1. Liverpool played 38 games and obtained 84 points in a particular season. You obtain no points for losing a game, one point for drawing a game and three points if you win a game. If Liverpool won twice as many games as they lost, how many games did they win, draw and lose?
2. Consider a series of integers that are all positive and all of the numbers are taken to be less than 125. There are 43 differences between adjacent numbers in this series defined as, . Can you prove that some value of the differences (which must also be positive integers) must occur at least 10 times?
3. Jane is walking her dog, Spot. She sees her friend, Dick, walking toward her along the same long, straight road. Both Dick and Jane are walking at 3 mph. When Dick and Jane are 600 feet apart, Spot runs from Dick to Jane, turns and runs back to Dick, and then back and forth between them at a constant speed of 8 mph. Dick and Jane both continue walking toward each other at a constant 3 mph. Neglecting the time lost each time Spot reverses direction, how far has Spot run in the time it takes Dick and Jane to meet?

What do you think of Socrates’ conclusion that no person knowingly does evil, and therefore, all evil is ignorance?
Do you agree or disagree, and why? If you disagree, state why.
Part 2
If people accepted that all evil is ignorance, what implications would that have on the justice system?
How would prison sentencing or the death penalty be affected?
Discuss with 2 or more classmates their opinions and whether or not you agree or disagree with their statements.

1. A 10.0 cm radius piston compresses a gas isothermally from a height of 15.0 cm to 2.50 cm at a constant pressure of 2.0 atm.
a) How much heat was added to the gas?
b) Now if 7000 J of heat is added to the system and the piston is only moves 5.0 cm up, what is the change in the internal energy of the system is the pressure is again constant at 2.0 atm?
2. Sketch a PV diagram for the following process:
a) A 2.0 L gas undergoes an isovolumetric increase in pressure from 1.0 atm to 2.0 atm
b) An isothermal compression from 2.0 atm and 2.0 L to 1.0 atm and 1.0 L
c) An isobaric compression from 2.0 L to 1.0 L
3. An ideal gas expands at a constant total pressure of 2.5 atm from 3.45 L to 6.70 L. Heat then flows out of the gas at constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value. Calculate:
a) the total work done by the gas in the process
b) the total heat flow into the gas.
4. Heat flows into an ideal gas at a constant volume. The pressure increases from 1.5 atm to 5.5 atm. Next the gas is compressed at constant pressure from 5.0 L to 2.5 L and goes back to its original temperature.
a) What is the total work done on the gas in the process?
b) What is the total change in internal energy?
c) What is the total heat flow of the process?