A rigid tank having a volume of 0.100 m3 contains helium gas at 150 atm. how many balloons can be inflated by opening the valve at the top of the tank? each filled balloon is a sphere 0.300 m in diameter at an absolute pressure of 1.20 atm

The initial value of P*V = 0.100*150 atm-m³

Each balloon has a volume of (4/3) * π*r³ and N balloons have a volume of N * (4/3) * π*r³

When all the balloons are inflated, the pressure in the tank is the same as the pressure in the balloons, so the final value of P*V is

1.20*[N * (4/3) * π*r³ + 0.100]

0.100*150 = 1.20*[N * (4/3) * π*r³ + 0.100] solve for N:

15/1.2 = N * (4/3) * π*r³ + 0.100

12.5 - 0.100 = N * (4/3) * π*0.150³

12.4 = N*0.01414

N = 877