Insulin is a protein that is used by the body to regulate both carbohydrate and fat metabolism. A bottle contains 475 mL of insulin at a concentration of 30.0 mg/mL . What is the total mass of insulin in the bottle?

Verified Answer :

Knowing that:
C = Common concentration 
m = Mass of the solute 
V = Volume of solution 

Data:

C = 30 mg/mL 
m = ?
v = 475 mL

Formula:

\(C = \frac{m}{v}\)

Solving:

\(C = \frac{m}{v}\)
\(30\:mg/\diagup\!\!\!\!m\diagup\!\!\!\!L = \frac{m}{475\:\diagup\!\!\!\!m\diagup\!\!\!\!L}\)
\(m = 30*475\)
\(\boxed{m= 14250\:mg}or\:\boxed{m\approx14.25\:g}\end{array}}\qquad\quad\checkmark\)

Answer:
\(\underline{the\:total\:mass\:of\:insulin\:in\:the\:bottle\:is\:14.25\:grams}\)