Ahot air balloon can have a volume of 2950 cubic meters (2.95 ✕ 106 liters) and operate at temperatures up to 250°f (121°c). assuming a balloon is operating at this maximum temperature with an external pressure of 1.00 atm, what mass of air would the balloon hold? while air is a mixture of many gases, we can assume a molar mass of 28.97 g/mol for air.

2.64 × 10⁶ g

Explanation:

We can find the mass of air using the ideal gas equation.

where,

P is the pressure (P = 1.00 atm)

V is the volume (V = 2.95 × 10⁶ L)

n is the number of moles

R is the ideal gas constant (0.08206atm.L/mol.K)

T is the absolute temperature (121°C + 273 = 394 K)

m is the mass

M is the molar mass (28.09 g/mol)

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explanation:

every chemical equation adheres to the law of conservation of mass, which states that matter cannot be created or destroyed. therefore, there must be the same number of atoms of each element on each side of a chemical equation.