Calculate Buoyant Force of 2.00L Helium Balloon

In summary, the buoyant force of a 2.00L helium balloon can be calculated using Archimedes' principle, with the formula Buoyant force = (density of fluid) x (volume of object) x (acceleration due to gravity). The density of helium is approximately 0.1785 grams per liter at standard temperature and pressure (STP), and the volume of a 2.00L helium balloon is 2.00 liters. The density of the gas inside the balloon affects the buoyant force, as helium gas is less dense than air. External factors such as temperature and pressure can also affect the buoyant force of the balloon.
  • #1
cbarker1
Gold Member
MHB
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Calculate the buoyant force (in N) on a 2.00 L helium balloon.

Work:

Upward is Buoyant
Downward is weight due to gravity

$$\Sigma F=0$$
$B-mg=0$
$B=mg$
$\rho=m/V$
$m=\rho*V$
$B=\rho_{fluid}*V_{fluid}*g$

I am stuck on $m=\rho*V$. Am I missing something?
 
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  • #2
I would use:

[box=blue]
Archimedes' principle
Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.[/box]

So, you need only find the weight of 2.00 L of air. :)
 

FAQ: Calculate Buoyant Force of 2.00L Helium Balloon

1. How do you calculate the buoyant force of a 2.00L helium balloon?

The buoyant force of a helium balloon can be calculated using Archimedes' principle, which states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid that the object displaces. In this case, the fluid would be air. The formula for calculating buoyant force is: Buoyant force = (density of fluid) x (volume of object) x (acceleration due to gravity).

2. What is the density of helium?

The density of helium is approximately 0.1785 grams per liter at standard temperature and pressure (STP).

3. What is the volume of a 2.00L helium balloon?

The volume of a 2.00L helium balloon is 2.00 liters. This is the amount of space that the balloon occupies when inflated with helium gas.

4. How does the density of the balloon affect the buoyant force?

The density of the balloon does not directly affect the buoyant force. However, the density of the gas inside the balloon does. Helium gas has a lower density than air, so when the balloon is filled with helium, it becomes less dense than the surrounding air. This difference in density creates a buoyant force that causes the balloon to float.

5. Can the buoyant force of a 2.00L helium balloon be affected by external factors?

Yes, the buoyant force of a helium balloon can be affected by external factors such as temperature and pressure. A change in temperature can cause the density of the gas inside the balloon to change, which can affect the buoyant force. Similarly, a change in pressure can also affect the density of the gas inside the balloon, and therefore the buoyant force.

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