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. 2. which liquid has the greatest density? ____ 3. which liquid has the least density? ____ 4. if liquid b is water, which has a density of 1 g/ml, what might be the density of liquid a? a. 2 g/ml b. 1.5 g/ml c. 0.5 g/ml d. 1 g/ml image of a container with three layers: bottom layer c (dark), middle layer b, top layer a

Explanation:

Question 1

The formula for density is $\text{Density} = \frac{\text{Mass}}{\text{Volume}}$. If the volume is the same (each liquid in the container has the same volume), then density is directly proportional to mass. So the liquid with the greater density will have the greater mass. But the options are about mass comparison. Option A says Liquid A has greater mass than B and C, Option B says Liquid C has greatest mass, Option C says they are the same substance. From the diagram (assuming the layers: usually denser liquids are at the bottom), if C is at the bottom, B in the middle, A at the top, then density order is $C > B > A$. So mass (since volume same) would be $C > B > A$. But wait, the question is "what can be said about the liquids?". Wait, maybe I misread. Wait, the options: 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. Since density $=\frac{mass}{volume}$, same volume, so higher density means higher mass. If C is at the bottom (so densest), then C has greatest mass. But wait, maybe the diagram shows C is the bottom layer, B middle, A top. So density: $C > B > A$. So mass (volume same) $C > B > A$. So Option B: Liquid C has the greatest mass. Wait, but let's check the options again. Wait, the first question: "If each of the liquids in the container has the same volume, what can be said about the liquids?". So using $m =
ho V$, same V, so m depends on $
ho$. So the liquid with highest density has highest mass. From the diagram (assuming C is bottom, so densest), so C has greatest mass. So answer is B? Wait, no, maybe the options are A: Liquid A has greater mass than B and C. B: Liquid C has greatest mass. C: same substance. So if C is densest (bottom), then C has greatest mass. So answer B.

Density determines the layering: denser liquids sink to the bottom. From the diagram (C at bottom, B middle, A top), so density order is $C > B > A$? Wait, no, wait: if a liquid is at the bottom, it's denser than the ones above. So C is bottom, so densest. Then B is middle, then A is top (least dense). Wait, no, maybe I got it reversed. Wait, if you have three liquids, the densest is at the bottom, then middle density, then least dense at the top. So C (bottom) is densest, B (middle) next, A (top) least. Wait, but the question is "Which liquid has the greatest density?". So C.

Using the layering: least dense liquid is at the top. From the diagram, A is at the top, so A has the least density.

Answer:

B. Liquid C has the greatest mass.

Question 2