What pressure will be necessary to compress 2 liters of a gas at 1 atm to a volume of 0.05 liters if the temperature remains constant

Respuesta :

Answer:

40 atm

Explanation:

  • According to Boyle's law, the pressure and the volume of a fixed mass of a gas are inversely proportional at constant absolute temperature.
  • That is; [tex]P\alpha \frac{1}{V}[/tex]
  • At varying pressure and volume,

P1V1 =P2V2

In this case,

Initial volume, V1 = 2 L

Initial pressure, P1 = 1 atm

New volume, V2 = 0.05 L

We are required to calculate the new pressure,

Rearranging the formula;

P2 = P1V1 ÷ V2

     = (1 atm × 2L) ÷ 0.05 L

     = 40 atm

Therefore, the pressure required is 40 atm