Respuesta :
Answer:
[tex]7360.775\operatorname{kg}[/tex]Explanations:
The formula for calculating the density of a substance will be used to get the required mass:
[tex]\text{Density=}\frac{Mass}{Volume}[/tex]Given the following parameters;
[tex]\begin{gathered} \text{Density=0.736}\frac{g}{mL} \\ \text{Volume=2642gal} \end{gathered}[/tex]Convert gallons to mL using the conversion rate.
[tex]\begin{gathered} 1\text{gal=}3785.41mL \\ 2642\text{gal}=(2642\cdot3785.41)=10,001,053.22mL \end{gathered}[/tex]Substitute the given parameters into the formula as shown:
[tex]\begin{gathered} 0.736\text{g/ml}=\frac{Mass}{10,001,053.22mL} \\ \text{Mass}=10,001,053.22mL\times\frac{0.736g}{mL} \\ \text{Mass=}10,001,053.22\cancel{mL}\times\frac{0.736g}{\cancel{mL}} \\ \text{Mass}=7,360,775.17\text{grams} \end{gathered}[/tex]Convert the mass in grams to kilograms
Recall that 1000g = 1kg
[tex]\begin{gathered} \text{Mass=}7,360,775.16grams\times\frac{1\operatorname{kg}}{1000\text{grams}} \\ \text{Mass}=\text{=}7,360,775.16\cancel{\text{grams}}\times\frac{1\operatorname{kg}}{1000\cancel{\text{grams}}} \\ \text{Mass}=7360.775\operatorname{kg} \end{gathered}[/tex]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
