Answer:
884 balloons
Explanation:
Assume ideal gas, since temperature is constant, then the product of pressure and volume is constant.
So if pressures reduces from 100 to 1.2, the new volume would be
[tex]V_2 = \frac{P_1V_1}{P_2} = \frac{100*0.15}{1.2} = 12.5 m^2[/tex]
The spherical volume of each of the balloon of 30cm diameter (15 cm or 0.15 m in radius) is
[tex]V_b = \frac{4}{3}\pir^3 = \frac{4}{3}\pi 0.15^3 = 0.014 m^3[/tex]
The number of balloons that 12.5 m3 can fill in is
[tex]V_2/V_b = 12.5 / 0.014 = 884[/tex]
