Chapter 0/1 Problems
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1) A big cube is stacked on top of a small cube. The big cube is 0.2 m on a side. The small cube is 0.1 m on a side. The density of the material the cubes are made of is kg/l . What is the pressure exerted on the ground by the cubes? The acceleration of gravity is 9.81 m/s2.
Answer: Pa
For help see:
Book Chapter 0.3
Book Fig. 0.1
On-line example
2) If one wanted to run a reaction between molecular hydrogen and molecular oxygen in a liter flask to form 2 moles of water, what partial pressure of oxygen would be required? (Assume all reactants and products are ideal gases at 25 C).
Answer: atm
on-line tutorial
on-line example
Book Chapter 0.5
3) If we were to isothermally compress an ideal gas from liters to 2 liters resulting in a final pressure of 6 atm, what was the original pressure?
Book Chapter1.2
4) At a temperature of C, what is the mean speed of molecular oxygen in the atmosphere?
Answer: m/s
Book Example 1.3
Book/CD Chapter1.5
5) At a temperature of C and 1 atm, what is the mean free path of carbon dioxide gas?
Answer: nm
Book/CD Chapter1.8
6) Using the Van der Waals equation and assuming a pressure of atm and a volume of 25 liters what is the temperature of 1 mole of carbon dioxide gas (use a and b values in Table 1.6 in the book)?
Answer: K
Book Equation 1.23
Book Chapter1.13
7) ml of liquid helium is left over after an experiment in a 10 liter dewar (an insulated container for very cold liquids) and then left on the bench. Unfortunately, the student had absent-mindedly sealed the dewar completely, leaving no vent for excess pressure to escape as the helium vaporized. It sits for a couple of days until it reaches 25 C and all of the helium has been converted to gas (the dewar is insulated, but heat slowly leaks in through the walls). What is the pressure inside the dewar when the temperature reaches 25 C (assume that helium gas behaves ideally). The density of liquid helium is about 0.7 g/ml. The molecular weight of helium gas is 4.
8) If the molecular weight (molar mass) of an ideal gas is 28 at K and 1 atm, what is its density?
Answer: g/l
9) If we make the assumption that the speed of sound is proportional to the average speed that molecules travel in a gas, what should the ratio be between the speed of sound in helium and that in nitrogen (air is mostly nitrogen) at 1 atm and C?
Answer:
Book Chapter1.5
10) Calculate the number of molecules in a liter of air at 1 atm and C.
Answer: molecules
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