Answered: Derive an expression for excess…

Science

Physics

Derive an expression for excess pressure inside an air bubble in a liquid.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter11: Fluid Statics

Section: Chapter Questions

Problem 56PE: What is the gauge pressure in millimeters of mercury inside a soap bubble 0.100 m in diameter?

See similar textbooks

Related questions

Q: expelled here In this problem, take atmospheric pressure to be 1.0 × 105 Pa, and the density of…

A: Given Patm=105N/m2ρ=1000kg/m3g=10N/kgL=3mD=1m ⇒r=0.5mh=20m

Q: A container is filled to a deph of 30.0cm with water. On top of the water floats a 10.0 cm thick…

Q: Balloons are often filled with helium gas because it weighs only about oneseventh of what air weighs…

Q: Derive an expression for excess pressure inside a soap bubble.

A: Consider a soap bubble of radius R and surface tension T. There are two free surfaces of soap…

Q: What happens to the pressure inside a soap bubble when air is blown into it?

Q: A U-shaped tube is open to the atmosphere on both ends. Water is poured into the tube, followed by…

Q: [Determine the difference between the total pressure of an aircraft flying at sea level, and an…

Q: Water flows at the rate of 4 L/s through an orifice at the bottom of a tank which contains water…

A: Given:Volume flow rate (Q)=4 L/SHeight(h) =720cm

Q: A tall cylinder with a cross-sectional area 12.0 cm2 is partially filled with mercury; the surface…

Q: A person weighing 75 kg is standing on a three-legged stool. The stool momentarily tilts so that the…

Q: A fish swims to a depth of 50.00 meters in the ocean. Assuming the density of sea water is 1.025 g.…

A: We will only answer the first question since the exact question to be answered was not specified.…

Q: Give the expression for the excess pressure in an air bubble inside the liquid?

A: The excess pressure inside the liquid a layer of the liquid in terms of surface tension is, P=2TR…

Q: [Determine the difference between the total pressure of an aircraft flying at sea level, and an…

Q: Verify that pressure has units of energy per unit volume.

Q: A force exerts a pressure of 45N/m² when it acts on an area of 10m2. Calculate the total force A…

Q: A container is filled to a depth of 20.0 cm with water. On top of the water floats a 30.0-cm-thick…

A: The absolute pressure at the bottom is given by,

Q: Calculate the volume (in m^3) of helium needed in a hot air balloon to lift at least 100 kg of load.…

Q: You feel additional pressure on your ears when you swim to the bottom of a swimming pool full of…

Q: Someone claims that the absolute pressure in a liquid of constant density doubles when the depth is…

Q: What happens to the density of air in a common rubber balloon when it is heated?

A: The density of air inversely proportional to the temperature. As the rubber ballon is heated, the…

Q: An empty long neck bottle with an upper cylinder diameter of 1 inch, with the length of 4 inches and…

A: Its a theoretical question. Answer : When we submerge the bottle in the bucket of water, then it…

Q: A container is filled to a depth of 21.0 cm with water. On top of the water floats a 33.0-cm-thick…

Q: A container is filled to a depth of 15.0 cm with water. On top of the water floats a 32.0-cm-thick…

A: Let P0 be the absolute pressure at some reference point, Patm be the atmospheric pressure.…

Q: What happens to the pressure in water as it speeds up when it is ejected by the nozzle of the garden…

A: According to the Bernoulli’s principle, when the speed of a fluid increases, the internal pressure…

Q: 0.04 cm liquid column balances the excess pressure inside a soap bubble of radius 6 mm. Evaluate…

Q: A mercury barometer always reads less than actual pressure. Why?

A: The mercury barometer reads less than the actual reading because, mercury is dry liquid.

Q: Where will you experience greater pressure; swimming in the sea or a swimming pool at the same…

Q: A container is filled to a depth of 20.0 cm with water. On top of the water floats a 32.0-cm-thick…

A: Absolute pressure at the bottom = pressure due to water + pressure due to oil + atmospheric pressure…

Q: Consider a soap bubble. Is the pressure inside the bubble higher or lower than the pressure outside?

A: The air inside the soap bubble will add a pressure to the bubble from inside and the air surrounding…

Q: What happens to the internal pressure in a fluid flowing in a horizontal pipe when its speed…

A: In a continuous flow, the flow speed of the fluid increases if the fluid passes through the narrower…

Q: A tall cylinder with a cross-sectional area 15 cm 2 is partially filled with mercury; the surface of…

Q: Assume that the average density of a arctic iceberg is 0.67 that of seawater. What fraction of an…

Q: What is the relationship between the buoyancy force, mass of the boat, mass carried of the boat, and…

Q: A container is filled to a depth of 19.0 cm with water. On top of the water floats a 31.0-cm-thick…

A: Given:- hw = 19 cm = 0.19 m h0 = 31 cm = 0.31 m Specific gravity of oil = 0.600

Q: Derive an expression for excess pressure inside a liquid drop.

A: Let the pressure outside the liquid drop be Po and the inside pressure be PiThe excess pressure…

Q: A U-shaped tube is open to the atmosphere on both ends. Water is poured into the tube, followed by…

Q: What is the difference between the pressure on the bottom of a pool and the pressure on the water…

A: As we know that,

Q: A 1.9 m length of horizontal pipe has a diameter of 1.58 x 10-2 m. Water flows with a volume flow…

A: Length, L = 1.9 m diameter, d = 1.58 x 10-2 m Volume rate, V = 10.2 x 10-3 m3/s η = 103 x 10-5 Pa

Q: What can you infer why the mass of an object in the air is higher than the mass of an object…

A: The object's mass is heavier in the air rather than in the air due to a force known as the Buoyancy…

Q: In a pond containing water an air bubble is produced at a depth of 70 cm relative to the surface of…

A: h = 70 cm Pressure due water column = hd g = 0.7 * 1000 * 9.8 = 6860 Pascals Total pressure =…

Q: The given figure shows a metal ball weighing T = W = 9.5 × 10-2 N in air. When the ball is immersed…

A: The buoyant force is B = Volume immersed x density of liquid x g

Q: A container is filled to a depth of 20.0cm with water. On top of the water floats a 30.0cm thick…

A: hwater=20 cm=0.2 m Atmospheric pressure, P0=1.01×105 Specific gravity of water, ρwater=1000 Specific…

Q: 4.26 PQ What is the difference between a force due to weight and a force due to pressure? Explain.

Question

Derive an expression for excess pressure inside an air bubble in a liquid.

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 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 submarine is stranded on the bottom of the ocean with its hatch 25.0 m below the surface. Calculate the force needed to open the hatch from the inside, given it is circular and 0.450 m in diameter. Air pressure inside the submarine is 1.00 atm.
A container is filled to a depth of 20.0 cm with water. On top of the water floats a 30.0-cm-thick layer of oil with specific gravity 0.700. What is the absolute pressure at the bottom of the container?
One way to force air into an unconscious person's lungs is to squeeze on a balloon appropriately connected to the subject. What force must you exert on the balloon with your hands to create a gauge pressure of 4.00 cm water, assuming you squeeze on an effective area of 50.0 cm2?
A hot-air balloon consists of a basket banging beneath a large envelope filled with hot air. A topical hot-air balloon has a total mass of 545 kg. including passengers in its basket, and holds 2.55 103 m3 of hot air in its envelope. If the ambient air density is 1.25 kg/m3, determine the density of hot air inside the envelope when the balloon is neutrally buoyant. Neglect the volume of air displaced by the basket and | passengers.
Water leaks from a cup with a hole, as shown in Fig. 19.25. What would happen if you placed the palm of your hand tightly over the mouth of the cup? Why? (Hint: What happens to the pressure of the air above the water with respect to the pressure outside the cup?) Figure 19.25 Stop That Leak See Applying Your Knowledge Question 5.
A backyard swimming pool with a circular base of diameter 6.00 m is filled to depth 1.50 m. (a) Find the absolute pressure at the bottom of the pool. (b) Two persons with combined mass 150 kg enter the pool and float quietly there. No water overflown. Find the pressure increase at the bottom of the pool after they enter the pool and float.
Does atmospheric pressure add to the gas pressure in a rigid tank? In a toy balloon? When, in general, does atmospheric pressure not affect the total pressure in a fluid?
In ballet, dancing en pointe (on the tips of the toes) is much harder on the toes normal dancing or walking. Explain why, in terms of pressure.
A fire hose has an inside diameter of 6.40 cm. Suppose such a hose carries a flow of 40.0 LIS starting at a gauge pressure of 1.62106 N/m2. The hose goes 10.0 m up a ladder to a nozzle having an inside diameter of 3.00 cm. Calculate the Reynolds numbers for flow in the fire hose and nozzle to show that the flow in each must be turbulent.
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.
Considering the magnitude of typical arterial blood pressures, why are mercury rather than water manometers used for these measurements?
Look back to figure 14.29. Answer the following two question. Why is poless than atmospheric? Why is pogreater than pi?