HCl is a monoprotic acid, which means that each mole of HCl releases one mole of hydrogen ions upon dissociation. Therefore, we calculate the moles of HCl present using:
Moles = Molarity * Volume (in liters)
Moles = 11.6 * 0.015
Moles = 0.174 moles of HCl = moles of H+ ions
Now, we use the same formula to calculate the molarity of the new solution, since the number of moles remains constant.
0.174 = M * 0.5
M = 0.348 M
The molarity of the new solution is 0.348