A sphere balloon with 30 cm in radius is released from the ground, 300 K and 101.325 kPa. The balloon is charged with Helium at 1 atm (absolute), thus creating buoyant force for balloon to rise. The radius of the balloon does not change, and the mass of balloon is 0.1 kg, except the mass of Helium inside. The atmosphere can be assumed to be isothermal at 300 K with air (molecular weight = 29 kg/kmol). a. Calculate the mass of Helium inside the balloon and the densities of Helium and air at 101.324 kPa and 300 K by using ideal gas law. b. Calculate the maximum velocity of the balloon during the rise and find out the altitude of maximum velocity. Include a figure showing the changes of acceleration and velocity as a function of altitude. (Hint) a = Vd, where a is the acceleration, V is the velocity, and z is the altitidue. dv dz'

A sphere balloon with 30 cm in radius is released from the ground, 300 K and 101.325 kPa. The balloon is charged with Helium at 1 atm (absolute), thus creating buoyant force for balloon to rise. The radius of the balloon does not change, and the mass of balloon is 0.1 kg, except the mass of Helium inside. The atmosphere can be assumed to be isothermal at 300 K with air (molecular weight = 29 kg/kmol). a. Calculate the mass of Helium inside the balloon and the densities of Helium and air at 101.324 kPa and 300 K by using ideal gas law. b. Calculate the maximum velocity of the balloon during the rise and find out the altitude of maximum velocity. Include a figure showing the changes of acceleration and velocity as a function of altitude. (Hint) a = Vd, where a is the acceleration, V is the velocity, and z is the altitidue. dv dz'

Name: A sphere balloon with 30 cm in radius is released from the ground, 30
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: A sphere balloon with 30 cm in radius is released from the ground, 300 K and 101.325 kPa.The balloon is charged with Helium at 1 atm (absolute), thus creating buoyant force forballoon to rise. The radius of the balloon does not change, and the mass

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A sphere balloon with 30 cm in radius is released from the ground, 300 K and 101.325 kPa. The balloon is charged with Helium at 1 atm (absolute), thus creating buoyant force for balloon to rise. The radius of the balloon does not change, and the mass of balloon is 0.1 kg, except the mass of Helium inside. The atmosphere can be assumed to be isothermal at 300 K with air (molecular weight = 29 kg/kmol).
What pressure force (in kN) exists on an 80-cm-diameter horizontal area at a depth 100 feet below the surface of a lake? Assume the density of the water is constant at 1000 kg/m³, and atmospheric pressure is 1.00 atm.
Choose correct answer: A vessel of capacity 4 m3 contains the mass of 7 kg of Helium gas at a pressure of 197000 N/m2 and a temperature of 342 K. Find the gas constant of Helium gas in J/kgK. Gas constant, (J/kgK)
Consider a column of a planet's atmosphere. The planet's atmosphere is a compressible ideal gas at rest that obeys the polytropic relation Po %3D 3/2 Po 3/2 where pis pressure and pis density. Here, p, and P, are the values of pressure and density, respectively, at the planet's surface. Take z (altitude) to be positive upward with z=0 at the surface, take R to be the gas constant for the planet's atmosphere, and take g to be the downward acceleration due to gravity. a) Starting from hydrostatic balance and the polytropic relation above, derive an expression for the pressure field, p(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic. b) Derive an expression for the density field, p(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic. c) Derive an expression for the temperature field, T(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic.
A solid ball is floating at a boundary between water and mercury, with 56 % of the ball volume in water. Ball diameter is 1.2 m, water density is 1000 kg/m3 and mercury density is 13560 kg/m3. What is the density of the ball? Round off the answer to an integer in kg/m3, but enter the answer without the unit.
In the figure below, the tank contains water and immiscible oil at 20°C. What is h in cm if ha= 18cm, h=14cm, hc= 12cm, and the density of the oil is 898 kg/m³? Assume the density of water to be equal to 998 kg/m³. h = h ha hb cm. Oil hc Water
(5)- In thermodynamics, there are many laws such as Boyle's Law, Combined Gas Law, Gay- Lussac's Law , Ideal Gas Law, and Charles' Law. Describe all of those laws, with writing the formulas of the laws.? (6)- A 40 OL balloon is filled with air at sea level (1 00 atm 25.0°C) It is tied to a rock and thrown
A Russian submarine crashs, loses control and runs aground at the bottom of the sea. The pressure,at atm, to which the submarine gets subject ed when it ran aground at a depth of 100 meters is?(For seawater take that density is worth 1000 kg/m³)
A vessel of capacity 3 m³ contains the mass of 7 kg of Oxygen gas at a pressure of 180000 N/m? and a temperature of 310 K. Find the gas constant of Oxygen gas in J/kgK. Gas constant, (J/kgK) =
1. A gas fills a 2-ft-diameter spherical container. The gas pressure and temperature is 15.2 psig and 80°F, respectively. Its gas constant is 1775 ft-lb/slug-R. Calculate the relative density of the gas.
The height of a cylindrical tank, containing 15 lb of gas at 70psia and 115°F, is triple its diameter; the constant R=45ft-lb/lb°R,Find the tank dimensions in feet.
For the Figure, the cover gate AB closes a circular opening 178.4 cm in diameter. The minimum mass equal to . ton. Let h= 122 cm. Mass=? h В A 50 cm Water 6 m الجواب