A liquid fuel used in aerospace applications has a tabulated density of

CHEMISTRY · Multi-part · CBSE · Chemistry · Some Basic Concepts of Chemistry · Some Basic Concepts of Chemistry

Problem

48.0\,\text{lb\,ft}^{-3}

. For compatibility with international data sets, engineers must express this density in both

\text{kg\,m}^{-3}

and

\text{g\,cm}^{-3}

. Use the exact conversion factors

1\,\text{lb}=0.4536\,\text{kg}

and

1\,\text{ft}=0.3048\,\text{m}

. Complete the tasks below. (a) Determine the density of the fuel in

\text{kg\,m}^{-3}

. (b) Convert the result from part (a) to

\text{g\,cm}^{-3}

. (c) Explain why the numerical value of the density is much smaller when expressed in

\text{g\,cm}^{-3}

than when expressed in

\text{kg\,m}^{-3}

, even though they describe the same physical quantity.