54. calculate what is the mass, in kilograms, of 14.0 l of gasoline? (assume that the density of gasoline is…

Explanation:

Step1: Convert volume to $cm^3$

We know that $1\ L = 1000\ cm^3$. So for a volume $V = 14.0\ L$, the conversion gives $V=14.0\times1000\ cm^3 = 14000\ cm^3$.

Step2: Use the density - mass formula

The density formula is $\rho=\frac{m}{V}$, where $\rho$ is density, $m$ is mass and $V$ is volume. Rearranging for mass gives $m = \rho V$. Given $\rho=0.680\ g/cm^3$ and $V = 14000\ cm^3$, then $m=0.680\ g/cm^3\times14000\ cm^3=9520\ g$.

Step3: Convert mass to kilograms

Since $1\ kg=1000\ g$, then $m=\frac{9520\ g}{1000}=9.52\ kg$.

Answer:

$9.52\ kg$