The density of helium is 0.179kgm3.A Baloon hs a capacity of 27m3 and a mas of 12.5kg whn empty.a)fnd the total mas of baloon n gas.b)if dnsity of air is 1.29 kgm3 wht mas of air is displacd by the baloon
Volume = 27 m^3
density=0.179 kg m^-3
mass of balloon = 12.5 kg
a.
Total mass of balloon and helium
= 27*0.179+12.5
= 17.3 kg
mass of air displaced, neglecting the
b.
volume of the material of the balloon
= 27 m^3 * 1.29 kg-m^-3
= 34.8 kg
To find the total mass of the balloon and gas, we need to calculate the mass of helium gas and then add it to the mass of the empty balloon.
Here's how you can get the answer:
a) Find the mass of helium gas:
To calculate the mass of helium gas, multiply the density of helium (0.179 kg/m^3) by the volume of the balloon (27 m^3):
Mass of helium gas = Density of helium x Volume of the balloon
Mass of helium gas = 0.179 kg/m^3 x 27 m^3
b) Find the total mass of the balloon and gas:
To calculate the total mass of the balloon and gas, add the mass of the empty balloon (12.5 kg) to the mass of helium gas:
Total mass = Mass of empty balloon + Mass of helium gas
To find the mass of air displaced by the balloon, we need to calculate the volume of the displaced air and then use the density of air to find its mass.
Here's how you can get the answer:
b) Find the volume of air displaced:
The volume of air displaced is equal to the volume of the balloon itself, which is given as 27 m^3.
c) Find the mass of air displaced:
To calculate the mass of air displaced, multiply the density of air (1.29 kg/m^3) by the volume of air displaced:
Mass of air displaced = Density of air x Volume of air displaced
Mass of air displaced = 1.29 kg/m^3 x 27 m^3
Now, you have the steps to find both the total mass of the balloon and gas (a) and the mass of air displaced by the balloon (b). Plug in the values and perform the calculations to find the answers.