Quiz: Applying empirical gas laws

1. A spacecraft with a cabin air volume of 50.00 m³ carries an emergency air tank with a volume of 0.250 m³. What pressure should the tank be filled to in order to repressurize the cabin to 1.00 atm if it has been completely evacuated?

50.3 atm

201 atm

5.00 x 10^-3 atm

4.98 x 10^-3 atm

200 atm

2. A new propulsion technology promises to place spacecraft into orbit cheaply using a powerful ground-based laser. The spacecraft's underside is a mirror with a rim. When the laser is focused on the bottom of the craft, the mirror concentrates the beam and superheats the air to between 1 x 10⁴ and 3 x 10⁴ °C. The air expands explosively, pushing the spacecraft into orbit. By what percent does the volume of air increase when heated from room temperature (25°C) to 2.0 x 10⁴°C? Assume air behaves like an ideal gas, and that the air's pressure doesn't change.

	1.5%		8100%
	81%		68%
	6800%		not enough information given

3. A mineshaft filled with air at 1.00 atm and 20.0°C is sealed to prevent the spread of a coal fire which will soon reach the bottom of the shaft. If the fire is expected to heat the air inside the shaft to 120°C, what will be the pressure inside the shaft, assuming that no air leaks out and that the volume of the shaft doesn't change?

	1.34 atm		not enough information given
	0.75 atm		6.00 atm
	0.167 atm

4. Scuba tanks are given a "Maximum Working Pressure" (MWP) rating that represents the highest pressure the tank can safely hold at a given temperature. Exceeding this pressure makes the person filling the tank legally liable to the diver who uses it if an accident occurs. In the U. S., the MWP for a tank with international Yoke valves and fittings is 207.0 bar at 20.0°C. If the tank is filled to 200.0 bar at 20.0°C, what is the maximum pressure the tank reaches if left under a tarp in a boat, if the tank temperature reaches 35.0°C?

350.0 bar

190.3 bar

206.7 bar

114.3 bar

5. A football is inflated to a pressure of 1.00 x 10³ Torr in a room at 25°C. If the game is played at 10°C, what will the pressure in the ball be, neglecting any volume change in the ball and assuming that it doesn't leak?

1.05 x 10³ Torr

950 Torr

400 Torr

2.5 x 10³ Torr

General Chemistry Online! Quiz: Empirical gas laws