A Balloon Filled With Helium Gas



A balloon filled with helium gas has an average density of ρ b = 0.26 kg/m 3. The density of the air is about ρ a = 1.23 kg/m 3. The volume of the balloon is V b = 0.024 m 3. Are they copying each other? They are saying the same incorrect thing using slightly different phrasing. It is not correct that there is a place in the atmosphere at which the density is equal to the density of helium. Dec 11, 2018 Small balloons can be filled with helium gas at most party stores. For large supplies of helium, you’ll need to go to a wholesale helium supplier or even a national helium supplier. Sep 30, 2019 Whereas Helium is heavier than Hydrogen but still it is lighter than air and balloon filled with helium can fly. It is an inert gas hence it is safe. Helium is quite expensive due to its limited resources on the planet.

A Balloon Filled With Helium Gas

A balloon is being filled with helium at the rate if #4'ft'^3/'min'#. What is the rate, in #'ft'^2/'min'#, at which the surface area is increasing when the volume is #(32pi)/3'ft'^3#?

A Balloon Filled With Helium Gas Has An Average Density

1 Answer

A balloon filled with helium gas at 20 c occupies 4.91

Explanation:

The volume of a balloon is

#V=4/3pir^3#

The volume is #V=32/3pi#

Therefore,

The radius is given by

#32/3pi=4/3pir^3#

#r^3=8#

#r=2#

So,

Differentiating wrt #t#

#(dV)/dt=4/3pi*3r^2(dr)/dt=4pir^2(dr)/dt#

As,

#(dV)/dt=4#

#4pir^2(dr)/dt=4#

#(dr)/dt=1/(pir^2)#

The surface area is

#A=4pir^2#

Differentiating wrt #t#

A Balloon Filled With Helium Gas Has An Average

#(dA)/dt=8pirdr/dt=8pi*2*1/(pi2^2)=4(ft^2)/min#

A Balloon Filled With Helium Gas Has A Volume Of 500 Ml

Related questions