# Physics

posted by .

Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume of a cavern is 5.60 105 m3, and the pressure of the air in it is 8.40 106 Pa. Assume that air is a diatomic ideal gas whose internal energy U is given by U = 5/2 nRT. If one home uses 14.0 kWh of energy per day, how many homes could this internal energy serve for one day?

• Physics -

Well, PV=nRT, so U= 5/2PV.

That will be in Joules. To convert to kWh (kJ3600sec), divide by 1000, then divide by 3600. That will be the energy in kWh of stored energy.

## Similar Questions

1. ### Physics

A bicycle tire whose volume is 4.1 x 10-4 m3 has a temperature of 296 K and an absolute pressure of 4.69 x 105 Pa. A cyclist brings the pressure up to 6.75 x 105 Pa without changing the temperature or volume. How many moles of air …
2. ### physics

Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume of a cavern is 5.60 105 m3, and the pressure of the air in it is 8.40 106 Pa. Assume that air is a diatomic ideal gas whose internal …
3. ### physics

Air (a diatomic ideal gas) at 30.0°C and atmospheric pressure is drawn into a bicycle pump that has a cylinder with an inner diameter of 2.50 cm and length 70 cm. The down stroke adiabatically compresses the air, which reaches a gauge …
4. ### physics

Air (a diatomic ideal gas) at 30.0°C and atmospheric pressure is drawn into a bicycle pump that has a cylinder with an inner diameter of 2.50 cm and length 70 cm. The down stroke adiabatically compresses the air, which reaches a gauge …
5. ### physics

Air (a diatomic ideal gas) at 30.0°C and atmospheric pressure is drawn into a bicycle pump that has a cylinder with an inner diameter of 2.50 cm and length 70 cm. The down stroke adiabatically compresses the air, which reaches a gauge …
6. ### physics

Air (a diatomic ideal gas) at 30.0°C and atmospheric pressure is drawn into a bicycle pump that has a cylinder with an inner diameter of 2.50 cm and length 70 cm. The down stroke adiabatically compresses the air, which reaches a gauge …
7. ### physics

Compressing gases requires work and the resulting energy is usually converted to heat; if this heat does not escape, the gas's temperature will rise. This effect is used in diesel engines: The compressed air gets so hot that when the …
8. ### physics

a room that measures 10.o ft wide, 32.0 ft long, and 8.00 ft high needs a certain amount of air pumped into it per minute to keep the air quality up to regulations. If the room needs completly new air every 20.0 minutes, whjat is the …
9. ### Physics

In a fully surfaced submarine, a certain amount of air at temperature T1 is compressed into a tank of volume V at pressure p1 . As this submarine dives deeply, the temperature of the compressed air drops substantially to T2 , whereas …
10. ### chemistry

The figure shows a cube of air at pressure 1.0 atm above a hot surface on Earth. Contact with the hot surface causes the volume of the air to expand from 2.00 × 105 L to 2.20 × 105 L by the transfer of 8.2 × 106 J of heat. Assume …

More Similar Questions