Question

The Goodyear blimp Spirit of Akron is 62.6m long and contains 7023m^3 of helium. When the temperature of the helium is 285 K, its absolute pressure is 112 kPa. Find the mass of the helium in the blimp.

Answer 1

Answer:

1328.7032 kg

Explanation:

P = Pressure = 112 kPa

T = Temperature = 285 K

V = Volume = 7023 m³

R = Gas constant = 8.314 J/mol K

From the ideal gas law we have

$PV=nRT\\\Rightarrow n=\dfrac{PV}{RT}\\\Rightarrow n=\dfrac{112000\times 7023}{8.314\times 285}\\\Rightarrow n=331960.04203\ moles$

The mass of gas is given by

$m=n\times MW_{He}\\\Rightarrow m=331960.04203\times 4.0026\times 10^{-3}\\\Rightarrow m=1328.70326\ kg$

The mass of helium in the blimp is 1328.7032 kg