Question

How many kilograms are there in 2642 gal. of a solution whose density youexperimentally determined to be 0.736 g/mL?

Answer 1

Explanations:

The formula for calculating the density of a substance will be used to get the required mass:

`\text{Density=}(Mass)/(Volume)`

Given the following parameters;

`\begin{gathered} \text{Density=0.736}(g)/(mL) \\ \text{Volume=2642gal} \end{gathered}`

Convert gallons to mL using the conversion rate.

`\begin{gathered} 1\text{gal=}3785.41mL \\ 2642\text{gal}=(2642\cdot3785.41)=10,001,053.22mL \end{gathered}`

Substitute the given parameters into the formula as shown:

`\begin{gathered} 0.736\text{g/ml}=(Mass)/(10,001,053.22mL) \\ \text{Mass}=10,001,053.22mL*(0.736g)/(mL) \\ \text{Mass=}10,001,053.22\cancel{mL}*\frac{0.736g}{\cancel{mL}} \\ \text{Mass}=7,360,775.17\text{grams} \end{gathered}`

Convert the mass in grams to kilograms

Recall that 1000g = 1kg

Hence the required mass in kg that is in 2642 gal. of a solution whose density you experimentally determined to be 0.736 g/mL is 7360.775kg