What volume of air at 25°C and 1.00 atm can he stored in a 10.0 L high-pressure air tank if compressed to 25°C and 175 atm? please show your work!

0.057 L

Explanation:

Data obtained from the question include:

Initial temperature (T1) = 25°C

Initial pressure (P1) = 1 atm

Initial volume (V1) = 10 L

Final temperature (T2) = 25°C

Final pressure = 175 atm

Final volume =.?

From the data obtained from the question, we can see that the temperature is constant. Therefore, we shall apply the Boyle's law equation to determine the new volume of air. This is illustrated below:

P1V1 = P2V2

1 x 10 = 175 x V2

Divide both side by 175

V2 = 10/175

V2 = 0.057 L

Therefore, the volume of air which can be stored when the tank is compressed is 0.057 L