Question

What volume of a 2% erythromycin solution can be made from 15 gm of erythromycin powder?

Answer 1

Let the volume of erythromycin solution be x

And given amount of erythromycin solution is 15 g

then

2% of x = 15 g

That is

`(2)/(100) * x = 15`

2x = 1500

x = 750

So, x found to be 750.

So, the volume of erythromycin solution found to be 750 mL that is 750 mL of a 2% erythromycin solution can be made from 15 gm of erythromycin powder.

Answer 2

The concentration of volume of solution can be expressed in many ways for example: mass percent, volume percent, mass-by-volume percent, etc.

The formula for mass-by-volume percent is:

mass-by-volume percent =
`(g of solute)/(100 mL of solution)`

2% erythromycin solution means 2 g of erythromycin in 100 mL.

Consider, for 15 g the volume be X mL.

So,

`(X mL)/(15 g) = (100 mL)/(2 g)`

`X= (100* 15)/(2)`

`X= 750 mL`

Hence, the volume is
`750 mL`.