To determine how many liters of a 4.0 M NaCl solution can be made with 132g of NaCl, convert grams to moles using the molar mass, then divide by the molarity. The calculation yields approximately 0.56 liters of solution.
The student is asking how many liters of a 4.0 M NaCl solution can be made with 132g of NaCl. To determine this, we first convert from grams to moles of NaCl using the molar mass of NaCl (58.44 g/mol) as a unit conversion factor. By dividing 132g by 58.44 g/mol, we obtain approximately 2.26 moles of NaCl.
Knowing that Molarity (M) is defined as moles of solute per liter of solution (mol/L), we can rearrange the equation M = moles/L to solve for the volume (L) by dividing the moles of NaCl by the molarity. So, volume = 2.26 moles / 4.0 M, which gives us a final volume of approximately 0.565 liters or 0.56 liters when rounded to two significant figures.
Thus, with 132g of NaCl, one can make approximately 0.56 liters of a 4.0 M NaCl solution, which is closest to option C) 0.9L, assuming the question intended to offer a nearly correct choice.