Exam 18: Thermal Properties of Matter

At what temperature would the root-mean-square speed (thermal speed)of oxygen molecules be 13.0 m/s? Assume that oxygen approximates an ideal gas.The mass of one O₂ molecule is .The Boltzmann constant is .

If a certain sample of an ideal gas has a temperature of 109°C and exerts a pressure of on the walls of its container,how many gas molecules are present in each cubic centimeter of volume? The ideal gas constant is 8.314 J/mol • K and Avogadro's number is 6.022 × 10²³ molecules/mol.

An ideal gas is kept in a rigid container.When its temperature is 100 K,the mean-free-path of the gas molecules is λ.What will be the mean-free-path of the molecules at 400 K?

An ideal gas is at a pressure and occupies a volume 2.00 m³.If the gas is compressed to a volume 1.00 m³ while the temperature remains constant,what will be the new pressure in the gas?

What is the total translational kinetic energy in a test chamber filled with nitrogen (N₂)at and The dimensions of the chamber are The ATOMIC weight of nitrogen is 28.0 g/mol,Avogadro's number is 6.022 × 10²³ molecules/mol and the Boltzmann constant is 1.38 × 10^-23 J/K.

What is the mean free path for the molecules in an ideal gas when the pressure is 100 kPa and the temperature is 300 K given that the collision cross-section for the molecules of that gas is 2.0 × 10^-20 m²? The Boltzmann constant is ,Avogadro's number is ,and the ideal gas constant is =

An oxygen molecule falls in a vacuum.From what height must it fall so that its kinetic energy at the bottom equals the average energy of an oxygen molecule at 800 K? (The Boltzmann constant is ,the molecular weight of oxygen is 32.0 g/mol,and Avogadro's number is

How many moles of water (H₂O)molecules are in a 4.00 m³ container at a pressure and temperature 600°C? The ideal gas constant is = .

On a hot summer day,the temperature is 40.0°C and the pressure is 1.01 × 10⁵ Pa.Let us model the air as all nitrogen of molecular mass 28.0 g/mol having molecules of diameter that are moving at their root-mean-square speed.Avogadro's number is molecules/mol,the ideal gas constant is 8.31 J/mol • K,and the Boltzmann constant is .Calculate reasonable estimates for (a)the root-mean-square speed of the nitrogen molecules. (b)the average distance a typical molecule travels between collisions. (c)the average time a molecule travels between collisions,assuming that the molecules are moving at their root-mean-square speeds. (d)the number of collisions an average molecule undergoes per second.

The interior of a refrigerator has a volume of 0.600 m³.The temperature inside the refrigerator in 282 K,and the pressure is 101 kPa.If the molecular weight of air is 29 g/mol,what is the mass of air inside the refrigerator? The ideal gas constant is R = 8.314 J/mol • K = .

Which contains more moles of material: 80 grams of helium gas (He,having atomic weight 4.0 g/mol)or 400 grams of argon gas (Ar,having atomic weight 40 g/mol)?

For a fixed amount of gas,if the absolute temperature of the gas is doubled,what happens to the pressure of the gas?

The root-mean-square speed (thermal speed)for a certain gas at 100°C is 0.500 km/s.If the temperature of the gas is now increased to 200°C,the root-mean-square (thermal)speed will be closest to

The mean free path of an oxygen molecule is 2.0 × 10^-5 m,when the gas is at a pressure of 120 Pa and a temperature of 275 K.The atomic mass of oxygen is 16.0 g/mol,the Boltzmann constant is ,Avogadro's number is molecules/mole,and the ideal gas constant is .The radius of an oxygen molecule is closest to

2.0 L of a ideal nitrogen gas (N₂)are at 0.00°C and 1.0 atm.The ideal gas constant is = 0.0821 L • atm/mol • K,Avogadro's number is 6.022 × 10²³ molecules/mol,and the ATOMIC mass of nitrogen is 14 g/mol. (a)Determine the number of moles of N₂. (b)How many molecules of N₂ are present? (c)What is the mass of this gas?

A bag of potato chips contains 2.00 L of air when it is sealed at sea level at a pressure of 1.00 atm and a temperature of 20.0°C.What will be the volume of the air in the bag if you take it with you,still sealed,to the mountains where the temperature is 7.00°C and atmospheric pressure is 70.0 kPa? Assume that the bag behaves like a balloon and that the air in the bag is in thermal equilibrium with the outside air.(1 atm = 1.01 × 10⁵ Pa)

What is the mean free path of molecules in an ideal gas in which the mean collision time is ,the temperature is 300 K,and the mass of the molecules is ? Assume that the molecules are moving at their root-mean-square speeds.The Boltzmann constant is .

A 3.2-L volume of neon gas (Ne)is at a pressure of 3.3 atm and a temperature of 330 K.The atomic mass of neon is 20.2 g/mol,Avogadro's number is 6.022 × 10²³ molecules/mol,and the ideal gas constant is = .The mass of the neon gas is closest to

3.00 moles of an ideal gas at a pressure of 250 kPa are held in a container of volume of 25.0 L.The ideal gas constant is R = 8.314 J/mol • K = 0.0821 L ∙ atm/mol • K,and .The temperature of this gas is closest to

A cubic box with sides of 20.0 cm contains 2.00 × 10²³ molecules of helium with a root-mean-square speed (thermal speed)of 200 m/s.The mass of a helium molecule is 3.40 × 10^-27 kg.What is the average pressure exerted by the molecules on the walls of the container? The Boltzmann constant is and the ideal gas constant is =