a spherical balloon of diameter 2m is filled with helium.Assume STP .how much is contained in the balloon helium
To find out how much helium is contained in the balloon, we need to calculate its volume.
The formula to calculate the volume of a sphere is:
V = (4/3) * π * r^3
First, let's find the radius (r) of the balloon. The diameter (d) is given as 2m, so the radius can be calculated by dividing the diameter by 2:
r = d/2 = 2/2 = 1m
Now, let's substitute the value of the radius into the volume formula:
V = (4/3) * π * (1^3)
V = (4/3) * π * 1
V = (4/3) * 3.14159 * 1
V ≈ 4.18879 cubic meters
At Standard Temperature and Pressure (STP), one mole of any ideal gas occupies 22.4 liters or 0.0224 cubic meters of volume.
Therefore, to find out the amount of helium contained in the balloon, we can divide the volume of the balloon by the volume occupied by one mole of helium at STP:
Amount of helium = V / 0.0224
Substituting the value we calculated for V:
Amount of helium = 4.18879 / 0.0224
Amount of helium ≈ 187.03 moles
So, the spherical balloon of diameter 2m, filled with helium at STP, contains approximately 187.03 moles of helium.