EBK THERMODYNAMICS: AN ENGINEERING APPR
EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 8220100257056
Author: CENGEL
Publisher: YUZU
bartleby

Videos

Textbook Question
Book Icon
Chapter 1.11, Problem 102RP

Balloons are often filled with helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force which can be expressed as Fb = ρairgVballoon, will push the balloon upward. If the balloon has a diameter of 12 m and carries two people 85 kg each determine the acceleration of the balloon when it is first released. Assume the density of air is ρ = 1 16 kg/m3, and neglect the weight of the ropes and the cage. Answer: 22.4 m/s2

Chapter 1.11, Problem 102RP, Balloons are often filled with helium gas because it weighs only about one-seventh of what air

Expert Solution & Answer
Check Mark
To determine

The acceleration of the balloon when it is first released.

Answer to Problem 102RP

The acceleration of the balloon when it is first released is 22.4m/s2_.

Explanation of Solution

Show the free body diagram of the balloon.

EBK THERMODYNAMICS: AN ENGINEERING APPR, Chapter 1.11, Problem 102RP

Write the expression of volume of sphere of a balloon.

Vballoon=4πr3/3 (I)

Write the expression of the buoyancy force acting on the balloon.

FB=ρairgVballoon (II)

Here, the density of air is ρH2O, the volume of balloon is Vballoon, and the acceleration of gravity is g.

Write the expression of the mass of helium.

mHe=ρHeVballoon (III)

Here, the density of the helium is ρHe and volume of the balloon is Vballoon.

Write the expression of the total mass can carried by balloon.

mtotal=mHe+mpeople (IV)

Here, the total mass of a people is mpeople and the mass of helium is mHe.

Write the expression of the total weight.

W=mtotalg (V)

Write the expression of net force acting on the balloon.

Fnet=FBW (VI)

Write the expression of acceleration.

a=Fnetmtotal (VII)

Conclusion:

Substitute 6m for r in Equation (I).

Vballoon=4π(6m)3/3=904.8m3.

Substitute 1.16kg/m3 for ρair, 9.81m/s2 for g, and 904.8m3 for Vballoon in Equation (II).

FB=(1.16kg/m3)(9.81m/s2)(904.8m3)=10296kgm/s2×(1N1kgm/s2)=10296N

Substitute 1.16/7kg/m3 for ρHe and 904.8m3 for Vballoon in Equation (III).

mHe=(1.167kg/m3)(904.8m3)=149.9kg.

Substitute 2×85kg for mpeople and 149.9kg for mHe in Equation (V)

mtotal=(149.9kg)+(2×85kg)=319.9kg

Substitute 319.9kg for mtotal and 9.81m/s2 for g in Equation (VI).

W=(319.9kg)(9.81m/s2)=3138kgm/s2×(1N1kgm/s2)=3138N

Substitute 10296N for FB and 3138N for W in Equation (VII).

Fnet=10296N3138N=7157N.

Substitute 7157N for Fnet and 319.9kg for mtotal in Equation (VIII).

a=(7157N)(319.9kg)=(7157N)(319.9kg)×(1kgm/s21N)=22.4m/s2

Thus, the acceleration of the balloon when it is first released is 22.4m/s2_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Balloons are often filled with helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force, which can be expressed as Fb = ? airgVballoon, will push the balloon upward. If the balloon has a diameter of 12 m and carries two people, 70 kg each, determine the acceleration of the balloon when it is first released. Assume the density of air is ? =1.16kg/m3, and neglect the weight of the ropes and the cage
A barge floating in fresh water (ρ = 1000 kg/m3) is shaped like a hollow rectangular prism with base area A = 650 m2 and height H = 2.0 m. When empty the bottom of the barge is located H0 = 0.55 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H1 = 1.8 m below the surface. Find the mass of the coal in terms of the given data.
A vat contains a mixture of oil and water. The water forms a lower layer which is 0.8 m deep, and above it there is an oil layer 0.3 m thick. The density of water is 1000 kg/m³, and the density of oil is 800 kg/m³. Find the force on a flat door at the bottom of the vessel that has a cross-sectional area of 0.5 m². The acceleration due to gravity is 9.81 m/s². Oil, P. = 800 kg/m³ h, = 0.3 m %D Water, pw= 1000 kg/m3 h, = 0.8 m A = 0.5 m² O a. 5.1 kN O b. 5.4 kN Ос. 1.28 kN O d. 4.32 kN е. 10.2 kN

Chapter 1 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 1.11 - Prob. 11PCh. 1.11 - Prob. 12PCh. 1.11 - Solve Prob. 113 using appropriate software. Print...Ch. 1.11 - A 4-kW resistance heater in a water heater runs...Ch. 1.11 - A 150-lbm astronaut took his bathroom scale (a...Ch. 1.11 - The gas tank of a car is filled with a nozzle that...Ch. 1.11 - Prob. 17PCh. 1.11 - A large fraction of the thermal energy generated...Ch. 1.11 - Prob. 19PCh. 1.11 - 1–20C A can or soft drink at room temperature is...Ch. 1.11 - What is the difference between intensive and...Ch. 1.11 - Is the number of moles of a substance contained in...Ch. 1.11 - Is the state of the air in an isolated room...Ch. 1.11 - The specific weight of a system is defined as the...Ch. 1.11 - What is a quasi-equilibrium process? What is its...Ch. 1.11 - Define the isothermal, isobaric, and isochoric...Ch. 1.11 - Prob. 27PCh. 1.11 - Prob. 28PCh. 1.11 - 1–29C What is specific gravity? How is it related...Ch. 1.11 - 1–31C What are the ordinary and absolute...Ch. 1.11 - Prob. 32PCh. 1.11 - Prob. 33PCh. 1.11 - Prob. 34PCh. 1.11 - Prob. 35PCh. 1.11 - Prob. 36PCh. 1.11 - Prob. 37PCh. 1.11 - Prob. 38PCh. 1.11 - The temperature of a system drops by 45F during a...Ch. 1.11 - Explain why some people experience nose bleeding...Ch. 1.11 - A health magazine reported that physicians...Ch. 1.11 - Someone claims that the absolute pressure in a...Ch. 1.11 - 1–43C Express Pascal’s law, and give a real-world...Ch. 1.11 - Consider two identical fans, one at sea level and...Ch. 1.11 - A vacuum gage connected to a chambee reads 35 kPa...Ch. 1.11 - Prob. 46PCh. 1.11 - 1–47E The pressure in a water line is 1500 kPa....Ch. 1.11 - 1–48E If the pressure inside a rubber balloon is...Ch. 1.11 - A manometer is used to measure the air pressure in...Ch. 1.11 - 1–50 The water in a tank is pressurized by air,...Ch. 1.11 - 1–51 Determine the atmospheric pressure at a...Ch. 1.11 - A 200-pound man has a total foot imprint area of...Ch. 1.11 - The gage pressure in a liquid at a depth of 3 m is...Ch. 1.11 - The absolute pressure in water at a depth of 9 m...Ch. 1.11 - 1–55E Determine the pressure exerted on the...Ch. 1.11 - 1–56 Consider a 70-kg woman who has a total foot...Ch. 1.11 - Prob. 57PCh. 1.11 - The barometer of a mountain hiker reads 750 mbars...Ch. 1.11 - The basic barometer can be used to measure the...Ch. 1.11 - Prob. 61PCh. 1.11 - A gas is contained in a vertical, frictionless...Ch. 1.11 - Reconsider Prob. 158. Using appropriate software,...Ch. 1.11 - Both a gage and a manometer are attached to a gas...Ch. 1.11 - Reconsider Prob. 161. Using appropriate software,...Ch. 1.11 - A manometer containing oil ( = 850 kg/m3) is...Ch. 1.11 - A mercury manometer ( = 13.600 kg/m3) is connected...Ch. 1.11 - Repeat Prob. 165 for a differential mercury height...Ch. 1.11 - The pressure in a natural gas pipeline is measured...Ch. 1.11 - Repeat Prob. 167E by replacing air with oil with a...Ch. 1.11 - Blood pressure is usually measure by wrapping a...Ch. 1.11 - The maximum blood pressure in the upper arm of a...Ch. 1.11 - Prob. 73PCh. 1.11 - Consider a U-tube whose arms are open to the...Ch. 1.11 - Consider a double-fluid manometer attached to an...Ch. 1.11 - Prob. 76PCh. 1.11 - Prob. 77PCh. 1.11 - Calculate the absolute pressure. P1, of the...Ch. 1.11 - Consider the manometer in Fig. 173. If the...Ch. 1.11 - Consider the manometer in Fig. 173. If the...Ch. 1.11 - Consider the system shown in Fig. 177. If a change...Ch. 1.11 - What is the value of the engineering software...Ch. 1.11 - Determine a positive real root of this equation...Ch. 1.11 - Solve this system of three equations with three...Ch. 1.11 - Solve this system of three equations with three...Ch. 1.11 - The reactive force developed by a jet engine to...Ch. 1.11 - A man goes to a traditional market to buy a steak...Ch. 1.11 - What is the weight of a 1-kg substance in N, kN,...Ch. 1.11 - A hydraulic lift is to be used to lift a 1900-kg...Ch. 1.11 - Prob. 92RPCh. 1.11 - Prob. 93RPCh. 1.11 - Prob. 94RPCh. 1.11 - Prob. 95RPCh. 1.11 - Prob. 96RPCh. 1.11 - It is well known that cold air feels much colder...Ch. 1.11 - Reconsider Prob. 1116E. Using appropriate...Ch. 1.11 - A vertical pistoncylinder device contains a gas at...Ch. 1.11 - An air-conditioning system requires a 35-m-long...Ch. 1.11 - The average body temperature of a person rises by...Ch. 1.11 - Balloons are often filled with helium gas because...Ch. 1.11 - Reconsider Prob. 1101. Using appropriate software,...Ch. 1.11 - Determine the maximum amount of load, in kg, the...Ch. 1.11 - The lower half of a 6-m-high cylindrical container...Ch. 1.11 - A vertical, frictionless pistoncylinder device...Ch. 1.11 - A pressure cooker cooks a lot faster than an...Ch. 1.11 - Prob. 108RPCh. 1.11 - Consider a U-tube whose arms are open to the...Ch. 1.11 - Prob. 110RPCh. 1.11 - A water pipe is connected to a double-U manometer...Ch. 1.11 - A gasoline line is connected to a pressure gage...Ch. 1.11 - Repeat Prob. 1110 for a pressure gage reading of...Ch. 1.11 - The average atmosphere pressure on earth is...Ch. 1.11 - Prob. 115RPCh. 1.11 - Prob. 116RPCh. 1.11 - Consider the flow of air through a wind turbine...Ch. 1.11 - The drag force exerted on a car by air depends on...Ch. 1.11 - An apple loses 3.6 kJ of heat as it cools per C...Ch. 1.11 - Consider a fish swimming 5 m below the free...Ch. 1.11 - The atmospheric pressures at the top and the...Ch. 1.11 - Consider a 2.5-m-deep swimming pool. The pressure...Ch. 1.11 - During a heating process, the temperature of an...Ch. 1.11 - At sea level, the weight of 1 kg mass in SI units...

Additional Engineering Textbook Solutions

Find more solutions based on key concepts
Knowledge Booster
Background pattern image
Mechanical Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Text book image
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Text book image
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Text book image
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Text book image
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Text book image
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Physics 33 - Fluid Statics (1 of 10) Pressure in a Fluid; Author: Michel van Biezen;https://www.youtube.com/watch?v=mzjlAla3H1Q;License: Standard YouTube License, CC-BY