Question

density practice problem worksheet

1. a block of aluminum occupies a volume of 15.0 ml and weighs 40.5 g. what is its density?
2. mercury metal is poured into a graduated cylinder that holds exactly 22.5 ml. the mercury used to fill the cylinder weighs 306.0 g. from this information, calculate the density of mercury.
3. what is the weight of the ethyl alcohol that exactly fills a 200.0 ml container? the density of ethyl alcohol is 0.789 g/ml.
4. a rectangular block of copper metal weighs 1896 g. the dimensions of the block are 8.4 cm by 5.5 cm by 4.6 cm. from this data, what is the density of copper?

Explanation:

1.

Step1: Recuerda la fórmula de densidad

La densidad $
ho=\frac{m}{V}$, donde $m$ es la masa y $V$ es el volumen.

Step2: Sustituye valores para aluminio

Dado $m = 40.5$ g y $V=15.0$ mL, entonces $
ho=\frac{40.5\text{ g}}{15.0\text{ mL}}$.

Step3: Calcula la densidad

$
ho = 2.7$ g/mL

Step1: Utiliza la fórmula de densidad

$
ho=\frac{m}{V}$, con $m = 306.0$ g y $V = 22.5$ mL.

Step2: Realiza el cálculo

$
ho=\frac{306.0\text{ g}}{22.5\text{ mL}}$.

Step3: Obtén el resultado

$
ho = 13.6$ g/mL

Step1: Reescribe la fórmula de densidad para encontrar la masa

Como $
ho=\frac{m}{V}$, entonces $m=
ho\times V$.

Step2: Sustituye valores

Dado $
ho = 0.789$ g/mL y $V = 200.0$ mL, $m=0.789\text{ g/mL}\times200.0\text{ mL}$.

Step3: Calcula la masa

$m = 157.8$ g

Answer:

2.7 g/mL

2.