Mass of a volume of ethanol, expressed by pounds (4883)

, por F_y_Q

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The density of ethanol is 0.79 g/mL. Calculate the mass, expressed in pounds, of 17.4 mL of ethanol, knowing that one pound is equal to 0.45 kg. Express the result using scientific notation.

P.-S.

We will solve this exercise in two steps. First, we will use the definition of density to calculate the mass of ethanol. Second, we will convert the units.

1. Calculate the mass of ethanol:

d = \frac{m}{V}\ \to\ {\color[RGB]{2,112,20}{\bm{m = d\cdot V}}}\ \to\ m = 0.79\ \frac{g}{\cancel{mL}}\cdot 17.4\ \cancel{mL} = \color[RGB]{0,112,192}{\bf 13.75\ g}

2. Convert the mass to pounds:

13.75\ \cancel{g}\cdot \frac{1\ \cancel{kg}}{10^3\ \cancel{g}}\cdot \frac{1\ lb}{0.45\ \cancel{kg}} = \fbox{\color[RGB]{192,0,0}{\bm{3.06\cdot 10^{-2}\ lb}}}

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