Question

under a pressure of 1.0 atm , a confined gas has a volume of 750mL. at constant temperature, the pressure is increased until the gas has a volume of 610 mL. what is the new pressure

Answer 1

Answer:

1.23 atm

Explanation:

Given data

• Initial pressure (P₁): 1.0 atm

• Initial volume (V₁): 750 mL

• Final pressure (P₂): to be calculated

• Final volume (V₂): 610 mL

For a gas sample, there is an inverse relationship between the pressure and the volume, that is, when the pressure is increased, the volume decreases. Mathematically, for  an ideal gas at constant temperature, we can find the final pressure using Boyle's law.

$P_1 \times V_1 = P_2 \times V_2\\P_2 = \frac{P_1 \times V_1}{V_2} = \frac{1.0atm \times 750mL}{610mL}=1.23 atm$