# The density of gasoline at 29°C is .6 g/mL. What is the mass of 6 liters of gasoline?

Nov 26, 2015

Under $4 \cdot k g$.

#### Explanation:

Density, $\rho$ $=$ $\left(\text{mass")/("volume}\right)$; thus $\text{mass" = rhoxx"volume}$

$6 \cancel{L} \times 1000 \cdot \cancel{m L} \cdot \cancel{{L}^{-} 1} \times 0.6 \cdot g \cdot \cancel{m {L}^{-} 1}$

$=$ ??g

The volume was quoted at a certain temperature because volume varies with temperature. If the temperature had been $15$ ""^@C, would you expect volume to increase or decrease? Why?

Nov 26, 2015

The mass will be 3600 g of gasoline.

#### Explanation:

Since density is in g/mL, convert 6 L to mL.

$6 \cancel{\text{L"xx(1000"mL")/(1cancel"L")=6000"mL}}$

To calculate the mass of 6000 mL of gasoline, multiply the volume times its mdensity.

$6000 \cancel{\text{mL"xx(0.6"g")/(1cancel"mL")="3600 g gasoline}}$