A balloon contains 10 g of H₂ (2.01588 amu) gas. How many moles of argon gas (39.9480 amu) must be added so that the balloon will have exactly the same aero buoyancy (i.e., so that its weight will be equal to that of an equal volume of the surrounding air)? Assume ideal gas behaviour; neglect the weight of the balloon itself and assume it to be impermeable and perfectly elastic. The average molecular weight of air is 29 g mol-¹.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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R = 0.08205 L atm mol-1 K-1

T(K) = T (°C) + 273.15

A balloon contains 10 g of H₂ (2.01588 amu) gas. How many
moles of argon gas (39.9480 amu) must be added so that the
balloon will have exactly the same aero buoyancy (i.e., so that its
weight will be equal to that of an equal volume of the surrounding
air)? Assume ideal gas behaviour; neglect the weight of the
balloon itself and assume it to be impermeable and perfectly
elastic. The average molecular weight of air is 29 g mol-¹.
Transcribed Image Text:A balloon contains 10 g of H₂ (2.01588 amu) gas. How many moles of argon gas (39.9480 amu) must be added so that the balloon will have exactly the same aero buoyancy (i.e., so that its weight will be equal to that of an equal volume of the surrounding air)? Assume ideal gas behaviour; neglect the weight of the balloon itself and assume it to be impermeable and perfectly elastic. The average molecular weight of air is 29 g mol-¹.
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