Exam 19: Ideal Gases

A cylinder containing 5.00 mol of nitrogen gas is at room temperature (300 K).If the volume of the gas container is held constant and the gas is heated,such that 1.46 * 10⁴ J of energy is transferred by heat to the gas,what is the increase in the temperature of the nitrogen?

Uranium has two isotopes U²³⁸ and U²³⁵.Enriched uranium,with a greater fraction of U²³⁵ required by nuclear reactors,is synthesized by first forming the compound UF₆ in the gaseous form and then allowing it to pass through a porous medium.The two isotopes are then separated by diffusion which depends on the rms speeds of the molecules.Given the mass of a fluorine atom is 19 amu,masses of U²³⁵ and U²³⁸ atoms are 235.043924 amu and 238.050785 amu,respectively,the ratio of the rms speeds of the two uranium hexafluoride molecules is

Three moles of an ideal gas are held at a constant volume of 4 liters.The change in pressure if the temperature increases by 100 ^$\circ$ C is

Air in an engine cylinder is quickly compressed from an initial temperature of 10 ^$\circ$ C,an initial pressure of 1.0 atmosphere,and an initial volume of 250 cm³ to a final volume of 30 cm³.Assuming the air to be an ideal diatomic gas,find the final temperature of the air.

A gas expands at constant pressure from 3 liters at 15 ^$\circ$ C until the temperature is 151 ^$\circ$ C.What is the final volume of the gas?

A cylindrical drinking glass with diameter 8.6 cm and height 25 cm is inverted and carefully lowered into a tank of water.If no air is allowed to escape from the glass as it is submerged,what is the height of the air column in the glass when the glass is 2.0 m below the surface of the water?

A gas is in a closed container of volume 35 cm³.If its temperature is initially 278 K,by how much do you need to change the temperature in order to increase its pressure from the initial 1 atm to 1.2 atm?

If a gas is in equilibrium at 19 ^$\circ$ C and is then heated to 38 ^$\circ$ C,what is the ratio of the average molecular speed to its previous value?

The diameter of an oxygen molecule is about 0.3 nm.What is the mean free path at 300 K and 100 kPa?

The higher the humidity in the air the more water vapor is present in the atmosphere.As the humidity increases,what happens to the density of air?

Two identical containers hold equal masses of oxygen in one and nitrogen in the other.The gasses are held at the same temperature.How does the pressure of oxygen compare to that of nitrogen?

The diameter of an oxygen molecule is about 0.3 nm.If the pressure is atmospheric pressure and the mean free path is 1.0 $\mu$ m,what is the temperature?

A cylinder with a piston contains 2.00 liters of an ideal monatomic gas at 1.00 atm and 275 K.The gas is subject to an adiabatic compression and its pressure increases to four times its initial pressure.What is the volume after the compression?

If,while the temperature is kept constant,the pressure of a diatomic gas doubles,the average kinetic energy of the molecules

A cylinder containing 5.00 mol of nitrogen gas is at room temperature (300 K).If the pressure of the gas is held constant and the gas is heated,how much energy must be transferred by heat to the gas to increase its temperature by 100 K?

One hundred grams of liquid argon is sealed inside of a 2.0 liter container.After the liquid argon turns into a gas and the gas reaches a temperature of 0.0 degrees Celsius,what is the pressure inside the container due to the liquid argon?

The specific heat of an ideal gas at constant pressure is never

At standard atmospheric pressure,at what temperature is the total kinetic energy of a bottle containing 0.15 mol of neon equal to that of a major league pitcher's fastball (0.145 kg ball travelling at 95 mph)?

The specific heat of steam (M = 18 g/mol)at constant volume is 2.5 kJ/kg K.Given R = 8.31 J/mol .K,the specific heat at constant pressure is

A piston with a volume of 24 liters contains 3.0 moles of argon.It is heated from 20 degrees Celsius to 178 degrees Celsius,and the piston is allowed to expand during the heating process so that the pressure on the gas remains constant.How much heat must be added to the gas to heat it?