A spherical balloon filled with H₂ gas to a volume of 3.35x10-2 m³ at 17 °C is carefully lowered into the sea to a depth of 50 m, where the seawater temperature is about 12 °C. Assume the gas is always in thermal equilibrium with the surrounding seawater. The atmospheric pressure at the surface is Po = 1.013 x 105 N/m² and the specific gravity of the seawater is 1.03. [Answer in 3 significant figures] What is the gauge pressure 50 m below the sea surface? What is the radius of the balloon at 50 m below the sea surface? What is the buoyant force of the balloon at 50 m below the sea a) b) c) surface? d) What is the change in thermal energy of the gas from surface to 50 m below? (including correct sign)

A spherical balloon filled with H₂ gas to a volume of 3.35x10-2 m³ at 17 °C is carefully lowered into the sea to a depth of 50 m, where the seawater temperature is about 12 °C. Assume the gas is always in thermal equilibrium with the surrounding seawater. The atmospheric pressure at the surface is Po = 1.013 x 105 N/m² and the specific gravity of the seawater is 1.03. [Answer in 3 significant figures] What is the gauge pressure 50 m below the sea surface? What is the radius of the balloon at 50 m below the sea surface? What is the buoyant force of the balloon at 50 m below the sea a) b) c) surface? d) What is the change in thermal energy of the gas from surface to 50 m below? (including correct sign)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 39PQ

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