What is the volume of a gas at 0.43 atm, if it had a volume of 720 mL at a pressure of 698 mm Hg?

0.337L or 333mL

Explanation:

P1 = 0.43atm

V1 = 720mL = 0.72mL

P2 = 698mmHg

To solve this question, we'll have to convert one of the unit of pressure so that our answer can be correct.

1atm = 760mmHg

X atm = 698mmHg

X = (698 × 1) / 760

X = 0.918atm

Data:

P1 = 0.43atm

P2 = 0.918atm

V1 = 0.72L

V2 = ?

Applying Boyle's law which states that the pressure of a fixed mass of gas is inversely proportional to its volume provided that temperature remains constant,

Mathematically,

P = k / V, k = PV

P1 × V1 = P2 × V2 =Pn×Vn

P1 × V1 = P2 × V2

V2 = (P1 × V1) / P2

V2 = (0.43 × 0.72) / 0.918

V2 = 0.3096 / 0.918

V2 = 0.337L

The final volume of the gas is 0.337L

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