Question

A large weather balloon requires plenty of helium gas in order to ascend into the atmosphere to take measurements. If the balloon has a volume of 100,000 liters, about how many moles of helium gas would be required to fill the balloon to a pressure of 1 atm and a temperature of 27 degrees C?

A. 531 moles
B. 1394 moles
C. 4063 moles
D. 5280 moles

Answer 1

The equation PV=nRT. where P is the pressure in atmospheres, V is the volume in liters, n the moles , T the temperature in kelvin and R is the ideal gas constant. Temperature = 27 +273 = 300 K, R= 0.08206
Thus, n =PV/RT
             = ( 1 ×100,000)/(300×0.08206)
             = 4062.0684
             ≈ 4063 Moles
Therefore, about 4063 moles would be required