A simple thermometer is formed by taking a large spherical container of volume 1.13m³ and filling it with an ideal gas. Then, a U-shaped tube is attached that is very narrow so that very little fluid/gas can fit inside the tube. The tube has a small quantity of a fluid of density 1200kg/m³ placed in it. In equilibrium at room temperature - 21.9°C - the height of the fluid on both sides of the U-shaped tube are level. This is illustrated in the image below. What is the temperature of the gas in the spherical container when the left side of the fluid is 13.25cm higher than the right side of the fluid in the U-shaped tube? Atmospheric pressure is 101000Pa. °C

A simple thermometer is formed by taking a large spherical container of volume 1.13m³ and filling it with an ideal gas. Then, a U-shaped tube is attached that is very narrow so that very little fluid/gas can fit inside the tube. The tube has a small quantity of a fluid of density 1200kg/m³ placed in it. In equilibrium at room temperature - 21.9°C - the height of the fluid on both sides of the U-shaped tube are level. This is illustrated in the image below. What is the temperature of the gas in the spherical container when the left side of the fluid is 13.25cm higher than the right side of the fluid in the U-shaped tube? Atmospheric pressure is 101000Pa. °C

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 46AP: Review. In a water pistol, a piston drives water through a large tube of area A1 into a smaller tube...

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Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

Question

A simple thermometer is formed by taking a large spherical container of volume 1.13m³ and filling it with an ideal gas. Then, a U-shaped tube is attached that is
very narrow so that very little fluid/gas can fit inside the tube. The tube has a small quantity of a fluid of density 1200kg/m³ placed in it. In equilibrium at room
temperature - 21.9°C - the height of the fluid on both sides of the U-shaped tube are level. This is illustrated in the image below.
What is the temperature of the gas in the spherical container when the left side of the fluid is 13.25cm higher than the right side of the fluid in the U-shaped tube?
Atmospheric pressure is 101000Pa.
°C

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Step 1: calculation of pressure of 13.25 cm fluid column

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Step 2: writing the initial temperature and pressure of the gas in the spherical container

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Step 3: calculation of the final pressure of the gas in the spherical container

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Step 4: applying ideal gas law

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Step 5: calculation of final temperature

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