Tuesday, August 22, 2017

How many milliliters of water are needed to make a 0.711 M solution that contains 1.00 g of NaCl?

Molarity is equal to the number of moles of solute per liters of solution.


   Molarity (M) = moles (mol)/liter (L) 


Step 1: Rearrange the formula to solve for liters.


First, multiply both sides of the formula by 1/moles. "moles" cancels out on the right side of the formula giving us:


   Molarity (M)/moles (mol) = 1/liters (L)


Next, flip both sides of the formula:


   moles (mol)/Molarity (M) = liters (L)/1


Finally...

Molarity is equal to the number of moles of solute per liters of solution.


   Molarity (M) = moles (mol)/liter (L) 


Step 1: Rearrange the formula to solve for liters.


First, multiply both sides of the formula by 1/moles. "moles" cancels out on the right side of the formula giving us:


   Molarity (M)/moles (mol) = 1/liters (L)


Next, flip both sides of the formula:


   moles (mol)/Molarity (M) = liters (L)/1


Finally, rewrite the formula so that the unknown variable (liters) is on the left side of the formula:


     liters (L) = moles (mol)/Molarity (M)


Step 2: Change grams to moles.


First, we will need to calculate the molar mass of the substance (NaCl). The molar mass of a substance is calculated by multiplying each atom's subscript by its atomic mass, and adding the resulting products together:


   Molar mass of NaCl = (1)(22.990) + (1)(35.453) = 58.443 g/mol


Next, convert the given grams of NaCl (1.00 g) to moles by dividing by the molar mass of NaCl:


  1.00 g x 1 mol/58.443 g = 0.0171 mol NaCl


Step 3: Use the rearranged molarity formula from Step 1 to solve for liters (L).


   liters (L) = moles (mol)/Molarity (M)


   liters (L) = 0.0171/0.711 M = 0.0241 L


Step 4: Convert liters to milliliters by moving the decimal point three places to the right.


   0.0241 L = 24.1 mL of water

No comments:

Post a Comment