A spherical balloon of diameter 2m is filled with heliumAssume STPhow much helium is contained in the balloon if it just floats in air?

To determine how much helium is contained in the balloon, we first calculate its volume using the formula for the volume of a sphere, ( V = \frac{4}{3} \pi r^3 ). For a balloon with a diameter of 2 meters, the radius ( r ) is 1 meter, giving a volume of approximately ( 4.19 , \text{m}^3 ). At standard temperature and pressure (STP), 1 mole of gas occupies about 22.4 liters, so the balloon contains roughly ( \frac{4.19 \times 10^3 , \text{L}}{22.4 , \text{L/mol}} \approx 186.5 , \text{moles} ) of helium. This amount of helium is sufficient to provide enough buoyancy to allow the balloon to float in air.