A lotion vehicle contains 15% v/v of glycerin. How much glycerin should be used in preparing 5 gallons of the lotion?
a. 2271 g glycerin
b. 3339.7 mL glycerin
c. 2671.8 g glycerin
d. 3548.4 g glycerin

Respuesta :

The glycerin should be used in preparing 5 gallons of the lotion is 3548.4 g. Thus, option D is correct.

According to the statement

we have given that the a vehicle contains 15% v/v of glycerin. and we have to find that the How much glycerin should be used in preparing 5 gallons of the lotion.

So, For this purpose, we know that the

15% v/v means that there will be 15 ml of glycerin in every 100 ml of lotion.

And The conversion would be :

We know that the

In 1 gallon = 3784 ml

5 gallons x 3784 ml = 18,920 ml

And

18,920 ml x 15 ml glycerin/100 ml = 2838 ml of glycerin

And the

Density of glycerin = 1.26 g/ml

So,

2838 ml x 1.26 g/ml = 3548.4 g glycerin.

So, The glycerin should be used in preparing 5 gallons of the lotion is 3548.4 g. Thus, option D is correct.

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