QUESTION IMAGE
Question
density = mass / volume
the density of water = 1 g/ml
because the density of water is exactly 1, the volume and mass of water will be equal to one another.
note: 1 ml = 1 cm³, so you may sometimes see density written as g/cm³ as well.
density mass volume
water 1 g/ml 20 g
water 1 g/ml 15 ml
substance a 4 g/ml 100 g
substance b 2 g/ml 5 ml
substance c 3g 1 ml
Step1: Recall density formula
Density $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. We can re - arrange it to find mass $m =
ho\times V$ and volume $V=\frac{m}{
ho}$.
Step2: Find volume of 20 g water
For water with $
ho = 1\ g/mL$ and $m = 20\ g$, using $V=\frac{m}{
ho}$, we have $V=\frac{20\ g}{1\ g/mL}=20\ mL$.
Step3: Find mass of 15 mL water
For water with $
ho = 1\ g/mL$ and $V = 15\ mL$, using $m=
ho\times V$, we get $m = 1\ g/mL\times15\ mL = 15\ g$.
Step4: Find volume of 100 g of Substance A
For Substance A with $
ho = 4\ g/mL$ and $m = 100\ g$, using $V=\frac{m}{
ho}$, we obtain $V=\frac{100\ g}{4\ g/mL}=25\ mL$.
Step5: Find mass of 5 mL of Substance B
For Substance B with $
ho = 2\ g/mL$ and $V = 5\ mL$, using $m=
ho\times V$, we have $m = 2\ g/mL\times5\ mL=10\ g$.
Step6: Find density of Substance C
For Substance C with $m = 3\ g$ and $V = 1\ mL$, using $
ho=\frac{m}{V}$, we get $
ho=\frac{3\ g}{1\ mL}=3\ g/mL$.
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| Density | Mass | Volume |
|---|---|---|
| 1 g/mL | 15 g | 15 mL |
| 4 g/mL | 100 g | 25 mL |
| 2 g/mL | 10 g | 5 mL |
| 3 g/mL | 3 g | 1 mL |