physics

posted by .

A 650 kg weather balloon is designed to lift a 4600 kg package. What volume should the balloon have after being inflated with helium at 0 degrees celcius and 1 atm pressure to lift the total load?

The buoyancy force must equal the weight lifted. Let V be the volume.

g*[(He density)* V + 650 kg] = (Air density)*V*g
Cancel out the g's. Assume the outside air density correesponds to the same 1 atm and 0 C. He density is 4 kg/22.4 m^3 and the air density is 29/22.4 kg/m^3
0.179 V + 650 = 1.295 V
Solve for V (in cubic meters)

  • physics -

    Lifted weight= Bouyant force

    g*[(He density)*V+650+4600]=Air density *V*g

    g= gravity= 9.8 N/Kg
    Air Density= 1.29 Kg/m^3
    He Density= 0.179 Kg/ m^3
    Ballon Voulme= Gas Volume= Air volume approximately
    Solving the equation
    V= 4227 m^3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Chemistry

    A weather ballon is prepared to lift off at the North Pole. The balloon is filled with 15000 L of helium gas. The conditions at the launch site are 760 mm Hg and 0 degrees celsius. The balloon is then released and rises to a height …
  2. Physics

    A 600-kg weather ballon is designed to lift a 4000-kg package. What volume should the ballon have after being inflated with helium at standard temperature and pressure so the total load can be lifted up?
  3. Physics

    A 600-kg weather ballon is designed to lift a 4000-kg package. What volume should the ballon have after being inflated with helium at standard temperature and pressure so the total load can be lifted up?
  4. Chem

    A particular balloon is designed by its manufacturer to be inflated tom a volume of no more than 2.5 L. If the balloon is filled with 2.0 L of helium at sea level, is released, and rises to an altitude at which the atmospheric pressure …
  5. Chemistry

    a helium balloon is partially filled with 28.7 L of gas at 25.0 degress celcius and a pressure of 1 atm. if the balloon is released and it floats up intp the atmosphere to a heightwhere the pressure is 2.8 x 10^-3 atm and the temperature …
  6. Physics

    In this problem, your task is to analyze a lead balloon. The balloon in question is a hollow sphere of diameter of 20.0 m, constructed from a lead foil 0.25 mm thick and filled with helium gas. Below the balloon, a passenger basket …
  7. chem

    A typical party balloon when inflated has a volume of 7.3 L. How many moles of helium are in the balloon if the pressure of helium is 1.2 atm and the temperature is 20.7 °C?
  8. Chemistry

    The total mass that can be lifted by a balloon is given by the difference between the mass of air displaced by the balloon and the mass of the gas inside the balloon. Consider a hot air balloon that approximates a sphere 5.00 m in …
  9. Chemistry

    The total mass that can be lifted by a balloon is given by the difference between the mass of air displaced by the balloon and the mass of the gas inside the balloon. Consider a hot air balloon that approximates a sphere 5.00 m in …
  10. Physics Fluid Mechanics

    HELP! a 650kg weather balloon is designed to lift a 4600kg package. what volume should the balloon have after being inflated with helium at 0°C and 1atm pressure to lift the total load?

More Similar Questions