Question

How many grams of olive oil will fit into a container that holds 5 L?

Answer 1

The mass of olive oil to 1 significant figure is 4000g

Explanation

Given information

The volume of the container = 5.0L

The specific gravity of olive oil = 0.703 g/mL

Let x represents the mass of the olive oil

To calculate the mass of olive oil, we will be using the formula below

`\text{Density = }\frac{\text{ mass}}{\text{ volume}}`

Firstly, we need to find the density of olive oil using the below formula

`\begin{gathered} \text{Specific gravity = }\frac{density\text{ of olive oil}}{\text{density of water}} \\ \text{Density of water = 0.999 g/ml} \\ 0.703\text{ = }\frac{\text{ density of olive oil}}{\text{ 0}.999} \\ \text{cross multiply} \\ \text{Density of olive oil = 0.703 }\cdot\text{ 0.999} \\ \text{ density of olive oil = 0.702297 g/ml} \end{gathered}`

Therefore, the density of olive oil is 0.702297 g/ml

To have unit consistency, we need to convert the volume from Liters to milliliters

Recall that, 1 Liter is equivalent to 1000mL

Let x represents the volume to be converted to mL

`\begin{gathered} 1\text{ }\rightarrow\text{ 1000} \\ 5\text{ }\rightarrow\text{ x} \\ \text{cross multiply} \\ 1\cdot\text{ x = 1000 }\cdot\text{ 5} \\ x\text{ = 500mL} \end{gathered}`

Since the volume is 5000mL, we can now find our mass

`\begin{gathered} \text{Density = }\frac{mass}{\text{volume}} \\ 0.702297\text{ = }(mass)/(5000) \\ \text{cross multiply} \\ \text{mass = 0.702297 x 5000} \\ \text{mass = 3}511.485\text{ gram} \\ The\text{ mass of olive oil to 1 significant figure is 4000 grams} \end{gathered}`