Boyle’s Law There is an inverse relationship between the volume and pressure of a gas (if one increases the other decreases) If temperature is constant: PV = k where k is a constant P1V1=P2V2 KMT – decreasing the volume of a container will cause an increase in the number of collisions; thus an increase in pressure ANIMATION

F Multiple Choice iRespond Question As the pressure of a gas at 760 torr is changed to 380 torr at constant temperature, the volume of the gas A.) decrease Decrease Pressure, Increase Volume B.) increase C.) remain the same D.) E.)

Example 5.00 L of a gas is at 1.08 atm. What pressure is obtained when the volume is 10.0 L? P1V1 = P2V2 P1 = V1 = P2 = V2 = 1.08atm 5.00L (1.08atm)(5.00L) = P(10.0L) P = 0.54atm ? 10.0L

Example A sample of oxygen takes up 34 liters of space at standard pressure. When the pressure is changed to 340 kPa, find the new volume. P1V1 = P2V2 P1 = V1 = P2 = V2 = 101.3kPa 34L (101.3kPa)(34L) = (340kPa)V V = 10.13 L 340kPa ?

F Multiple Choice iRespond Question A gas sample has a volume of 25.0 millilters at a pressure of 1.00 atmosphere. If the volume increases to 50.0 milliliters and the temperature remains constant, the new pressure will be A.) 1.00 atm PV = PV (1.00atm)(25.0mL) = P(50.0mL) B.) 2.00 atm C.) 0.250 atm D.) 0.500 atm E.)

Do This Now! You are now wearing scuba gear and swimming under water at a depth of 66.0 ft. You are breathing air at 3.00 atm and your lung volume is 10.0 L. Your scuba gauge indicates that your air supply is low so, to conserve air, you make a terrible and fatal mistake: you hold your breath while you surface. What happens to your lungs? Why? PV = PV The pressure at the surface is standard (1atm) (3.00atm)(10.0L) = (1atm)V V = 30 L Your lungs will explode

A cylinder with a tightly fitted piston is shown in the diagram below. Multiple Choice F iRespond Question A.) decreases D.) B.) increases E.) C.) remains the same

A sample of gas is held at constant pressure A sample of gas is held at constant pressure. Increasing the kelvin temperature of this gas sample causes the average kinetic energy of its molecules to iRespond Question F Multiple Choice A.) decrease and the volume of the gas sample to decrease B.) decrease and the volume of the gas sample to increase C.) increase and the volume of the gas sample to decrease E.) D.) increase and the volume of the gas sample to increase