The morality of a solute in solution is defined to be the

QUESTION:

The molarity of a solute in solution is defined to be the number of moles of solute per liter of solution \(\left(1 \text { mole }=6.02 \times 10^{23} \text { molecules }\right)\). If X is the molarity of a solution of magnesium chloride \(\left(\mathrm{MgCl}_{2}\right)\), and Y is the molarity of a solution of ferric chloride \(\left(\mathrm{FeCl}_{3}\right)\), the molarity of chloride ion \(\left(\mathrm{Cl}^{-}\right)\) in a solution made of equal parts of the solutions of \(\mathrm{MgCl}_{2}\) and \(\mathrm{FeCl}_{3}\) is given by \(M=X+1.5Y\). Assume that X has mean 0.125 and standard deviation 0.05, and that Y has mean 0.350 and standard deviation 0.10.

a. Find \(\mu_M\).

b. Assuming X and Y to be independent, find (\sigma_M\).

Equation Transcription:

Text Transcription:

(1 mole=6.02x10^23 molecules)

(MgCl_2)

(FeCl_3)

(Cl^-)

MgCl_2

FeCl_3

M=X+1.5Y

mu_M

sigma_M