Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  In order to form a stream of bubbles, air is ... Start Learning for Free
In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)
Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer?
Verified Answer
In order to form a stream of bubbles, air is introduced through a nozz...
Ans. Pabs= 100.398 kN/m2 (Hint. Bubble of air but surface tension of water).
View all questions of this test
Most Upvoted Answer
In order to form a stream of bubbles, air is introduced through a nozz...
P=4(sigma)/(dia.)=98Pa
Pabs= P + Patm
         = 0.098 + 100.3
         = 100.398kPa
Free Test
Community Answer
In order to form a stream of bubbles, air is introduced through a nozz...
Calculation of Pressure Difference
To form a stream of bubbles, air is introduced through a nozzle into a tank of water. The pressure at the nozzle must exceed the pressure of the surrounding water by a certain amount. Let's calculate the pressure difference required for the formation of 3.0 mm diameter bubbles.

Step 1: Convert Diameter to Radius
Given the diameter of the bubbles is 3.0 mm, we need to convert it to radius by dividing it by 2.
Radius (r) = Diameter / 2 = 3.0 mm / 2 = 1.5 mm = 0.0015 m.

Step 2: Calculate Surface Tension of Water
The surface tension of water is given as 0.0735 N/m.

Step 3: Calculate Pressure Difference
The pressure difference required to form bubbles can be calculated using the Young-Laplace equation, which relates pressure difference (ΔP) to surface tension (σ) and bubble radius (r).

ΔP = 2σ/r

Substituting the given values:
ΔP = 2 * 0.0735 N/m / 0.0015 m = 98 kN/m2.

Step 4: Calculate Absolute Pressure Inside the Bubble
To calculate the absolute pressure inside the bubble, we need to add the pressure of the surrounding water to the pressure difference obtained in Step 3.

Absolute Pressure = Surrounding Pressure + Pressure Difference
Absolute Pressure = 100.3 kN/m2 + 98 kN/m2 = 198.3 kN/m2.

Step 5: Convert to Correct Units
Finally, we need to convert the absolute pressure to the correct units, which is given as 0.0735 N/m.

Absolute Pressure = 198.3 kN/m2 * 0.0735 N/m / 1 kN/m2
Absolute Pressure = 14.56955 N/m.

Rounding off the answer to the nearest hundredth:
Absolute Pressure = 14.57 N/m.

The correct answer given is 'Pabs = 100.398 kN/m2.' It seems there might be an error in the calculation or conversion.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
Explore Courses for Mechanical Engineering exam

Similar Mechanical Engineering Doubts

Top Courses for Mechanical Engineering

In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer?
Question Description
In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer?.
Solutions for In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer?, a detailed solution for In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer? has been provided alongside types of In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In order to form a stream of bubbles, air is introduced through a nozzle into a tank of water at 20°C. If the process requires 3.0 mm diameter bubbles to be formed, by how much the air pressure at the nozzle must exceed that of the surrounding water? What would be the absolute pressure inside the bubble if the surrounding water is at 100.3 kN/m2? (σ = 0.0735 N/m)Correct answer is 'Pabs= 100.398 kN/m2'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev