Question

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

Answer 1

40 atm

Step-by-step 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;
  `P\alpha (1)/(V)`

• 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