Exam 13: Temperature and the Ideal Gas

A nitrogen molecule has a diameter of about 0.29 nm.The mean free path of a nitrogen molecule in a tank of dry nitrogen at room temperature and standard pressure is about 0.10 $\mu$ m.A tank containing nitrogen at standard temperature and pressure has volume V.If the tank is compressed by means of a piston to 20% of its original volume,what is the mean free path for a nitrogen molecule under the new conditions?

0.500 moles of an ideal gas has a volume of 0.0100 m³ and a temperature of 300 K.What is the pressure of the sample of gas?

Compare two 1.0 L gas samples - one of hydrogen (molecular mass 2.0 u)and one of oxygen (molecular mass 16.0 u).Each sample contains the same number of molecules,and is at the same pressure.What is the ratio of temperatures of the oxygen sample to the hydrogen sample?

What is the root mean squared velocity of the nitrogen molecules in one mole of an ideal gas at a pressure of 1.50 atmospheres and a temperature of 20 $^{\circ}$ C? (N₂ = 28u)

The mass of 6 million atoms of a diatomic gas is 5.1 $\times$ 10^-19 kg.What is the atomic mass of this gas?

If the temperature changes by 36 $^{\circ}$ F,then what is the change in temperature in Celsius?