305,759 views
19 votes
19 votes
What volume of the water in liters contains 250 mgmg of benzene? (Assume that the density of the solution is 1.0 g/mLg/mL.)

What volume of the water in liters contains 250 mgmg of benzene? (Assume that the-example-1
User Sanjeev Barnwal
by
2.8k points

1 Answer

15 votes
15 votes

Answer:


555,555.6\text{ mL}

Step-by-step explanation:

Here,we want to get the volume of water that contains 250 mg of benzene

From the question,we have it that the percentage by mass of benzene in water is 4.5 * 10^-5%

This corresponds to the 250 mg (this is same as 250/1000 = 0.25 g)

Let us say the mass of the water that contains the benzene is x g

4.5 * 10^-5% = 0.25 g

100% = x g

To get x, we have it that:


\begin{gathered} x\text{ = }\frac{1\text{ }*0.25}{4.5*10^(-7)} \\ \\ =555,555.56\text{ g} \end{gathered}

We have to get the volume from this

Mathematically, volume will be mass divided by density (given as 1 g/mol)

Thus,we have the volume as:


555,555.6\text{ mL}

User Ajeet Verma
by
2.7k points