Question

6. A Goodyear blimp typically contains 4700 m² of helium (He) at an absolute pressure of 1.05 x 105 Pa. The temperature of the helium is 286 K. What is the mass (in kg) of the helium in the blimp?(The molar mass of Helium is 4.0026 g) X (8697.10035 kg

Answer 1

6.

V = volume of helium = 4700 m³

P = absolute pressure = 1.05 x 10⁵ Pa

T = Temperature of helium = 286 K

n = number of moles

Using the equation

PV = n RT

(1.05 x 10⁵) (4700) = n (8.314) (286)

n = 207544

M = molar mass = 4.0026 g = 4.0026 x 10^-3 kg

m = mass of helium in the blimp

mass of helium in the blimp is given as

m = n M

m = (207544) (4.0026 x 10^-3)

m = 830.7 kg