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- The density of polystyrene, a plastic commonly used to make CD cases and transparent cups, is 0.037 lbs/in3. Calculate the density in units of g/cm3.
Problem 105
Problem 107a
A large tanker truck for carrying gasoline has a capacity of 3.4⨉104 L. (a) What is the tanker's capacity in gallons?
Problem 107b
A large tanker truck for carrying gasoline has a capacity of 3.4⨉104 L. (b) If the retail price of gasoline is $3.00 per gallon, what is the value of the truck's full load of gasoline?
- A 1.0-ounce piece of chocolate contains 15 mg of caffeine, and a 6.0-ounce cup of regular coffee contains 105 mg of caffeine. How much chocolate would you have to consume to get as much caffeine as you would from 2.0 cups of coffee?
Problem 108
- When an irregularly shaped chunk of silicon weighing 8.763 g was placed in a graduated cylinder containing 25.00 mL of water, the water level in the cylinder rose to 28.76 mL. What is the density of silicon in g/cm3?
Problem 109
Problem 111a
Answer the following questions. (a) An old rule of thumb in cooking says: 'A pint's a pound the world around.' What is the density in g/mL of a sub-stance for which 1 pt = 1 lb exactly?
Problem 111b
Answer the following questions. (b) There are exactly 640 acres in 1 square mile. How many square meters are in 1 acre?
Problem 111c
Answer the following questions. (c) A certain type of wood has a density of 0.40 g/cm3. What is the mass of 1.0 cord of this wood in kg, where 1 cord is 128 cubic feet of wood?
Problem 111d
Answer the following questions. (d) A particular sample of crude oil has a density of 0.85 g/mL. What is the mass of 1.00 barrel of this crude oil in kg, where a barrel of oil is exactly 42 gallons?
Problem 112a
A bag of Hershey's Kisses contains the following information:
Serving size: 9 pieces = 41 g
Calories per serving: 230
Total fat per serving: 13 g
(a) The bag contains 2.0 lbs of Hershey's Kisses. How many Kisses are in the bag?
Problem 112c
A bag of Hershey's Kisses contains the following information: Serving size: 9 pieces = 41 g Calories per serving: 230 Total fat per serving: 13 g (c) How many Calories are in one Hershey's Kiss?
- Vinaigrette salad dressing consists mainly of oil and vinegar. The density of olive oil is 0.918 g/cm3, the density of vinegar is 1.006 g/cm3, and the two do not mix. If a certain mixture of olive oil and vinegar has a total mass of 397.8 g and a total volume of 422.8 cm3, what is the volume of oil and what is the volume of vinegar in the mixture?
Problem 113
- At a certain point, the Celsius and Fahrenheit scales 'cross,' giving the same numerical value on both. At what tempera-ture does this crossover occur?
Problem 114
- Imagine that you place a cork measuring 1.30 cm * 5.50 cm * 3.00 cm in water and that on top of the cork you place a small cube of lead measuring 1.15 cm on each edge. The density of cork is 0.235 g/cm3, and the density of lead is 11.35 g/cm3. Will the combination of cork plus lead float or sink?
Problem 115
- A calibrated flask was filled to the 25.00 mL mark with ethyl alcohol. By weighing the flask before and after add-ing the alcohol, it was determined that the flask contained 19.7325 g of alcohol. In a second experiment, 25.0920 g of metal beads were added to the flask, and the flask was again filled to the 25.00 mL mark with ethyl alcohol. The total mass of the metal plus alcohol in the flask was determined to be 38.4704 g. What is the density of the metal in g/mL?
Problem 116
- Brass is a copper–zinc alloy. What is the mass in grams of a brass cylinder having a length of 1.62 in. and a diameter of 0.514 in. if the composition of the brass is 67.0% copper and 33.0% zinc by mass? The density of copper is 8.92 g/cm3, and the density of zinc is 7.14 g/cm3. Assume that the den-sity of the brass varies linearly with composition.
Problem 117
Problem 118a
Ocean currents are measured in Sverdrups (sv) where 1 sv = 109 m3/s. The Gulf Stream off the tip of Florida, for instance, has a flow of 35 sv. (a) What is the flow of the Gulf Stream in milliliters per minute?
Problem 118b
Ocean currents are measured in Sverdrups (sv) where 1 sv = 109 m3/s. The Gulf Stream off the tip of Florida, for instance, has a flow of 35 sv. (b) What mass of water in the Gulf Stream flows past a given point in 24 hours? The density of seawater is 1.025 g/mL.
Problem 118c
Ocean currents are measured in Sverdrups (sv) where 1 sv = 109 m3/s. The Gulf Stream off the tip of Florida, for instance, has a flow of 35 sv. (c) How much time is required for 1 petaliter (PL; 1 PL = 1015 L) of seawater to flow past a given point?
Problem 119a
The element gallium (Ga) has the second-largest liquid range of any element, melting at 29.78 °C and boiling at 2204 °C at atmospheric pressure. (a) What is the density of gallium in g/cm3 at 25 °C if a 1 in. cube has a mass of 0.2133 lb?
Problem 119b
The element gallium (Ga) has the second-largest liquid range of any element, melting at 29.78 °C and boiling at 2204 °C at atmospheric pressure. (b) Assume that you construct a thermometer using gallium as the fluid instead of mercury and that you define the melting point of gallium as 0 °G and the boiling point of gallium as 1000 °G. What is the melting point of sodium chloride (801 °C) on the gallium scale?
- An 8.894 g block of aluminum was pressed into a thin square of foil with 36.5 cm edge lengths. (a) If the density of Al is 2.699 g>cm3, how thick is the foil in centimeters?
Problem 135
Problem 148
The Rankine temperature scale used in engineering is to the Fahrenheit scale as the Kelvin scale is to the Celsius scale. That is, 1 Rankine degree is the same size as 1 Fahrenheit degree, and 0 °R = absolute zero. (a) What temperature corresponds to the freezing point of water on the Rankine scale?
