Question

what volume of gold would be equal in mass to a piece of copper with a volume of 136 ml? the density of gold is 19.3 g/ml; the density of copper is 8.96 g/ml

Explanation:

Step1: Calculate mass of copper

Use formula $m =
ho V$. Given $
ho_{copper}=8.96\ g/mL$ and $V_{copper}=136\ mL$. So $m_{copper}=
ho_{copper}V_{copper}=8.96\times136 = 1218.56\ g$.

Step2: Calculate volume of gold

Since $m_{gold}=m_{copper}$, and $
ho_{gold} = 19.3\ g/mL$. Using $V=\frac{m}{
ho}$, we have $V_{gold}=\frac{m_{gold}}{
ho_{gold}}=\frac{1218.56}{19.3}\approx63.1\ mL$.

Answer:

$63.1$