Solutions to Lab Problems

 
  1) A 157.82 g sample of MgNO3 . ???H2O in an evaporating dish is heated until it is dry.  The mass of the evaporating dish is 152 g.  The mass of the anhydrous sample and the evaporating dish is 154.58 g MgNO3.  What is the formula for the hydrate and name the hydrate?

sample + dish  =  157.82 g
             -dish  =   152     g
                              5.82 g sample w water

dry sample + dish  = 154.58 g
                    -dish  =   152     g
                                  2.58 g sample w/out water

wet sample       5.82 g 
- dry sample     2.58 g
         water      3.24 g  

[2.58 g MgNO3  ][1 mol MgNO3 ]  = .03 mol
                            [86 g MgNO3 ]

[3.24 g H2O][1 mol H2O]  =  0.18 mol
                     [18 g H2O]

    [.03]  =  1       [.18]  =   6      
    [.03]               [.03]

MgNO3 . 6H2O

magnesium nitrate hexahydrate

2) A 0.36 g sample of  Mg is reacted with an excess of hydrochloric acid at  24C and 
    100.1 KPa.  The resulting hydrogen gas is collected under water.  The objective is to 
     generate the ideal gas constant experimentally.  The volume of the gas collected was 
    368 mL.  What was the ideal gas constant found in lab?  What was the percent error?
              

               Mg  +   2HCl  -->  MgCl2  +  H2

[0.36 g Mg][  1 mol Mg][1 mol H]  =  0.015 mol  H2
                   [ 24.3 g Mg][1 mol Mg]

mol = 0.015 mol  H2
atmospheric pressure = 100.1 KPa
water vapor pressure at 24C is 3.0 KPa
pressure of dry gas = 97.1 KPa
temperature = 24 + 273K = 297 K 
volume = 368 mL = 0.368 L = 0.368
dm3

 pv = nRt   R= pv
                       nt

  R  =  [97.1 KPa][0.368 dm3] =    8.02 Kpa dm3
           [0.015 mol][297K]                       mol  K

% error = [8.31-8.02] * 100  =   2.3% error
                     [8.31]

3) How many mL of 1.00 M NaOH are needed to neutralize a 10.00 mL aliquot of
    1 M HCl after it has been partially neutralized to a .20 M HCl solution by the
     addition of 0.25 g CaCO3 antacid?

     HCl + NaOH <--> NaCl + HOH

  [10.00 mL HCl][        1 L HCl][.20 mol HCl][1 mol NaOH][1L NaOH        ][1000 mL NaOH] =
                            [1000mL HCl][1 L HCl       ][1 mol HCl    ][1.0 mol NaOH][1L NaOH          ]

  10 mL NaOH required to neutralize HCl