Appendix I PROBLEM BANK

The following problems provide additional practice for solving equations and word problems. If you need help, look at the Math Skills Boxes on the referenced pages, where you will find solutions to similar problems.

Using Scientific Notation

(See Math Skills, page 15.)

1. The floor of a room measures 7.5 m by 6.0 m.

   1. What area of carpeting (in m²) would you need to cover the entire floor? Express your answer in scientific notation.

   2. What would the area be in cm²? (Hint: 10⁴ cm² = 1 m²).

   3. Suppose you want to tile the floor with square tiles that measure 30.5 cm on a side. How many tiles would you need? (Hint: Divide the total floor area by the area of a single tile.)

2. A mercury thermometer exchange program collected 1045 mercury thermometers in a month.

   1. If each thermometer contains 0.70 g of mercury, what is the total mass of mercury? Express your answer in scientific notation.

   2. A hazardous waste container holds 100.0 cm³. Can this container hold all of the mercury? (Hint: Find the volume by dividing the mass by the density of mercury, 11.3 g/cm³.)

The Combined Gas Law

(See Math Skills, page 80.)

1. The air in a bicycle tire is at a temperature of 11.0°C and a pressure of 542 kPa. What is the pressure in the tire if the temperature increases to 29.0°C while you ride the bicycle? Assume the volume of the tire does not change.

2. A helium tank holds 20.0 L of helium at a pressure of 3050 kPa. How many balloons can the tank fill if each balloon holds 2.0 L of gas at a pressure of 105 kPa? The balloons and the tank are both at room temperature. (Hint: Find the volume the helium in the tank would expand to if its pressure were reduced to 105 kPa. Then divide by the volume of one balloon.)

Formulas and Names for Compounds

(See Math Skills, page 174.)

1. Write the formulas for the ionic compounds lead(II) sulfide and lithium nitrate.

2. Name the molecular compounds with these formulas: NBr₃, SCl₂, and CCl₄.

3. Write the names for the ionic compounds FeCl₂ and FeCl₃.

Balancing Chemical Equations

(See Math Skills, page 195.)

Balance the following equations.

1. ${\mathrm{H}}_2 + {\mathrm{Cl}}_2 \to \mathrm{HCl}$

2. $\mathrm{Ca}(\mathrm{OH}{)}_2 + \mathrm{HCl} \to {\mathrm{CaCl}}_2 + {\mathrm{H}}_2\mathrm{O}$

3. $\mathrm{Fe} + {\mathrm{O}}_2 \to {\mathrm{Fe}}_3{\mathrm{O}}_2$

4. ${\mathrm{C}}_2{\mathrm{H}}_4 + {\mathrm{O}}_2 \to {\mathrm{CO}}_2 + {\mathrm{H}}_2\mathrm{O}$

Balancing Nuclear Equations

(See Math Skills, page 295.)

1. Write a balanced nuclear equation for the beta decay of bismuth-210.

2. Write a balanced nuclear equation for the alpha decay of polonium-214.

3. Determine the product for the alpha decay of uranium-234.

4. What is the product of the beta decay of phosphorus-30?

Measuring Speed

(See Math Skills, page 333.)

1. A runner travels 3.0 kilometers in 24 minutes, then another 2.5 kilometers in 27 minutes, and finally 1.2 kilometers in 15 minutes. What is the runner's average speed?

2. A bus travels 140 km in 3.0 hours and then stops for a 30-minute rest stop. The bus then travels 120 km in 2.0 hours. What is the average speed for the entire trip?

3. A plane's average speed for a 300.0-km trip is 550 km/h. How long did the flight take?

Measuring Acceleration

(See Math Skills, page 346.)

1. During a crash, a bicycle racer moving at 17 m/s comes to a complete stop in 1.5 seconds. Calculate the bicycle's deceleration.

2. A ball is thrown straight up into the air. It comes to a rest at the highest point after 2.0 seconds. How fast was it going when it was thrown upward?

Newton's Second Law

(See Math Skills, page 367.)

1. A truck with a mass of 2200 kg accelerates when the traffic light turns green. If the net force on the truck is 3500 N in the forward direction, what is the truck's acceleration?

2. A bicycle with its rider has a total mass of 95 kg. If the bicycle accelerates at a rate of 2.0 m/s², what is the net force acting on the bicycle?

3. What net force is needed to accelerate a 9000-kg truck at the rate of 2.0 m/s²?

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