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Ideal Gas Law

Three gas laws that describe the behavior of gases as revealed by experimental observations are:

Boyle's Law: V1P1=V2P2 at constant T and n

Charles's Law: V1T2=V2T1 at constant P and n

Avogadro's Law: V1n2=V2n1 at constant T and P

These relationships, which show how volume of a gas depends on pressure, temperature, and number of mles of gas present, can be combined as followed: V= R(Tn/P) where R is the combined proportionality called the universal gas constant. When the pressure is expressed in atmospheres and the volume in liters, R has the value 0.08206 L*atm/K*mol. The preceding equation can be rearranged to the more familiar form of the ideal gas law: PV=nRT.

1. A gas has a pressure of 3.2 atm and occupies a volume of 45 L. What will the pressure be if the volume is compressed to 27L at constant temperature?

2. The volume of a gas (held at constant pressure) is to be used "as a thermometer." If the volume at 0.0 degrees C is 75.0 cm^3 what is the temperature when the measured volume is 56.7 cm^3?

3. If a 16.6 L sample of gas contains 9.2 moles of F2, how many moles of gas would there be in a 750 mL sample at the same temperature and pressure?

4. A 11.2 sample of gas id determined to contain 0.50 moles of N2. At the same temperature and pressure how many moles of gas would there be in a 20 L sample?

5. Consider a 3.57 L sample of an unknown gas at a pressure of 4.3 x 10^3 Pa. If the pressure is changed to 2.1 x 10^4 Pa at a constant temperature, what will the new volume of the gas be?

6. Calculate the volume occupied at 87.0 degrees C and 950 torr by a quantity of gas which occupied 20.0 L at 27.0 degrees C and 570 torr.

7. A quantity of gas at 27.0 degrees C is heated in a closed vessel until the pressure is doubled. To what temperature is the gas heated?

8. A sample of gas occupies 3.8 L at 15 degrees C and 1.00 atm. What does the temperature need to be for the gas to occupy 8.3 L at 1.00 atm?

9. Calculate the volume of 02 present in a sample containing 0.89 moles of 02 at a temperature of 40degrees C and a pressure of 1.00 atm.

10. A sample containing 0.35 mol argon gas at a temperature of 13 degrees C and a pressure of 568 torr is heated to 56 degrees C and a pressure of 897 torr. Calculate the change in volume that occurs.

(Basically, my situation is that I have never taken the prerequisites to be in Chemistry Ap, and also I came in late into the school year as well so I really dont have a clue of whats going on. So the teacher gave me this worksheet on the side, which is something the class has already discussed during the beginning of the school year. I need help since I do not know how to do this, and I dont really want you all to just give mem the answers, but help me understand how to do them. They're due tomorrow and I'm a little clueless, so if you can please help me I'd really appreciate it.)

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