Final Exam MATH Review
Problems
Answer each question using one of the following equations, if needed.
1. What is the density of CO gas if 0.196 g occupies a volume of 120 ml?
2. The mass of a newborn baby is 3.5 kilograms. What is the baby’s weight? (The acceleration due to
gravity at Earth’s surface is 9.8 m/s2.) Show your work.
3. A tow truck exerts a net horizontal force of 1050 N on a 760-kilogram car. What is the acceleration
of the car during this time? Show your work.
4.
Sodium reacts with chlorine gas to form sodium chloride. Write a balanced chemical equation for
the reaction, and find the mass of chlorine gas that will react with 96.6 g of sodium.
5. Bus A travels 275 m in 13 s. Bus B travels 290 m in 13 s. Both vehicles travel at constant speed.
How do the distance-time graphs for these two speeds differ?
6. A student collects 450. mL of HCL gas at a pressure of 100. kPa and a temperature of 17°C. What
is the volume of the HCl at 0°C and 101.3 kPa?
7. An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water
equal to 2 ml. The height of the water rose to 7 ml. If the mass of the stone was 25 g, what was its
density?
8. A 38-kilogram canoe broke free of its dock and is now floating downriver at a speed of 2.2 m/s.
What is the canoe’s momentum? Show your work.
10. A small engine causes a 0.3-kg model airplane to accelerate at a rate of 11 m/s2. What is the net
force on the model airplane? Show your work.
11.
When iron metal reacts with oxygen, the reaction can form Fe2O3. Write a balanced chemical
equation for this reaction, and find the number of moles of oxygen that are needed to form 6 mol
of Fe2O3.
Figure 13-1
9. In Figure 13-1, a force of 150 N is exerted on Piston 1 of the
hydraulic lift shown. What force will be exerted on Piston 2? Show
your work.
12. During a race, a runner runs at a speed of 6 m/s. 2 seconds later, she
is running at a speed of 10 m/s. What is the runner’s acceleration?
Show your work.
13. If an atom of tin has a mass number of 118 and an atomic number
of 50, how many neutrons are in its nucleus?
14. A balloon full of air has a volume of 2.75 L at a temperature of 18°C. With the same pressure,
what is the balloon’s volume at 45°C?
15. Most calcium atoms have an atomic number of 20 and a mass number of 40, but some calcium
atoms have a mass number of 48. What word could you use to describe these two kinds of calcium
atoms?
16. A delivery truck travels 18 blocks north, 10 blocks east, 2 blocks south, 3 blocks west, and 16
blocks south. What is the final displacement from the origin? Assume the blocks are equal length?
17. If an atom of an element has a mass number of 32 and 20 neutrons in its nucleus, what is the
atomic number of the element?
18. A sample of neon gas occupies a volume of 2.8 L at 1.8 atm. What will its volume be at 1.2 atm if
the temperature is held constant?
19. In the nucleus of an atom, there are 18 protons and 20 neutrons. What are the atomic number and
mass number of this isotope?
20. If you ride your bike at an average speed of 4 km/h and need to travel a total distance of 28 km,
how long will it take you to reach your destination? Show your work.
21. The dimensions of a brick that weighs 25 N are 0.19 m  0.07 m  m. What pressure does
the brick exert on the ground if it is resting on its largest face? Show your work.
22. Convert the following:
23. If an atom has 34 protons and 40 neutrons, what is its mass number?
24. A cross-country runner leaves school for a 10-mile run. They end their run at a Dairy Queen one
mile from school. What is the total distance they ran? What is their displacement?