Question

What is the mass of the fuel in kilograms if the fuel’s density is 0.769 g/cm3Express your answer in kilograms to three significant figures.

Answer 1

The first step is to convert the given volume, from liters to cubic centimeters:

$14319L\cdot\frac{1000\operatorname{cm}^3}{1L}=14319000\operatorname{cm}^3$

Now, use the density to find the mass of the given volume:

$14319000cm^3\cdot\frac{0.769g}{\operatorname{cm}^3}=11011311g$

Convert the mass to kilograms:

$11011311g\cdot\frac{1\operatorname{kg}}{1000g}=11011.311kg\approx1.10\times10^4\operatorname{kg}$

The answer is 1.10x10^4kg.