**Module 2 Pretest Homework Packet**

**Part F: Unit
Analysis Problems 10 points (Work
any10)**

Apply the unit analysis method of
problem solving to each of the following (setup statement 1 pt, unit analysis
setup 3 pts, answer 1 pt with its proper unit)( If
greater than three significant figures round off to three significant figures):

**Problem 1**

An
oxygen molecule travels 975 mi/hr at room temperature. There are 5280 ft = 1
mi; 12 in = 1 ft, 2.54 cm = 1 in, 1.6 km = 1 mi, and 3600 sec = 1 hr. What is
the velocity in meters per second?

**Problem 2**

If one gram is equal to 15.4 grains. How many 5.00 grain
aspirin tablets may be made from 1.00 kilogram of aspirin?

**Problem 3**

A
parsec is the distance light travels in 3.26 years. Given the velocity of
light, 3.00 x 10^{8} m/sec, how many kilometers does light travel in
one parsec?

**Problem 4**

I have
1400 radio programs I want to put on an Apple Ipod.
Each program requires 5 megabytes of disk space. If there are
1024 megabytes in a gigabyte. How many gigabytes of disk space do I need
minimum to store all my programs on the IPod. The Mini-Ipod
holds only 4 gigabytes of recordings, could I use a
mini for my project?

**Problem5**

Find the mass in grains of a **325 milligram** aspirin tablet.

*(Given: 1.00 g = 15.4 grains)*

**Problem6**

Insurance statistics state that a person loses 8 minutes of average life for
each cigarette smoked. If there are 20 cigarettes in a pack and the average
cost of cigarette is $5.00 per pack over the next 25 years, how many years of
average life would a person lose for smoking 1.5 packs a day for 25 years?

**Problem7 **

What is the density of water in lb/ft^{3}, if the density of water at
25^{o}C is 1.00 g/ml?

*[Hint: There are 2.54 cm = 1 in (or 16.48 cm3
= 1 in ^{3}); 454 g = 1 lb ]*

**Problem8**

Calculate the velocity of a car traveling car traveling 65 miles/hr in ft/sec.

**Problem9**

How many milligrams does a 0.750 carat diamond weigh?

(Hint: 1 carat = 0.200 g)

**Problem10**

Diamond has a density of 3.513 g/cm^{3}. The mass of a diamond is often
measured in carats, 1 carat equaling 0.200 g. What is the volume of a 1.50 carat
diamond?

**Problem11**

Liquor used to be sold in fifths. A fifth is one fifth of a gallon. A gallon is
128 fluid ounces. Today liquor is sold in bottle sizes of 750 ml to equate to
the old fifth. If there are 946 ml in a quart, calculate the number of
milliliters in a fifth. How many milliliters difference is there in the
bottling?

**Additional Homework (not required) for your practice:**

**Corwin 7 ^{th} edition:**

**Page 59: #19 - #26**

**Problem 12**

1. On
July 23, 1983 Air Canada Flight 143, flying at 26,000 feet from Montreal to
Edmonton, ran out of fuel because the first officer ask
the mechanic for the conversion factor of mass to volume at Montreal. The
mechanic gave the first officer the answer 1.77 with no units. The plane had
7682 L of fuel at Montreal. The pilot knew he needed 22,300 kg of fuel to make
the trip. The mechanic's answer of 1.77 was pounds per liter not kilograms per
liter caused the error such that only 4917 L of fuel was added. If there are
2.205 pounds in a kilogram, how many liters of fuel were needed for the trip?
How many liters minimum of fuel should have been added at Montreal before
takeoff?

**Problem 13**

Before
1982 the US Mint cast penny coins from an alloy of copper and zinc. A 1980
Penny weighs 3.051 g and contains 2.898 g of pure copper. In 1982 the US Mint
stopped making copper pennies, because the price of copper was worth more than
the penny. The post 1982 penny contains only a layer of copper over zinc. A
1990 penny weighs 2.554 g and contains 2.490 g of zinc. If the mint melted down
one pound of 1980 pennies, how many 1990 pennies can be made from the total
copper from the 1980 pennies?

**Problems 14**

An
Olympic size swimming pool is 50.0 m long and 25.0 m wide. How many gallons of
water ( d = 1.0g/mL )are
needed to fill the pool to an average depth of 5.5 feet.

**Problem 15**

A
furniture factory needs 29.5 ft^{2} of fabric to upholster one chair. A
Europen supplier sends the fabric in bolts of exactly
200 m^{2}. What is the maximum number of chairs that can be upholstered
by three bolts of fabric. Hint: 1 m - 3.281 ft)?

**Problem 16**

My throw
away car gets 23.4 mi/gal and hold 70.1 L of gasoline. How far can I drive on a
tankful of gas?

If gas
cost $3.49/gal; how much does a tankful of gas cost?

If the
average speed on a trip is 92.2 km/hr, How many hours
may I drive the car on the trip before I run out of gas?