Deriving  and Using Ratio Relationships from Statements

Chemistry Unit 5: Chemical Quantities and Calculations                                                                   GIA 5-3
Working Mode: Pairs
                                                                                                          Reading: Chapter 3

Learning Objective: To convert a textual statement into a unit ratio that can be used in solving problems.  To understand density and percent as well as other mass fraction units as ratios. To understand that the numerator and denominator of ratios may contain two parts, number and unit or when dealing with a specific item three parts, number, unit and item.

Instructions:  Express the following relationships as ratio conversion factors. Write the ratio in both of the ways it can be used.   Identify the parts of the ratio: Underline the number, put a box around the unit and circle the item.

1.      There are 1,000,000 m in a Megameter.    

Student 1:  Identify the equality relationship between m and Mm.
Student 2:  Derive both unit ratios for the m and the Mm.
Student 1:  Underline the number parts of the ratio.
Student 2:  Box the unit parts of the ratio.

2.      One inch has exactly 2.54 cm.

Student 1:  Identify the equality relationship between in and cm. 
Student 2:  Derive both unit ratios for the in and the cm.
Student 1:  Underline the number parts of the ratio.
Student 2:  Box the unit parts of the ratio.
Student 1:  Determine how many inches 13.72 cm equals.
Student 2:  Determine how many centimeters 7 3/16  inches equals. 

3.      The tablet contains 45.65% by mass aspirin.  Express mass in kg 

Student 1:  Identify the equality relationship between mass of the aspirin and mass of the tablet.
Student 2:  Derive both unit ratios for the mass of the aspirin and the mass of the tablet.
Student 1:  How many mg of aspirin are in a 325 mg regular aspirin tablet?
Student 2:  What mass of tablet must a person take to get 300 mg aspirin?
 

4.      The sea water sample is 6.4 ppm by mass Hg.     

Student 1:  Identify the equality relationship between mass of the Hg and mass of the sea water.
Student 2:  Derive both unit ratios for the mass of the Hg and the mass of the sea water.
Student 1:  How many mg of Hg are in 1.00 kg of sea water?
Student 2:  How much sea water contains 3.2 micrograms of Hg? 

3.      The density of CCl4 is 1.65 g/mL.

Student 1:  Identify the equality relationship between mass of the CCl4 and volume of the CCl4.
Student 2:  Derive both unit ratios for the mass of the CCl4 and the volume of the CCl4.
Student 1:  What is the mass of 20.0 mL of CCl4?
Student 2:  What volume does 250. g CCl4 occupy?