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Solved: CP A balloon of volume 750 m3 is to be filled with
Chapter 18, Problem 63P(choose chapter or problem)
Problem 63P
CP A balloon of volume 750 m3 is to be filled with hydrogen at atmospheric pressure (1.01 X 105 Pa). (a) If the hydrogen is stored in cylinders with volumes of 1.90 m3 at a gauge pressure of 1.20 X 106 Pa, how many cylinders are required? Assume that the temperature of the hydrogen remains constant. (b) What is the total weight (in addition to the weight of the gas) that can be supported by the balloon if both the gas in the balloon and the surrounding air are at 15.0o C? The molar mass of hydro-gen (H2) is 2.02 g/mol. The density of air at 15.0o C and atmospheric pressure is 1.23 kg/m3.See Chapter 12 for a discussion of buoyancy. (c) What weight could be supported if the balloon were filled with helium (molar mass 4.00 g/mol) instead of hydrogen, again at 15.0o C?
Questions & Answers
QUESTION:
Problem 63P
CP A balloon of volume 750 m3 is to be filled with hydrogen at atmospheric pressure (1.01 X 105 Pa). (a) If the hydrogen is stored in cylinders with volumes of 1.90 m3 at a gauge pressure of 1.20 X 106 Pa, how many cylinders are required? Assume that the temperature of the hydrogen remains constant. (b) What is the total weight (in addition to the weight of the gas) that can be supported by the balloon if both the gas in the balloon and the surrounding air are at 15.0o C? The molar mass of hydro-gen (H2) is 2.02 g/mol. The density of air at 15.0o C and atmospheric pressure is 1.23 kg/m3.See Chapter 12 for a discussion of buoyancy. (c) What weight could be supported if the balloon were filled with helium (molar mass 4.00 g/mol) instead of hydrogen, again at 15.0o C?
ANSWER:Solution 63P
Step 1:
Given data:
Density of air is
Mass of hydrogen is
Mass of helium is
Volume of balloon
Acceleration due to gravity is
Atmospheric pressure of hydrogen
Universal real gas constant
Temperature of hydrogen