Question

A container of gas has a volume of 3.5 L and a pressure of 0.8 atm. Assuming the temperature remains constant, what volume of gas would result if the pressure was 0.5 atm?

A. 1.8 L
B. 5.6 L
C. 0.2 L
D. 2.2 L

Answer 1

5.6 L

Step-by-step explanation:

We are given;

• Initial volume, V1 = 3.5 L
• Initial pressure, P1 = 0.8 atm
• Final pressure, P2 = 0.5 atm

We are required to calculate the final volume;

• According to Boyle's law, the volume of a fixed mass of a gas and the pressure are inversely proportional at a constant temperature.

• That is; P α 1/V
• Mathematically, P=k/V
• At two different pressure and volume;

P1V1 = P2V2

In this case;

Rearranging the formula;

V2 = P1V1 ÷ P2

= (0.8 atm × 3.5 L) ÷ 0.5 atm

= 5.6 L

Therefore, the resulting volume is 5.6 L