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

Answer:

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

Step-by-step 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,

$\text{ppb of solute}=\frac{\text{Mass of solute}}{\text{Mass of solution}}\times 10^9$

ppb denotes parts per billion.

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

Mass of solution is 6 kg = $6\times 10^9\ \mu g$

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

Substitute in the formula,

$8=\frac{\text{Mass of solute}}{6\times 10^9}\times 10^9$

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

$Mass of solute=8\times 6$

$Mass of solute=48\ \mu g$

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