Question

1. a substance occupies a volume of 125 liters with a mass of 75.0 kg. what is its density? 3) if a substance has a density of 0.625 g/cm³ and you have 45.5 g of it, what volume would it occupy? 4) if a substance has a density of 1.72 kg/l and you have 3.75 l of it, what would be its mass?

Explanation:

Step1: Recall density formula

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

Step2: Solve problem 2

Given $m = 75.0$ kg and $V=125$ L. Substitute into the formula: $
ho=\frac{75.0\ \text{kg}}{125\ \text{L}} = 0.6$ kg/L.

Step3: Solve problem 3

Given $
ho = 0.625$ g/cm³ and $m = 45.5$ g. Rearrange the density formula to $V=\frac{m}{
ho}$. Then $V=\frac{45.5\ \text{g}}{0.625\ \text{g/cm}^3}=72.8$ cm³.

Step4: Solve problem 4

Given $
ho = 1.72$ kg/L and $V = 3.75$ L. Rearrange the density formula to $m=
ho V$. Then $m=1.72\ \text{kg/L}\times3.75\ \text{L}= 6.45$ kg.

Answer:

1. 0.6 kg/L
2. 72.8 cm³
3. 6.45 kg