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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 22P

See similar textbooks

Related questions

Q: A container of water has a cross-sectional area of A = 0.1 m2 . A piston sits on top of the water…

Q: 18. The concentration gradient of oxygen is closest to .. 2.25 kg/m4 2.50 kg/m4 2.0 kg/m4 2.20 kg/m4

A: The concentration gradient is the difference of concentration per unit length.

Q: The pressure of a sample of gas is measured at sea level with an open-end mercury manometer. Assumin…

Q: Some amount of a gas has a density of 1.60 kg/m³ at an absolute pressure of 95.0 kPa. What is the…

Q: A Venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a…

Q: Blood plasma (at 37.0°C) is to be supplied to a patient at the rate of 2.80 × 10−6 m3/s. If the tube…

Q: A 1.50 mL syringe has an inner diameter of 5.00 mm, a needle inner diameter of 0.260 mm, and a…

Q: A long tube with cross sectional area 0.468m² and height 7.21m is standing vertically and filled…

A: We are given the pressure of air inside tube. Since the plunger is at equilibrium, the outside…

Q: the top of a vertical cylinder is sealed with a circular lid. If the cylinder is evacuated, what is…

A: The force is given by, F=PAF=Pπr2

Q: Pressure cookers use water at very high pressures to cook food very quickly. They have been around…

A: Write the given values with the suitable variables. d=24 cm=0.24 mP=0.75 atm=0.75×1.013×105 Pa=75975…

Q: ne blood pressure is in a patient's vein is 2650 Pa. A needle 2.5cm long with an internal diameter…

A: Given:- The blood pressure is in a patient's vein is P2= 2650 Pa. A needle L= 2.5cm long with an…

Q: A scuba diver is in fresh water has an air tank with a volume of 0.0100 m^3. The air in the tank is…

Q: A rigid tank having a volume of 0.100 m3 contains helium gas at 175 atm. How many balloons can be…

A: Write the mathematical expression for Boyle’s law.

Q: A 0.435 kg0.435 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which…

Q: A refinery uses a Venturi tube like the one shown in the figure to monitor the flow of gasoline (? =…

Q: The human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally…

Q: Snorkels are U-shaped tubes that allow swimmers to breath while swimming just below the surface of…

Q: Air at 105 kPa and 37°C flows upward through a 6-cm-diameter inclined duct at a rate of 65 L/s. The…

Q: determine the tension in the rope

A: To determine the tension in the rope, we first need to calculate the lift force on the balloon,…

Q: A stiff, 10-cm-long tube with an inner diameter of 3.0 mm is attached to a small hole in the side of…

A: Given information: The length of the tube, L=10 cm=0.1 m The inner diameter of the tube, r=3.0…

Q: density of ρ = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0234 m2 and has…

Q: A 1.0 mL syringe has an inner diameter of 4.0 mm , a needle inner diameter of 0.24 mm , and a…

Q: The difference in mercury heights between the left tube and the right tube ish = 114 mmHg = 0.114 m,…

Q: A 0.458 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is…

A: Given information: Here, m is the cylinder’s mass and r is the tube’s radius.

Q: A teenager in a large pool at a certain depth D, equipped with a full scuba gear, takes enough air…

A: Given Pressure difference ∆P = 8.7 kPa = 8700 Pa Water density(ρw) = 1000 kg/m3 Let depth is…

Q: A 2.5-m-tall steel cylinder has a cross-sectional area of 1.5 m2. At the bottom, with a height of…

A: Given: hw=0.5m, hg=1m, A=1.5m2, r=0.8 The density of water is ρw=1000kg/m3 Mass is defined as the…

Q: A 0.527 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is…

Q: Air enclosed in a sphere has density ρ = 1.4 kg/m3. What will the density be if the radius of the…

A: Given data: Density of air enclosed in a sphere is, ρ=1.4 kg/m3.

Q: A block of solid aluminum sits on a flat, level surface. Aluminum has a density of 2.71 ✕ 103 kg/m3.…

Q: The pulmonary artery, which connects the heart to the lungs, has an inner radius of 2.6 mm and is…

A: The average speed of blood in the pulmonary artery is given by,

Q: fluid within a pipe. The drawing shows a gas flowing at speed v₂ through a horizontal section of…

A: Given Data:Cross-sectional area 1 A1 = 0.0393 m2.Cross-sectional area 2 A2 = 0.0619 m2.Density of…

Concept explainers

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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: calculation of pressure of 13.25 cm fluid column

VIEW

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

VIEW

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

VIEW

Step 4: applying ideal gas law

VIEW

Step 5: calculation of final temperature

VIEW

Solution

VIEW

Step by step

Solved in 6 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find the height h in Figure P18.40. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder. Figure P18.40
An airplane is cruising al altitude 10 km. The pressure outside the craft is 0.287 atm; within the passenger compartment, the pressure is 1.00 atm and the temperature is 20C. A small leak occurs in one of the window seals in the passenger compartment. Model the air as an ideal fluid to estimate the speed of the airstream flowing through the leak.
An airplane is cruising at altitude 10 km. The pressure outside the craft is 0.287 atm; within the passenger compartment, the pressure is 1.00 atm and the temperature is 20C. A small leak occurs in one of the window seals in the passenger compartment. Model the air as an ideal fluid to estimate the speed of the airstream flowing through the leak.
The average human has a density of 945 kg/m3 after in haling and 1 020 kg/m3 after exhaling. (a) Without making any swimming movements, what percentage of the human body would be above the surface in the Dead Sea (a body of water with a density of about 1 230 kg/m3) in each of these cases? (b) Given that bone and muscle are denser than fat, what physical characteristics differentiate sinkers (those who tend to sink in water) from floaters (those who readily float)?
A manometer is shown in Figure P15.36. Rank the pressures at the five locations indicated from highest to lowest. Indicate equal pressures, if any. FIGURE P15.36
How many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a height of 8 000 m? Take Hc = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression pair = 0e-z/8 000, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.
Review. (a) Derive an expression for the buoyant force on a spherical balloon, submerged in water, as a function of the depth h below the surface, the volume Vi of the balloon at the surface, the pressure P0 at the surface, and the density w of the water. Assume the water temperature does not change with depth, (b) Does the bouyant force increase or decrease as the balloon is submerged? (c) At what depth is the buoyant force one-half the surface value?
Small spheres of diameter 1.00 mm fall through 20C water with a terminal speed of 1.10 cm/s. Calculate the density of the spheres.
Water flows through a fire hose of diameter 6.35 cm at a rate of 0.0120 m3/s. The fire hose ends in a nozzle of inner diameter 2.20 cm. What is the speed with which the water exits the nozzle?
The spirit-in-glass thermometer, invented in Florence, Italy, around 1054, consists of a tube of liquid (the spirit) containing a number of submerged glass spheres with slightly different masses (Fig. P15.70). At sufficiently low temperatures, all the spheres float, but as the temperature rises, the spheres sink one after another. The device is a crude but interesting tool for measuring temperature. Suppose the tube is filled with ethyl alcohol, whose density is 0.789 45 g/cm3 at 20.0C and decreases to 0.780 97 g/cm3 at 30.0C. (a) Assuming that one of the spheres has a radius of 1.000 cm and is in equilibrium hallway up the tube at 20.0C, determine its mass. (b) When the temperature increases to 30.0C, what mass must a second sphere of the same radius have to be in equilibrium at the halfway point? (c) At 30.0C, the first sphere has fallen to the bottom of the tube. What upward force does the bottom of the tube exert on this sphere?
Considering the magnitude of typical arterial blood pressures, why are mercury rather than water manometers used for these measurements?
(a) How high will water rise in a glass capillary tube with a 0.500-mm radius? (b) How much gravitational potential energy does the water gain? (c) Discuss possible sources of this energy.