Question

1. The concentration of Vitamin B complex in a certain vitamin mixture is 8 ppb. How many µg of the complex should be added when a drug company is making a 6 kg batch of vitamins?

Answer 1

48 µg of the complex should be added when a drug company is making a 6 kg batch of vitamins.

Explanation:

Given : The concentration of Vitamin B complex in a certain vitamin mixture is 8 ppb.

To find : How many µg of the complex should be added when a drug company is making a 6 kg batch of vitamins?

Solution :

The formula used to find the mass is given by,

`\text{ppb of solute}=\frac{\text{Mass of solute}}{\text{Mass of solution}}* 10^9`

ppb denotes parts per billion.

We have given, concentration of vitamin B complex is 8 ppb.

Mass of solution is 6 kg =
`6* 10^9\ \mu g`

(As
`1\ kg=10^9\ \mu g`)

Substitute in the formula,

`8=\frac{\text{Mass of solute}}{6* 10^9}* 10^9`

`8=\frac{\text{Mass of solute}}{6}`

`Mass of solute=8* 6`

`Mass of solute=48\ \mu g`

Therefore, 48 µg of the complex should be added when a drug company is making a 6 kg batch of vitamins.