Question

To what volume must 175 L of air at 1.0 atm be compressed to yield a pressure of 5.2 atm? (You can assume constant temperature.

Answer 1

Using the ideal gas law, for a constant temperature, pV = constant (also known as Boyle's Law)
(1 atm)(175 L) = (5.2 atm)(V) = constant
V = 33.7 L

Answer 2

The volume upto which a gas can be compressed at 5.2 atm pressure is 33.65 L.

Step-by-step explanation:

Under constant temperature:

Initial volume of the gas
`V_1=175 L`

Initial pressure of the gas =
`P_1=1.0 atm`

Final volume of the gas
`V_2=?`

Final pressure of the gas =
`P_2=5.2 atm`

Applying Boyle's law:

`P_1V_1=P_2V_2` (constant temperature)

`V_2=(1.0 atm* 175 L)/(5.2 atm)=33.65 L`

The volume upto which a gas can be compressed at 5.2 atm pressure is 33.65 L.