Making Molar

Solutions From Liquids(More accurately, from

stock solutions)

Making molar solutions from liquidsMaking molar solutions from liquids

Not all compounds are in a solid form

Acids are purchased as liquids (“stock solutions”). Yet, we still need a way to make molar solutions of these compounds.

The Procedure is similar:Use pipette to measure moles (via volume) Use volumetric flask to measure volume

Now we use the equation M1V1 = M2V2

1 is starting (concentrated conditions)2 is ending (dilute conditions)

Identify each volume to two decimal places(values tell you how much you have expelled)

4.48 - 4.50 4.86 - 4.87 5.00

Reading a pipetteReading a pipette

Practice using a pipettePractice using a pipette• Always keep pipette vertical• To rinse: take up water, remove green filler,

rotate pipette, replace filler, expel water• If filler can not take up or expel enough

liquid, remove, place finger over pipette, turn knob, replace filler.

• Take up water to 0 mark. Measure 3.2 mL into 10 mL cylinder. (one per person)

• If drop is hanging off, touch to cylinder• Repeat with 1.7 mL and 5.1 mL__________________________________• If done correctly you should get 10 mL in

graduated cylinder

The Dilution formulaThe Dilution formulaE.g. if we have 1 L of 3 M HCl, what is M if

we dilute acid to 6 L?

M1 = 3 mol/L, V1 = 1 L, V2 = 6 L

M1V1 = M2V2, M1V1/V2 = M2

M2 = (3 mol/L x 1 L) / (6 L) = 0.5 MWhy does the formula work? Because we are equating mol to mol:

M1V1 = 3 mol

V1 = 1 LM1 = 3 M

V2 = 6 LM2 = 0.5 M

M2V2 = 3 mol

Practice problemsPractice problemsQ – What volume of 0.5 M HCl can be

prepared from 1 L of 12 M HCl?M1 = 12 mol/L, V1 = 1 L, M2 = 0.5 LM1V1 = M2V2, M1V1/M2 = V2

V2 = (12 mol/L x 1 L) / (0.5 L) = 24 LQ – 1 L of a 3 M HCl solution is added to 0.5 L

of a 2 M HCl solution. What is the final concentration of HCl? (hint: first calculate total number of moles and total number of L)# mol = (3 mol/L)(1 L) + (2 mol/L)(0.5 L)

= 3 mol + 1 mol = 4 mol# L = 1 L + 0.5 L = 1.5 L# mol/L = 4 mol / 1.5 L = 2.67 mol/L

Do 1 – 8 on handout. Try 6

two ways

1. How many mL of a 14 M stock solution must be used to make 250 mL of a 1.75 M solution?

2. You have 200 mL of 6.0 M HF. What concentration results if this is diluted to a total volume of 1 L?

3. 100 mL of 6.0 M CuSO4 must be diluted to what final volume so that the resulting solution is 1.5 M?

4. What concentration results from mixing 400 mL of 2.0 M HCl with 600 mL of 3.0 M HCl?

5. What is the concentration of NaCl when 3 L of 0.5 M NaCl are mixed with 2 L of 0.2 M NaCl?

6. What is the concentration of NaCl when 3 L of 0.5 M NaCl are mixed with 2 L of water?

7. Water is added to 4 L of 6 M antifreeze until it is 1.5 M. What is the total volume of the new solution?

8. There are 3 L of 0.2 M HF. 1.7 L of this is poured out, what is the concentration of the remaining HF?

Dilution problems (1-6, 6 two ways)Dilution problems (1-6, 6 two ways)1.

M1 = 14 M, V1 = ?, M2 = 1.75 M, V2 = 250 mLV1 = M2V2 / M1 = (1.75 M)(0.250 L) / (14 M)V1 = 0.03125 L = 31.25 mL

2.M1 = 6 M, V1 = 0.2 L, M2 = ?, V2 = 1 LM2 = M1V1 / V2 = (6 M)(0.2 L) / (1 L)M2 = 1.2 M

3.M1 = 6 M, V1 = 100 mL, M2 = 1.5 M, V2 = ?V2 = M1V1 / M2 = (6 M)(0.100 L) / (1.5 M)V2 = 0.4 L or 400 mL

Dilution problems (4 - 6)Dilution problems (4 - 6)4. # mol = (2.0 mol/L)(0.4 L) + (3.0 mol/L)(0.6 L)

= 0.8 mol + 1.8 mol = 2.6 mol # L = 0.4 L + 0.6 L # mol/L = 2.6 mol / 1 L = 2.6 mol/L

5. # mol = (0.5 mol/L)(3 L) + (0.2 mol/L)(2 L) = 1.5 mol + 0.4 mol = 1.9 mol

# mol/L = 1.9 mol / 5 L = 0.38 mol/L6. # mol = (0.5 mol/L)(3 L) + (0 mol/L)(2 L)

= 1.5 mol + 0 mol = 1.5 mol # mol/L = 1.5 mol / 5 L = 0.3 mol/LOr, using M1V1 = M2V2,

M1 = 0.5 M, V1 = 3 L, M2 = ?, V2 = 5 L

7.M1 = 6 M, V1 = 4 L, M2 = 1.5 M, V2 = ?

V2 = M1V1 / M2 = (6 M)(4 L) / (1.5 M)

V2 = 16 L

8. The concentration remains 0.2 M, both volume and moles are removed when the solution is poured out. Remember M is mol/L. Just like the density of a copper penny does not change if it is cut in half, the concentration of a solution does not change if it is cut in half.

Dilution problems (7, 8)Dilution problems (7, 8)

Practice making molar solutionsPractice making molar solutions• Calculate # of mL of 1 M HCl required to make 100

mL of a 0.1 M solution of HCl• Get volumetric flask, pipette, plastic bottle, 100 mL

beaker, 50 mL beaker, eyedropper. Rinse all with tap water. Dry 50 mL beaker

• Place about 20 mL of 1 M HCl in 50 mL beaker• Rinse pipette, with small amount of acid• Fill flask about 1/4 full with distilled water• Add correct amount of acid with pipette. Mix.• Add water to line (use eyedropper at the end)• Place solution in plastic bottle• Label bottle. Place at front of the room.• Rinse and return all other equipment.

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