A gas initially has a volume of 300. mL at a pressure of 1.0 atm, what will the
new volume be if the pressure is doubled? (assume constant temperature)
The new pressure will be 1000 L , rounded to one significant figure. Explanation: Boyle's law states that when a gas is held at a constant temperature and mass in a closed container, the volume and pressure vary inversely. The equation to use is P 1 V 1 = P 2 V 2 . Given V 1 = 200 mL × 1 L 1000 mL = 0.2 L
P 1 = 700 mmHg
V 2 = 100 mL × 1 L 1000 mL = 0.1 L
Unknown P 2
Equation P 1 V 1 = P 2 V 2
Solution Rearrange the equation to isolate P 2 and solve. P 2 = P 1 V 1 V 2
P 2 = ( 700 mmHg × 0.2 L ) 0.1 L = 1400 L , which must be rounded to 1000 L because all of the measurements have only one significant figure.
