How would you separate into its components (a) a homogeneous solution of table salt and water? (b) sand from gasoline? (c) carbon dioxide gas from butane gas?

A waterbed filled with water has the dimensions $8.0 \mathrm{ft} \times 7.0 \mathrm{ft} \times 0.75 \mathrm{ft}$. Taking the density of water to be $1.00 \mathrm{~g} / \mathrm{cm}^3$, how many kilograms of water are required to fill the waterbed?

A solid with an irregular shape and a mass of $11.33 \mathrm{~g}$ is added to a graduated cylinder filled with water $(d=$ $1.00 \mathrm{~g} / \mathrm{mL}$ ) to the $35.0-\mathrm{mL}$ mark. After the solid sinks to the bottom, the water level is read to be at the $42.3-\mathrm{mL}$ mark. What is the density of the solid?

A metal slug weighing $25.17 \mathrm{~g}$ is added to a flask with a volume of $59.7 \mathrm{~mL}$. It is found that $43.7 \mathrm{~g}$ of methanol $(d=0.791 \mathrm{~g} / \mathrm{mL})$ must be added to the metal to fill the flask. What is the density of the metal?

The egg whites from four "large" eggs occupy a volume of $112 \mathrm{~mL}$. The mass of the egg whites from these four eggs is $1.20 \times 10^2 \mathrm{~g}$. What is the average density of an egg white from one "large" egg?

The cup is a measure of volume widely used in cookbooks. One cup is equivalent to $225 \mathrm{~mL}$. What is the density of clover honey (in grams per milliliter) if three quarters of a cup has a mass of $252 \mathrm{~g}$?

In the old pharmaceutical system of measurements, masses were expressed in grains. There are $5.760 \times 10^3$ grains in $1 \mathrm{lb}$. An old bottle of aspirin lists $5.000$ grains of active ingredient per tablet. How many milligrams of active ingredient are there in the same tablet?

In Europe, nutritional information is given in kilojoules $(\mathrm{kJ})$ instead of nutritional calories (1 nutritional calorie $=$ $1 \mathrm{kcal})$. A packet of soup has the following nutritional information:

$$250 \mathrm{~mL} \text { of soup }=235 \mathrm{~kJ}$$

How would that same packet be labeled in the United States if the information has to be given in nutritional calories per cup? (There are $4.18$ joules in one calorie and 2 cups to a pint.)

The area of the 48 contiguous states is $3.02 \times 10^6 \mathrm{mi}^2$. Assume that these states are completely flat (no mountains and no valleys). What volume, in liters, would cover these states with a rainfall of two inches?

Some states have reduced the legal limit for alcohol sobriety from $0.10 \%$ to $0.080 \%$ alcohol by volume in blood plasma (a) How many milliliters of alcohol are in $3.0 \mathrm{qt}$ of blood plasma at the lower legal limit? (b) How many milliliters of alcohol are in $3.0 \mathrm{qt}$ of blood plasma at the higher legal limit? (c) How much less alcohol is in $3.0 \mathrm{qt}$ of blood plasma with the reduced sobriety level?

Cholesterol in blood is measured in milligrams of cholesterol per deciliter of blood. If the unit of measurement were changed to grams of cholesterol per milliliter of blood, what would a cholesterol reading of $185 \mathrm{mg} / \mathrm{dL}$ translate to?

Classify the following as solution or heterogeneous mixture. (a) iron ore (b) chicken noodle soup (c) tears

A lap in most tracks in the United States is $0.25 \mathrm{mi}$ (English lap). In most countries that use the metric system, a metric lap is $0.40 \mathrm{~km}$. A champion marathon runner covers a mile in about $5.0 \mathrm{~min}$. How many minutes will the runner take to run an English lap? A metric lap?

A gasoline station in Manila, Philippines, charges $38.46$ pesos per liter of unleaded gasoline at a time when one U.S. dollar (USD) buys $47.15$ pesos (PHP). The car you are driving has a gas tank with a capacity of 14 U.S. gallons and gets 24 miles per gallon. (a) What is the cost of unleaded gasoline in Manila in USD per gallon? (b) How much would a tankful of unleaded gasoline for your car cost in USD? (c) Suppose that you have only PHP 1255 (a day's wage for an elementary school teacher) and the car's tank is almost empty. How many miles can you expect to drive if you spend all your money on gasoline?