A bottle containing 225 g of cleaning solution is used to clean hospital equipment. It's specific gravity is 0.830, what is the volume in millimeters of solution was used

Respuesta :

Answer: The volume of solution that was used is 271.08 mL

Explanation:

The relationship between specific gravity and density of a substance is given as:

[tex]\text{Specific gravity}=\frac{\text{Density of a substance}}{\text{Density of water}}[/tex]

We are given:

Specific gravity of water = 0.830

Density of water = 1.00 g/mL

Putting values in above equation we get:

[tex]0.830=\frac{\text{Density of solution}}{1.00g/mL}\\\\\text{Density of solution}=(0.830\times 1.00g/mL)=0.830g/mL[/tex]

To calculate the volume of solution, we use the equation:

[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]

Density of solution = 0.830 g/mL

Mass of solution = 225 g

Putting values in above equation, we get:

[tex]0.830g/mL=\frac{225g}{\text{Volume of solution}}\\\\\text{Volume of solution}=\frac{225g}{0.830g/mL}=271.08mL[/tex]

Hence, the volume of solution that was used is 271.08 mL