400.0 mL of a gas are under a pressure of 800.0 mmHG what would the volume of a gas be at a pressure of 1000.0 mmHg

The volume would be 0,318 L ( 318 ml)

Explanation:

We use Boyle Mariotte's formula: for a given mass of gas at constant temperature, the pressure and volume vary inversely proportionally. We convert the unit of pressure to mmHg in atm and the volume in ml into L.

760mmHg 1 atm

800mmHgx= (800mmHgx 1 atm)/760mmHg=1,05 atm

1000mmHg---x= (1000mmHgx 1 atm)/760mmHg=1,32 atm

450/1000= 0,45 L

P1xV1=P2xV2

V2= (P1xV1)/P2= (1,05atmx 0,4L)/1,32 atm=0,318 L