### Module Two-Part F: Unit Analysis Problems       10 points

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):

(1) How many karats is a diamond weighing 234.2 mg? (One karat = 0.200 g)

### The Question:

____???____ karat = 234.2 mg

### Given Unit Factors

• 1 karat = 0.200 g

### Unit Factors Not Given

• 1 g = 1000 mg

(2) 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 \$4.50 per pack over the next 15 years, how many years of average life would a person lose for smoking 1.5 packs a day for 15 years?

### The Question:

____???____ yrlifelost = 15 yrsmoking

### Given Unit Factors

• 1 cig = 8 minlifelost
• 1 pack = 20 cig
• 1 pack = 4.50 dollars
• 1 day = 1.5 packsmoking

### Unit Factors Not Given

• 1 yr = 365 days (or 365.25 days)
• 1 day = 24 hr
• 1 hr = 60 min

### Module Two-Part H: Density, Specific Gravity & Volume Problems 10 points

1. A quartz rock was cut into a rectangular solid paperweight. IF the paperweight has a mass of 165 g and measures 5.00 cm by 5.00 cm by 25.0 mm, what is its volume in cubic centimeters?

### The Question:

____???____ cm3 = 5.00 cm X 5.00 cm X 25.0 mm

2. Calculate the density in g/mL for 10.0 grams of ethyl ether having a volume 14.0 mL.

### The Question:

Density = ____???____ g/m = 10.0 g/14.0 mL