When fully inflated a hot air balloon has a volume of 1.6 *10^5 l ( liter) an average temperature of 373k and 0 967 atm . 1) assuming that the air has an average molar mass of 29g/ mol what is the density of the air in the hot air balloon? p = g/l . (2) how does this compare with the density of air at stp ? (a) . it is less dense than at stp . (b) it is more dense than at stp .

0.91 g/L is the density of the air in the hot air balloon.

1.29 g/L at STP, which means gas is less dense than at STP.

Explanation:

Pressure of gas,P = 0.967 atm

Temperature of the gas = T = 373 K

Volume of the gas  = V =

Mass of the gas = m

Molar mass,M = 29 g/mol

Density of air in the gas at given conditions: d

Using an ideal gas equation:

(Density =)

0.91 g/L is the density of the air in the hot air balloon.

Density of air in the gas at STP conditions: d'

Pressure of gas at STP = P' = 1 atm

Temperature of the gas at STP = T' = 273 K

d' > d

The gas is less dense than at STP

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