A balloon holds 26.6 kg of helium. What is the volume of the balloon if the pressure is 0.96 atm and the temperature is 23 °C?

Question

mathmate · Answer

Hints:  
Ideal Gas Law:   PV=nRT
P=pressure in pascals (Pa).  101325 Pa = 1 atmosphere
V=volume in m^3  (1 m^3=1000 L)
T=temperature in degrees Kelvin, = degrees C + 273.15
n=number of moles, = m/M   (m=mass of gas, M=molecular mass of helium=4.003 g)
R=universal gas constant = 8.314 J/deg.K/mol

Put it all together and solve for V (in m^3).