At 3 atm pressure the volume of gas is 1200ml. What pressure is required to reduce the volume of the gas to 300ml if the temperature remains constant

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 P1V1=P2V2.

Given

V1=200mL*1L1000mL=0.2 L

P1=700 mmHg

V2=100mL*1L1000mL=0.1 L

Unknown

P2

Equation

P1V1=P2V2

Solution

Rearrange the equation to isolate P2 and solve.

P2=P1V1V2

P2 = (700mmHg*0.2L) 0.1L=1400 L, which must be rounded to 1000 L because all of the measurements have only one significant figure.