A group of five students attempted to estimate 100 g of a substance by balancing

Question

A group of five students attempted to estimate 100 g of a substance by balancing the amount of the substance with a 100-g standard mass and obtained the following masses after each estimated amount was weighed: 95.8634 g, 80.8125 g, 106.5078 g, 98.2865 g, and 86.4453 g. Create a data table as shown below and use the data to determine the answers to the following questions. a) What is the mean? And what is the true value? b) What are the deviation and % deviation from the mean for each value? c) What are the error and % error for each value? How many significant figures are in the cm measurement of Rod A? How did you figure out how many decimal places to use in your answer? Why do you think that the beaker is not stamped with either TD or TC? Could you use a 100-mL volumetric flask to deliver 50.0 mL of a liquid? Explain. Which measuring devices could you use to transfer 50.0 mL of a liquid? Explain. Chefs often estimate the amount of ingredients needed for a dish. Do you think it

Explanation / Answer

Q4.

a)

average = sum(species) / total species = 93.5831

the "true" value should be 100 g

b)

STD dev = sqrt((x-u)^2/n) = 9.037765

% deviation = sted/avg * 100% = 9.037765/93.5831 *100 = 9.65 %

c)

error = (100-95.8634) = 4.1366

% error = 4.1366//100 * 100 = 4.1366 %

error = (100-80.8125) = 19.1875

% error = 19.1875//100 * 100 = 19.1875%

error = (100-106.5078) = 6.5078

% error = 6.5078//100 * 100 = 6.5078%

error = (100-98.2865) = 1.7135

% error = 1.7135//100 * 100 = 1.7135%

error = (100-86.4453) = 13.5547

% error = 13.5547//100 * 100 = 13.5547%

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