A container filled with an ideal gas is connected to a reservoir of the same gas so that the number of moles in the container can change. If the pressure and volume of the container are each doubled while the temperature is held constant, what is the ratio of the final to the initial number of moles in the container?

A gas chamber is to be designed to separate two gases with the following specifications: Hot gas temperature 1145°C Cold gas temperature 45°C Hot gas heat transfer coefficient 230 W/m² K Cold gas heat transfer coefficient 290 W/m² K Metal wall thermal conductivity 115 W/m K If the maximum temperature of the wall on the hot side does not exceed 545°C, using thermal resistance concept, what thickness should the metal wall between the hot gas and cold gas be in mm?

A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3   a. What is the density of air inside the balloon, in terms of the pressure P, temperature T, molar mass M, and the gas constant R?  b. How much mass can this balloon lift (in addition to the mass of the gas inside) in terms the balloon volume Vb, the atmosphere air density ρa, the density of the air in the balloon ρg, and the gravitational acceleration g?  c.  If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.

A lottery machine uses blowing air to keep 2000 Ping-Pong balls bouncing around inside a 1.0m×1.0m×1.0m box. The diameter of a Ping-Pong ball is 3.0 cm. What is the mean free path between collisions? Give your answer in cm.

A cubical box with sides of length 0.221 m contains 1.310 moles of neon gas at a temperature of 314 K. What is the average rate (in atoms/s) at which neon atoms collide with one side of the container? The mass of a single neon atom is 3.35x10-26 kg. Number i Units

Oxygen with mass of m1=6 g and temperature T1=300 K is in a container under  pressure p1= 9.66·105 Pa. If an unknown gas with mass m2= 3 g and temperature T2=330 K is placed in the same container, then the gas is under pressure p2=9·105 Pa. Find the molar mass of the unknown gas.

The volume of an ideal gas is held constant. Determine the ratio P₂/P₁ of the final pressure to the initial pressure when the temperature of the gas rises (a) from 54 to 108 K and (b) from 35.0 to 66.5 °C. (a) P₂/P₁ = Number i (b) P2/P₁ = Number i Units Units

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A sealed cubical container contains helium gas at a temperature of 22.5°C. What is the average velocity of one of these helium atoms?  A helium atom has a mass of 6.64x10-27 kg kB = 1.38 x 10-23 J/K