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Molarity


QBA Miguel A. Castro Ramírez



      LecturePLUS Timberlake1
Molarity (M)

A concentration that expresses the
moles of solute in 1 L of solution

   Molarity (M) =   moles of solute
                    1 liter solution




             LecturePLUS Timberlake2
Units of Molarity

2.0 M HCl          =    2.0 moles HCl
                        1 L HCl solution

6.0 M HCl          =    6.0 moles HCl
                        1 L HCl solution




              LecturePLUS Timberlake3
Molarity Calculation
NaOH is used to open stopped sinks, to treat
cellulose in the making of nylon, and to
remove potato peels commercially.



If 4.0 g NaOH are used to make 500. mL of
NaOH solution, what is the molarity (M) of the
solution?
               LecturePLUS Timberlake4
Calculating Molarity
1) 4.0 g NaOH x 1 mole NaOH = 0.10 mole NaOH
                40.0 g NaOH

2) 500. mL x   1L_        = 0.500 L
               1000 mL

3. 0.10 mole NaOH         = 0.20 mole NaOH
  0.500 L                      1L
                          = 0.20 M NaOH
               LecturePLUS Timberlake5
Learning Check M1
A KOH solution with a volume of 400 mL
contains 2 mole KOH. What is the molarity
of the solution?

1) 8 M
2) 5 M




                                          o
                                        an
3) 2 M




                                      Dr
            LecturePLUS Timberlake6
Solution M1
A KOH solution with a volume of 400 mL
contains 2 moles of KOH. What is the
molarity of the solution?

2) 5 M
M = 2 mole KOH = 5 M




                                          o
                                        an
       0.4 L




                                      Dr
            LecturePLUS Timberlake7
Learning Check M2

A glucose solution with a volume of 2.0 L
contains 72 g glucose (C6H12O6). If glucose
has a molar mass of 180. g/mole, what is
the molarity of the glucose solution?

1) 0.20 M
2) 5.0 M
3) 36 M
             LecturePLUS Timberlake8
Solution M2

A glucose solution with a volume of 2.0 L
contains 72 g glucose (C6H12O6). If glucose
has a molar mass of 180. g/mole, what is
the molarity of the glucose solution?

1) 72 g   x   1 mole x     1     =      0.20 M
               180. g      2.0 L


              LecturePLUS Timberlake9
Molarity Conversion Factors

A solution is a 3.0 M NaOH.. Write the
molarity in the form of conversion factors.

 3.0 moles NaOH and        1 L NaOH soln
 1 L NaOH soln             3.0 moles NaOH



             LecturePLUS Timberlake10
Learning Check M3

Stomach acid is a 0.10 M HCl solution. How
many moles of HCl are in 1500 mL of stomach
acid solution?
1) 15 moles HCl
2) 1.5 moles HCl
3) 0.15 moles HCl



             LecturePLUS Timberlake11
Solution M3

3) 1500 mL x     1 L   =     1.5 L
               1000 mL

  1.5 L x 0.10 mole HCl = 0.15 mole HCl
                 1L
              (Molarity factor)


            LecturePLUS Timberlake12
Learning Check M4

How many grams of KCl are present in 2.5 L
of 0.50 M KCl?

1) 1.3 g
2) 5.0 g
3) 93 g


              LecturePLUS Timberlake13
Solution M4

3)
2.5 L x 0.50 mole x 74.6 g KCl = 93 g KCl
         1L           1 mole KCl




              LecturePLUS Timberlake14
Learning Check M5
How many milliliters of stomach acid, which is
0.10 M HCl, contain 0.15 mole HCl?

1) 150 mL
2) 1500 mL
3) 5000 mL




               LecturePLUS Timberlake15
Solution M5

2) 0.15 mole HCl x 1 L soln        x 1000 mL
                   0.10 mole HCl       1L
                   (Molarity inverted)

                   = 1500 mL HCl



               LecturePLUS Timberlake16
Learning Check M6

How many grams of NaOH are required to
prepare 400. mL of 3.0 M NaOH solution?

1) 12 g
2) 48 g
3) 300 g



              LecturePLUS Timberlake17
Solution M6
2) 400. mL x 1 L   = 0.400 L
            1000 mL


0.400 L x 3.0 mole NaOH x 40.0 g NaOH
              1L          1 mole NaOH
                             (molar mass)

                             = 48 g NaOH

             LecturePLUS Timberlake18

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MOLARITY

  • 1. Molarity QBA Miguel A. Castro Ramírez LecturePLUS Timberlake1
  • 2. Molarity (M) A concentration that expresses the moles of solute in 1 L of solution Molarity (M) = moles of solute 1 liter solution LecturePLUS Timberlake2
  • 3. Units of Molarity 2.0 M HCl = 2.0 moles HCl 1 L HCl solution 6.0 M HCl = 6.0 moles HCl 1 L HCl solution LecturePLUS Timberlake3
  • 4. Molarity Calculation NaOH is used to open stopped sinks, to treat cellulose in the making of nylon, and to remove potato peels commercially. If 4.0 g NaOH are used to make 500. mL of NaOH solution, what is the molarity (M) of the solution? LecturePLUS Timberlake4
  • 5. Calculating Molarity 1) 4.0 g NaOH x 1 mole NaOH = 0.10 mole NaOH 40.0 g NaOH 2) 500. mL x 1L_ = 0.500 L 1000 mL 3. 0.10 mole NaOH = 0.20 mole NaOH 0.500 L 1L = 0.20 M NaOH LecturePLUS Timberlake5
  • 6. Learning Check M1 A KOH solution with a volume of 400 mL contains 2 mole KOH. What is the molarity of the solution? 1) 8 M 2) 5 M o an 3) 2 M Dr LecturePLUS Timberlake6
  • 7. Solution M1 A KOH solution with a volume of 400 mL contains 2 moles of KOH. What is the molarity of the solution? 2) 5 M M = 2 mole KOH = 5 M o an 0.4 L Dr LecturePLUS Timberlake7
  • 8. Learning Check M2 A glucose solution with a volume of 2.0 L contains 72 g glucose (C6H12O6). If glucose has a molar mass of 180. g/mole, what is the molarity of the glucose solution? 1) 0.20 M 2) 5.0 M 3) 36 M LecturePLUS Timberlake8
  • 9. Solution M2 A glucose solution with a volume of 2.0 L contains 72 g glucose (C6H12O6). If glucose has a molar mass of 180. g/mole, what is the molarity of the glucose solution? 1) 72 g x 1 mole x 1 = 0.20 M 180. g 2.0 L LecturePLUS Timberlake9
  • 10. Molarity Conversion Factors A solution is a 3.0 M NaOH.. Write the molarity in the form of conversion factors. 3.0 moles NaOH and 1 L NaOH soln 1 L NaOH soln 3.0 moles NaOH LecturePLUS Timberlake10
  • 11. Learning Check M3 Stomach acid is a 0.10 M HCl solution. How many moles of HCl are in 1500 mL of stomach acid solution? 1) 15 moles HCl 2) 1.5 moles HCl 3) 0.15 moles HCl LecturePLUS Timberlake11
  • 12. Solution M3 3) 1500 mL x 1 L = 1.5 L 1000 mL 1.5 L x 0.10 mole HCl = 0.15 mole HCl 1L (Molarity factor) LecturePLUS Timberlake12
  • 13. Learning Check M4 How many grams of KCl are present in 2.5 L of 0.50 M KCl? 1) 1.3 g 2) 5.0 g 3) 93 g LecturePLUS Timberlake13
  • 14. Solution M4 3) 2.5 L x 0.50 mole x 74.6 g KCl = 93 g KCl 1L 1 mole KCl LecturePLUS Timberlake14
  • 15. Learning Check M5 How many milliliters of stomach acid, which is 0.10 M HCl, contain 0.15 mole HCl? 1) 150 mL 2) 1500 mL 3) 5000 mL LecturePLUS Timberlake15
  • 16. Solution M5 2) 0.15 mole HCl x 1 L soln x 1000 mL 0.10 mole HCl 1L (Molarity inverted) = 1500 mL HCl LecturePLUS Timberlake16
  • 17. Learning Check M6 How many grams of NaOH are required to prepare 400. mL of 3.0 M NaOH solution? 1) 12 g 2) 48 g 3) 300 g LecturePLUS Timberlake17
  • 18. Solution M6 2) 400. mL x 1 L = 0.400 L 1000 mL 0.400 L x 3.0 mole NaOH x 40.0 g NaOH 1L 1 mole NaOH (molar mass) = 48 g NaOH LecturePLUS Timberlake18