BOYLE’S LAW Problem Solving Use this equation: P1V1 = P2V2 Problem #1: 2.00 L of a gas is at 740.0 mmHg pressure. What is its volume at standard pressure? Problem #2: 10.0 L of a gas is at 2.16 atm. What pressure is obtained when the volume is 20.0 L? Problem #3: A gas occupies 24. 6 liters at a pressure of 80.0 mmHg. What is the volume when the pressure is increased to 120 mmHg? Problem #4: If a gas at 50.0 ̊C occupies 5.50 liters at a pressure of 2.00 atm, what will be its volume at a pressure of 4.50 atm? Problem #5: A gas occupies 11.2 liters at 0.860 atm. What will be the pressure if the volume becomes 15.0 L? ANSWERS Problem #1: 3.00 L of a gas is at 30.0 mmHg pressure. What is its volume at standard pressure of 760.0 mmHg? 1) Use this equation: P1V1 = P2V2 2)Insert values: (30.0 mmHg) (3.00 L) = (760.0 mmHg) (x) 3) Multiply the left side and divide (by 760.0 mmHg) to solve for x. x = 0.118 L (to three significant figures) Problem #2: 10.0 L of a gas is at 2.16 atm. What pressure is obtained when the volume is 20.0 L? Solution: Use the same technique as in Example #1: (2.16 atm) (10.0 L) = (x) (20.0 L) x = 1.08 atm (to three sig figs) Problem #3: A gas occupies 24. 6 liters at a pressure of 80.0 mmHg. What is the volume when the pressure is increased to 120 mmHg? Solution: (80.0 mmHg) (24.6 liters) = (120 mmHg) (x) X= 16.4 L (Note three significant figures) Problem #4: If a gas at 50.0 ̊C occupies 5.50 liters at a pressure of 2.00 atm, what will be its volume at a pressure of 4.50 atm? Solution: (2.00 atm) (5.50 liters) = (4.50 atm) (x) X= 2.44 L Problem #5: A gas occupies 11.2 liters at 0.860 atm. What will be the pressure if the volume becomes 15.0 L? Solution: (11.2 liters) (0.860 atm) = (x) (15.0 L) X= 0.642 atm