ANSWER
The mass of olive oil to 1 significant figure is 4000g
STEP-BY-STEP 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
[tex]\text{Density = }\frac{\text{ mass}}{\text{ volume}}[/tex]Firstly, we need to find the density of olive oil using the below formula
[tex]\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}[/tex]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
[tex]\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}[/tex]Since the volume is 5000mL, we can now find our mass
[tex]\begin{gathered} \text{Density = }\frac{mass}{\text{volume}} \\ 0.702297\text{ = }\frac{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}[/tex]