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Pure, dry air has a density of 𝜌=ρ=1.293 g/L at 273.15 K and 101.325 kPa.Four balloons, each filled with 1.5 L of different gases have the densities indicated at the given temperature and pressure.(1) chlorine gas (density, 𝜌=ρ= 3.21 g/L)(2) butane gas (density, 𝜌=ρ= 0.570 g/L)(3) oxygen gas (density, 𝜌=ρ= 1.429 g/L)(4) ammonia gas (density, 𝜌=ρ= 0.730 g/L)Which of the balloons will float? (1), (2), (3), and (4) Only (1) and (3) Only (2) and (4) Only (2), (3), and (4) Only (1) and (4)

Question

Pure, dry air has a density of 𝜌=ρ=1.293 g/L at 273.15 K and 101.325 kPa.Four balloons, each filled with 1.5 L of different gases have the densities indicated at the given temperature and pressure.(1) chlorine gas (density, 𝜌=ρ= 3.21 g/L)(2) butane gas (density, 𝜌=ρ= 0.570 g/L)(3) oxygen gas (density, 𝜌=ρ= 1.429 g/L)(4) ammonia gas (density, 𝜌=ρ= 0.730 g/L)Which of the balloons will float? (1), (2), (3), and (4) Only (1) and (3) Only (2) and (4) Only (2), (3), and (4) Only (1) and (4)

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Solution

The balloons that will float are those filled with gases that have a lower density than that of air. The density of pure, dry air is given as 1.293 g/L.

Comparing this with the densities of the gases in the balloons:

(1) Chlorine gas has a density of 3.21 g/L, which is higher than that of air. Therefore, a balloon filled with chlorine gas will not float.

(2) Butane gas has a density of 0.570 g/L, which is lower than that of air. Therefore, a balloon filled with butane gas will float.

(3) Oxygen gas has a density of 1.429 g/L, which is higher than that of air. Therefore, a balloon filled with oxygen gas will not float.

(4) Ammonia gas has a density of 0.730 g/L, which is lower than that of air. Therefore, a balloon filled with ammonia gas will float.

So, the balloons that will float are those filled with butane gas and ammonia gas. Therefore, the answer is "Only (2) and (4)".

This problem has been solved

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