Question

Find the mass in kg of 5.00 gal of water when the water density is 0.997 g/mL . Given: l gal = 4 qt, 1L = 1.057 qt. Give answer in kg

Answer 1

The mass of water is 18.87kg.

1st) It is necessary to convert the 5.00 gal into mL, knowing that 1 gal is equal to 1 qt, and 1 L is equal to 1.057 qt. Then we convert the L into mL:

`5.00\text{gal}\cdot\frac{4qt}{1\text{gal}}\cdot(1L)/(1.057qt)\cdot(1000mL)/(1L)=18,921.5mL`

2nd) Now, with the formula of density, we can calculate the mass of water replacing the values:

`\begin{gathered} \text{density}=(mass)/(volume) \\ 0.997g\cdot mL^(-1)=(mass)/(18,921.5mL) \\ \text{mass}=0.997g\cdot mL^(-1)\cdot18,921.5mL \\ \text{mass}=18,864.7g \end{gathered}`

3rd) Finally, it is necessary to convert the grams into kg:

So, the mass of water is 18.87kg.