Name ______

Date ______

Homework- Problem Solving Set

(1)The bathtub in the residential suite of the White House had to be enlarged for Warren G. Harding. He weighed 185 kg (370 lbs.). (Burp.) The bathtub is 1.3 m wide, 1.8 m long and 0.91 m high. How many liters of water are needed to fill the WGH Memorial Bathtub?

(2)Concentrated sulfuric acid is 1.84 kg/L. What is the mass of 500 mL of sulfuric acid?

(3)Water is leaking unnoticed from a container in the chemical storage room at a rate of 1.2 mL/hour. If this rate does not change, how many liters of water will be lost in a week? Will this be devastating to the storage room?

(4)You and your family are deciding to take a trip to North Carolina (450 miles) to visit your relatives. How much would it cost to drive (one way) if your car averages 20 miles/gal of gas, and the gas costs $3.30/gallon?

(5)A TUMS antacid tablet weighs 1.265 g, most of which is filler. Each tablet contains 500 mg of the active ingredient, calcium carbonate.

  1. What is the percent, by weight, of calcium carbonate, in each tablet?
  1. What weight of calcium carbonate is needed to make 50 tablets?
  1. How many tablets can be made from 15.0 g of calcium carbonate?

(6)Your sibling, who is in college, plans to spend $30.00 per week on food. If they do not want to spend more than 20.0% of their take-home pay on food, what would be their minimum weekly take-home pay?

(7)A chemistry teacher working at a golf camp during the summer found a liquid, which caused him to slice ball after ball into the water without disturbing him at all. He thought that this was an important liquid to identify so he set out to determine its density. He found that a sample of the liquid had a mass equal to 455 golf balls and occupied a volume of 620 water cups that he obtained at the 7th hole. Each golf ball massed 50 g and the water cups at the 7th hole of the golf course held 45 mL each. What is the density of the unknown liquid?

(8)A Monaca High School senior was applying to college and wondered how many applications she needed to send. Her advisor explained that with the excellent grade she received in chemistry she would probably be accepted to one school out of every three to which she applied. [3 applications = 1 acceptance] She immediately realized that for each application she would have to write 3 essays, [1 application = 3 essays] and each essay would require 2 hours of work [1 essay = 2 hours]. Of course writing essays is no simple matter. For each hour of serious essay writing, she would need to expend 500 calories [1 hour = 500 calories] which she could derive from her mother’s apple pies [1 pie = 1000 calories]. For every three times she cleans her room, her mother makes her an apple pie. How many times would she have to clean her room in order to gain acceptance to 10 colleges?

(9)How many inches are in 3 miles, if there are 5, 280 feet in one mile?

(10)A light year is a measure of distance. It is the distance light travels in one year at the rate of 186,000 miles per second. Each star of the big dipper is a different distance from earth. The star closest to the earth, Megrez (last star of the cup), is 63 light-years away. Calculate the distance in miles.

(11)Pluto is the last planet in our solar system and the farthest away from earth; some 3, 473, 000,000 miles away. Calculate Pluto’s number of light-years away from the earth. Is it farther away from the earth than the nearest star (Megrez, problem 10)?

Conversions Factors
1 hr = 60 min / 7 days = 1 week
24 hrs = 1 day / 264.2 gal = 1 cubic meter
1 mi = 5,280 ft / 20 drops = 1 mL
365 days = 1 year / 1 L = 1000 mL
0.625 mi = 1.00 kM / 1 L = 1000 cc

(12)

  1. How many miles will a person run during a 10 kilometer race?
  1. The moon is 250,000 miles away. How many feet is it from earth?
  1. Lake Michigan holds 1.3 x 1015 gallons of water. How many liters is this?
  1. Pepsi puts 355 ml of pop in a can. How many drops is this? How many cubic meters is this?
  1. Chicago uses 1.2 x 109 gallons of water /day. How many gallons per second must be pumped from the lake every second to supply the city?