๐๐๐๐ถ๐ถ๐ถ๐ถ ๐ด๐ด๐๐๐๐๐ด๐ด๐๐๐๐ ๐๐๐๐ ๐๐๐ถ๐ถ๐๐๐ป๐ป โ ๐ด๐ด๐๐๐๐๐ด๐ด๐๐๐๐ ๐ถ๐ถ๐๐๐๐๐๐๐ด๐ด๐๐๐๐๐ฆ๐ฆ ๐๐๐๐ ๐๐๐ถ๐ถ๐๐โ ๐ธ๐ธ๐ธ๐ธ๐๐๐๐๐๐๐๐ ๐๐๐๐๐ถ๐ถ๐๐๐๐๐๐๐๐ = 0.01 ๐๐๐๐๐ถ๐ถ โ 0.01 ๐๐๐๐๐ถ๐ถ = 0 ๐๐๐๐๐ถ๐ถ ๐ผ๐ผ๐๐ ๐๐๐๐๐ถ๐ถ๐๐๐๐: 0 ๐๐๐๐๐ถ๐ถ โ ๐๐๐๐๐ถ๐ถ๐ถ๐ถ๐๐ ๐๐๐ถ๐ถ๐๐๐๐ ๐๐๐๐ ๐๐๐ถ๐ถ๐๐๐ป๐ป ๏ฟฝ (^80) ๐๐๐๐๐๐๐ถ๐ถ๏ฟฝ = 0๐๐ Test #4: (The limiting reagent for this test switches from NaOH to CaCl 2 so instead of finding the amount of NaOH, we find the amount of CaCl 2 ):
๐๐๐๐๐ถ๐ถ๐๐๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 ๐ถ๐ถ๐๐๐๐๐๐ โ 0.01 โ 1 ๐๐๐๐๐ถ๐ถ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 /2 ๐๐๐๐๐ถ๐ถ ๐๐๐ถ๐ถ๐๐๐ป๐ป = 0.005๐๐๐๐๐ถ๐ถ ๐ธ๐ธ๐ธ๐ธ๐๐๐๐๐๐๐๐ ๐๐๐๐๐ถ๐ถ๐๐๐๐๐๐๐๐ = ๐ผ๐ผ๐๐๐๐๐๐๐๐๐ถ๐ถ๐ถ๐ถ ๐ด๐ด๐๐๐๐๐ด๐ด๐๐๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 โ ๐ด๐ด๐๐๐๐๐ด๐ด๐๐๐๐ ๐ถ๐ถ๐๐๐๐๐๐๐ด๐ด๐๐๐๐๐ฆ๐ฆ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 ๐ธ๐ธ๐ธ๐ธ๐๐๐๐๐๐๐๐ ๐๐๐๐๐ถ๐ถ๐๐๐๐๐๐๐๐ = 0.007 ๐๐๐๐๐ถ๐ถ โ 0.005 ๐๐๐๐๐ถ๐ถ = 0.002 ๐๐๐๐๐ถ๐ถ ๐ผ๐ผ๐๐ ๐๐๐๐๐ถ๐ถ๐๐๐๐: 0.002 ๐๐๐๐๐ถ๐ถ โ ๐๐๐๐๐ถ๐ถ๐ถ๐ถ๐๐ ๐๐๐ถ๐ถ๐๐๐๐ ๐๐๐๐ ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ๐ถ 2 ๏ฟฝ (^110) ๐๐๐๐๐๐๐ถ๐ถ๏ฟฝ = 0.22๐๐
Theoretical yield: 0.005 mol
The limiting reagent in the experiment would be NaOH. The calculations based on the experiment prove it due CaCl 2 produces more moles that NaOH at the last test. In the experiment, the amount of CaCl 2 was the same for each test tube. Due to putting the same amounts of NaOH and CaCl 2 in each test tube, the mass or theoretical yield of the product grew more and more. It started to plateau in the beginning because the theoretical yield using CaCl 2 was produces less product, making it the limiting reagent. As the mass increases, the theoretical yield using CaCl 2 surpassed the theoretical yield using NaOH switching the limiting reagent to NaOH.
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Mass of Ca(OH)
2 (g)
Volume of CaCl 2 (mL)