The two balloons shown in the figure each have the same volume, temperature, and pressure. Which of the following statements regarding the two balloons is correct? A)The CO₂ balloon has fewer molecules than the O₂ balloon. B)The density of the O₂ balloon is greater than the density of the CO₂ balloon. C)The mass of the O₂ balloon is greater than the mass of the CO₂ balloon. D)The CO₂ balloon is more buoyant than the O₂ balloon. E)None of these statements is correct.

Question

Quizplus · Accepted Answer

Since both balloons have the same volume, temperature, and pressure, they must contain the same number of molecules (Choice A is incorrect). The density of a gas depends on the mass of the gas molecules, the number of molecules, and the volume of the container. Since we know that the volume and number of molecules are the same for both balloons, we cannot conclude that one has a greater density (Choice B is incorrect). Similarly, since we do not know the type of gas in the balloons, we cannot compare their masses (Choice C is incorrect). Finally, since the balloons have the same density (even if it is unknown), they will experience the same buoyant force in air (Choice D is incorrect). Therefore, the correct answer is E, none of these statements is correct.

The Two Balloons Shown in the Figure Each Have the Same