Gas Laws Math n How Pressure much pressure
- Slides: 9
Gas Laws Math
n How Pressure much pressure is exerted when you apply 500 N of force on an area of 4 m 2? GIVEN: WORK: F= 500 N A= 4 m 2 P= ? F P A P = F/A P= 500/4 P = 125 k. Pa
n How Pressure much force is exerted when you apply 500 k. Pa of pressure on an area of 25 m 2? GIVEN: WORK: A= 25 m 2 P= 500 k. Pa F= ? F P A F = P·A F= 500 • 25 F = 12500 N
n If Boyle’s Law you have a tire with a volume of 2. 0 L and a pressure of 25 k. Pa and pressure dropped to 20 k. Pa what is the new volume? GIVEN: WORK: V 1= 2 L P 1= 25 k. Pa P 2=20 V 2 = ? (25)(2)=(20)(V 2) V 2 = (25)(2) 20 V 2 = 2. 5 L
Boyle’s Law n The clown she hired for $150 an hour blows up a balloon with a volume of helium occupies 111 L at 89 k. Pa. If the volume shrinks to 77 L, what will the new pressure be? GIVEN: n? V 1= 111 L P 1= 89 k. Pa P 2=? V 2 = 77 L WORK: (89)(111)= (P 2)(77) P 2 = 111 • 89 77 P 2 = 128. 29 k. Pa
Charles’s Law n If the expensive clown gets angry over the anchovy dip and he takes it out on the 6 L balloon that is at a temp of 23°C, his rage causes the balloon to heat up to 55°C, what will the volume of the balloon be? (don’t forget to covert to Kelvin) GIVEN: T 1= 23 °C V 1= 6 L T 2=55 °C V 2 = ? WORK: 6. 0 = V 2 23 55 V 2 = 6 • 55/23 V = 14. 3 L
Pascal’s Principle n A disgruntled cow that weighs 1000 N sits on a 5 m² piston. What force would need to be applied to a 2 m² piston? GIVEN: Platform: F = 1000 N A = 5 m 2 Plunger: F=? A = 2 m 2 WORK: 1000 N = F 2 5 m 2 2 m 2 (1000 N)(2 m 2)=(5 m 2)F 2 = 400 N
Pascal’s Principle n Ms. Stayners 1995 Honda Civic applies a force of 8200 N to a 16 m² piston. What force will be needed to lift the car with a. 8 m² piston? GIVEN: F 1= 8200 N A 1= 16 m² F 2= ? A 2 =. 8 m² WORK: 8200 N = 16 m 2 F 2. 8 m 2 (8200 N)(. 8 m 2)=(16 m 2)F 2 = 410 N
