Question

density worksheet
chemistry a
instructions: answer the following questions about density. be sure to show your work and don’t forget your units! no work = no credit!

1. a student measures the mass of a block of brown sugar to be 12.3 g. the volume of this block is 8ml. what is the density of the brown sugar?
2. a chef fills a 55 ml container with 45.3 g of cooking oil. what is the density of the oil?
3. a teacher performing a demonstration finds that a piece of cork raises the water level from 60ml to 89.64ml when submerged. the piece of cork has a mass of 7.5 g. what is the density of the cork?

Explanation:

Step1: Recall density formula

The formula for density $
ho$ is $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Solve for brown - sugar density

Given $m = 12.3$ g and $V=8$ mL. Substitute into the formula: $
ho_1=\frac{12.3\text{ g}}{8\text{ mL}} = 1.5375$ g/mL

Step3: Solve for cooking - oil density

Given $m = 45.3$ g and $V = 55$ mL. Substitute into the formula: $
ho_2=\frac{45.3\text{ g}}{55\text{ mL}}\approx0.8236$ g/mL

Step4: Find volume of cork

The volume of the cork is equal to the volume of water it displaces. $V_3=89.64\text{ mL}-60\text{ mL}=29.64$ mL

Step5: Solve for cork density

Given $m = 7.5$ g and $V = 29.64$ mL. Substitute into the formula: $
ho_3=\frac{7.5\text{ g}}{29.64\text{ mL}}\approx0.253$ g/mL

Answer:

1. The density of the brown sugar is $1.5375$ g/mL
2. The density of the cooking oil is approximately $0.8236$ g/mL
3. The density of the cork is approximately $0.253$ g/mL