A hot air balloon has a volume of 2000 m³ at 290 K. If the air temperature inside the balloon increases to 320 K, what is the new volume, assuming constant pressure? A gas occupies a volume of 10.0 L at a temperature of 300 K. If the gas is heated to 400 K, what is the new volume, assuming the pressure remains constant?

Two cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.

Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.

A 0.5 m3 container holds 50 mol of an unknown gas at a temperature of 25 °C. A piston is used to expand the volume of the chamber to 1.0 m3 without changing the temperature of gas.   What is the pressure in the container now (in kPa)?   The piston is again used to change the volume of the container (without changing the temperature). After doing so the pressure in the container is 496 kPa.   What is the volume of the container (in m3)?

A scientist measured the pressure of a sample of gas at various volumes. The temperature of the gas was kept constant. The data are shown below. Volume (cm) Pressure (kPa) 15 222 21 159 31 108 50 67 Temperature and Pressure What will happen to the pressure if the volume is increased to 75cm. O The pressure will decrease. O The pressure will remain the same. O There is no way to predict the pressure. O The pressure will increase. 22 23 24 25 26 27 28 29 30 31 1. here to search

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.

Problem 6: Suppose a 26.5°C car tire contains 3.5 mol of gas in a 32.5 L volume. Part (a) What is the gauge pressure, in atmospheres, in the car tire? Pg1 = Part (b) What will the gauge pressure be if you add a quantity of gas that had a volume of 2.00L when it was at atmospheric pressure and the same temperature as the tire? Assume the temperature returns to 26.5°C and the volume remains constant.

Four closed tanks, A, B, C, and D, each contain an ideal gas. The table gives the absolute pressure and volume of the gas in each tank. In each case, there is 0.17 mol of gas. Using this number and the data in the table, compute the temperature of the gas in each tank.

A gas is held in a container with volume 516 cm3. If the pressure of the gas inside the container is 100 kPa, what is the pressure of the gas, in the unit of kPa, when it is expanded to 733 cm3? Assume that the temperature of the gas does not change.

A sealed container with a lid of area 0.004 m2is filled with an ideal gas. The container and gas are allowed to reach thermal equilibrium with the surrounding air. If a 2000 N block is needed to keep the lid from being pushed off the container, what is the absolute pressure inside the container (the pressure compared to vacuum) ?