1. Oxygen gas inside a 1.5 L gas tank has a pressure of 0.95 atm. Provided that the temperature remains constant, how much pressure is needed to reduce its volume by %? 2. A scuba diver needs a diving tank in order to provide breathing gas while he is underwater. How much pressure is needed for 6.00 liters of gas at1.01 atmospheric pressure to be compressed in a 3.00 liter cylinder?

University Physics Volume 2
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ISBN:9781938168161
Author:OpenStax
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Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 59P: Two moles of helium gas axe placed in a cylindrical container with a piston. The gas is at room...
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To further investigate the relationship between the pressure and volume of gas at
constant temperature, try to solve these problems in a separate sheet of paper using this
Boyle's Law formula:
V,P, =V,P2
Sample Problem:
The inflated balloon that slipped from the hand of Renn has a volume of 0.50 L at sea
level (1.0 atm) and it reached a height of approximately 8 km where the atmospheric
pressure is approximately 0.33 atm. Assuming that the temperature is constant, compute for
the final volume of the balloon.
Initial Conditions
V = 0.50 L
P = 1.0 atm
Final Conditions
V = ?
P = 0.33 atm
V,P, = V,P2
P2 = V, P, / V2
= (0.50 L)(1.0 atm) /(0.33L)
= 1.5 L
Problems:
1. Oxygen gas inside a 1.5 L gas tank has a pressure of 0.95 atm. Provided that the
temperature remains constant, how much pressure is needed to reduce its volume by ½?
2. A scuba diver needs a diving tank in order to provide breathing gas while he is
underwater. How much pressure is needed for 6.00 liters of gas at1.01 atmospheric
pressure to be compressed in a 3.00 liter cylinder?
Transcribed Image Text:Let Us Do To further investigate the relationship between the pressure and volume of gas at constant temperature, try to solve these problems in a separate sheet of paper using this Boyle's Law formula: V,P, =V,P2 Sample Problem: The inflated balloon that slipped from the hand of Renn has a volume of 0.50 L at sea level (1.0 atm) and it reached a height of approximately 8 km where the atmospheric pressure is approximately 0.33 atm. Assuming that the temperature is constant, compute for the final volume of the balloon. Initial Conditions V = 0.50 L P = 1.0 atm Final Conditions V = ? P = 0.33 atm V,P, = V,P2 P2 = V, P, / V2 = (0.50 L)(1.0 atm) /(0.33L) = 1.5 L Problems: 1. Oxygen gas inside a 1.5 L gas tank has a pressure of 0.95 atm. Provided that the temperature remains constant, how much pressure is needed to reduce its volume by ½? 2. A scuba diver needs a diving tank in order to provide breathing gas while he is underwater. How much pressure is needed for 6.00 liters of gas at1.01 atmospheric pressure to be compressed in a 3.00 liter cylinder?
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