Question

1. the density of lead is 11.342 g/ml. what would be the volume of a 200.0 kg sample of this metal?

Explanation:

Step1: Recall density formula

The density formula is $
ho = \frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We need to solve for $V$, so rearrange the formula to $V=\frac{m}{
ho}$.

Step2: Convert mass units

The mass $m = 200.0\space Kg$. Convert kilograms to grams: $1\space Kg = 1000\space g$, so $m = 200.0\times1000 = 200000\space g$.

Step3: Substitute values into formula

Given $
ho = 11.342\space g/mL$ and $m = 200000\space g$, substitute into $V=\frac{m}{
ho}$:
$V=\frac{200000\space g}{11.342\space g/mL}$

Step4: Calculate volume

$V\approx\frac{200000}{11.342}\approx17634\space mL$ (or convert to liters: $17.634\space L$)

Answer:

The volume of the lead sample is approximately $17634\space mL$ (or $17.634\space L$)