Question

what is the volume of 1.56 kg of a compound whose molar mass is 81.86 g/mole and whose density is 41.2 g/ml?

1. 64,300 ml
2. 3110 ml
3. 7.83 ml
4. 0.464 ml
5. 3.11 ml
6. 37.9 ml

Explanation:

Step1: Convert mass to grams

The mass is given as 1.56 kg. Since 1 kg = 1000 g, we convert:
$1.56\ \text{kg} \times \frac{1000\ \text{g}}{1\ \text{kg}} = 1560\ \text{g}$

Step2: Use density formula to find volume

Density ($
ho$) is defined as $
ho = \frac{m}{V}$, where $m$ is mass and $V$ is volume. Rearranging for $V$:
$V = \frac{m}{
ho}$

Substitute $m = 1560\ \text{g}$ and $
ho = 41.2\ \text{g/mL}$:
$V = \frac{1560\ \text{g}}{41.2\ \text{g/mL}} \approx 37.9\ \text{mL}$

Answer:

1. 37.9 mL