Question

density study guide teks 6.6b calculate density of an unknown substance. density = \\(\frac{\text{mass}}{\text{volume}}\\) 1. if each of the liquids in the container has the same volume, what can be said about the liquids? a. liquid a has a greater mass than b and c. b. liquid c has the greatest mass. c. the liquids are the same substance.

Explanation:

The formula for density is \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \). When volume is constant (all containers have the same volume), mass is directly proportional to density. However, the question is about comparing the liquids when volume is the same. But option C says "The liquids are the same substance" – if they were the same substance, their density would be the same, and with the same volume, their mass would also be the same. But the options A and B suggest different masses, so this is a bit confusing. Wait, maybe the key is that if volume is the same, and if they were the same substance, mass would be same. But the question is asking what can be said. Wait, maybe the original problem (the diagram) shows different masses? Wait, the user's image: the question is "If each of the liquids in the container has the same volume, what can be said about the liquids?" Options: A. Liquid A has greater mass than B and C. B. Liquid C has greatest mass. C. The liquids are the same substance.

Wait, density \(
ho = \frac{m}{V} \). If \( V \) is same, then \( m =
ho V \). So if they are the same substance, \(
ho \) is same, so \( m \) is same. But if A has greater mass, that would mean A has greater density. But the option C says they are same substance. So maybe the correct answer is C? Wait, no – maybe the diagram (not shown) has same volume, but if they are same substance, mass should be same. But the options A and B imply different masses. Wait, maybe the question is that if volume is same, and if they are same substance, then mass is same. But the options A and B say different masses, so C would be correct only if they are same substance (so mass same, but options A and B say different masses, so maybe the intended answer is C? Wait, maybe I misread. Let me re-express:

Density formula: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \). If volume is constant, mass depends on density. If the liquids are the same substance, their density is the same, so mass (since \( V \) is same) would be same. So if the containers have same volume, and if they are same substance, mass is same. So option C: "The liquids are the same substance" would imply same density, hence same mass (since \( V \) same). But options A and B say different masses, which would imply different densities (different substances). But the question is what can be said. So if volume is same, and if they are same substance, then mass is same. So the correct answer is C? Wait, maybe the diagram (not shown) has same volume, and the liquids are same substance, so mass same. So the answer is C.

Answer:

C. The liquids are the same substance.