# Question 9ae93

Jul 9, 2017

$1.682 M$

#### Explanation:

The formula for molarity is

$\text{molarity" = "mol solute"/"L soln}$

We therefore need to find the number of moles of $\text{HCl}$ and the number of liters of solution.

The moles of $\text{HCl}$ is found via its molar mass ($36.46$ $\text{g/mol}$):

44.78cancel("g HCl")((1color(white)(l)"mol HCl")/(36.46cancel("g HCl"))) = color(red)(1.228 color(red)("mol HCl"

The number of liters of solution is

730.05cancel("mL")((1color(white)(l)"L")/(10^3cancel("mL"))) = color(green)(0.73005 color(green)("L"

Plugging these into the molarity equation, we have

"molarity" = (color(red)(1.228)color(white)(l)color(red)("mol"))/(color(green)(0.73005)color(white)(l)color(green)("L")) = color(blue)(1.682M#