Question

A tank having a volume of 0.12 m3 contains helium gas at 150 atm. How many balloons can the tank blow up, if each filled balloon is a sphere of radius 0.16 m at an absolute pressure of 1.2 atm?

Answer 1

877

Step-by-step explanation:

P1 = 150 atm

V1 = 0.12 m^3

P2 = 1.2 atm

V2 = ?

radius of each balloon, r = 0.16 m

Volume of each balloon,

`V_(2)=(4)/(3)\pi r^(3)`

`V_(2)=(4)/(3)\pi 0.16^(3)`

V2 = 0.0171 m^3

Let the number of balloons be N.

So,

P1 x V1 = N x P2 x V2

150 x 0.12 = N x 1.2 x 0.0171

N = 877.19

So, the number of balloons be 877.