Ideal Gas Problems

Here's a cleaned up version of the problem sheet I handed out today with a bonus extra credit! Blogger doesn't like exponents, but I think it's pretty clear which ones are supposed to be exponents

The Ideal Gas Law uses the formula Pv = NkT

P = Pressure, measured in kilogram meters per seconds squared (kg/m*s2)
T = Temperature, measured in Kelvin
V = Volume, measured in cubic meters (m3)
N = The number of molecules in the gas
k = the Boltzmann Constant, or, 1.38 x 10-23 Joules per Kelvin (J/k) (Joules are kg*m2/s2)

1.) If N*k/V = 1 x 10-2, and the pressure of a gas is 15 kg/m*s2. What would the temperature be?

2. Using the gas from problem 1, how far would the temperature need to drop to reach 0 degrees Celsius?

3. Using the gas from problem 1, if the number of molecules is 1.5 x 1022, what would its volume be?

4. If you increase this volume by 1.5m, and the temperature remains the same, what does the pressure become?

Bonus Extra Credit Question: In Problem 4, Show in detail how we could cancel out all of our units so that we reach the metric unit for pressure.