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