DO NOW: 1)What are the four variables used to describe a gas DO NOW: 1)What are the four variables used to describe a gas? 2) If the volume of a gas decreased, the pressure of the would (increase/decrease)
After today you will be able to… Explain the effect on gas properties using Boyle’s Calculate an unknown pressure, temperature, or volume by solving algebraically
Boyle’s Law: Pressure and Volume Robert Boyle was the first person to study the pressure-volume relationship of gases. In 1662 Boyle proposed a law to describe this relationship.
“For a given mass of a gas at constant temperature, the volume of a gas varies inversely with pressure.”
Boyle’s Law: Pressure and Volume We can simplify this relationship by the formula: Where, P1, P2 = pressure in any unit (atm, kPa, mmHg), BUT they must match! V1, V2 = volume in any unit (usually, L or mL), BUT they must match! P1 V1 = P2 V2
Boyle’s Law: Example P1 V1=P2 V2 V2 180L = A gas has a volume of 30.0L at 150 kPa. What is the volume of the gas at 0.252 atm? P1= V1= P2= V2= 1 atm 150 kPa x P1 V1=P2 V2 = 1.5 atm 101.3 kPa 30.0L 0.252 atm ? (1.5 atm) (30.0L) = (0.252 atm) (V2) V2 = 180L
Questions? Practice Time!! Reaction on
DOL-Choose at least 2! Synthetic diamonds can be manufactured at pressures of 6.00 x 104 atm. If we took 2.00 liters of gas at 1.00 atm and compressed it to a pressure of 6.00 x 104 atm, what would the volume of that gas be? The highest pressure ever produced in a laboratory setting was about 2.0 x 106 atm. If we have a 1.0 x 10-5 liter sample of a gas at that pressure, then release the pressure until it is equal to 0.275 atm, what would the new volume of that gas be? 1.00 L of a gas at standard temperature and pressure is compressed to 473 mL. What is the new pressure of the gas?