MHB Calculate Buoyant Force of 2.00L Helium Balloon

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To calculate the buoyant force on a 2.00 L helium balloon, apply Archimedes' principle, which states that the buoyant force equals the weight of the fluid displaced. The buoyant force can be expressed as B = ρ_fluid * V_fluid * g, where ρ_fluid is the density of the fluid (air), V_fluid is the volume of the balloon, and g is the acceleration due to gravity. To find the mass of the air displaced, use m = ρ * V, where ρ is the density of air and V is the volume of the balloon. The calculation ultimately leads to determining the weight of the 2.00 L of air to find the buoyant force acting on the helium balloon. Understanding these principles is essential for accurately calculating buoyant forces in fluid dynamics.
cbarker1
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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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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. :)
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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