Chemistry Midterm Exam Solutions, Winter 2006, Lecture notes of Chemistry

The solutions to the midterm exam for the Chem201 course during the Winter 2006 semester. It includes calculations for molarity, concentration, pCl-, volume of reagents, statistical analysis, and absorbance vs. concentration equations.

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Chem201, Winter 2006 Name Answer key______________
Midterm N1
01/26/06
SID___________________________
1.
A solution is prepared by dissolving 25.8 grams on magnesium chloride (MgCl2) in water
to produce 250.0 mL of solution. Molecular weight of the MgCl2 is 95.3 g/mol.
Molecular weights of Mg and Cl are 24.3 g/mol and 35.5 g/mol, respectively.
a.
Calculate the molarity of the chloride ion in the solution. (3points)
nCl- = 2 n MgCl2 = 2 (m MgCl2/ MW MgCl2) = 0.541 moles
MCl- = nCl- / volume = 0.541 moles / 0.25 L = 2.17 M
b.
What is the concentration of the Cl- in ppm? (3points)
Cl- ppm = mass Cl- (mg) / volume = nCl- MWCl- / volume = 0.541 x 35.5 x 1000 / 0.25L =
76840 ppm = 7.68 x 104 ppm
c.
Calculate the pCl- value for this solution. (3points)
pCl- = -log [2.17] = -0.34
2.
A bottle of a concentrated aqueous sulfuric acid is labeled 98.0 wt % H2SO4 (Molecular
weight is 98.09 g/mol) has a concentration of 18.0 M.
a.
How many milliliters of reagent should be diluted to 1.000 L to give 1.00 M
H2SO4? (5 points)
Vcon = Vdil x (Mdil / Mcon) = 1000 mL x ( 1.00 M / 18.0 M) = 55.6 M
b.
Calculate the density of 98.0 wt % H2SO4 (5 points)
Mass of the 1 liter of H2SO4: (18 moles) (98.09) = 1.77 x 103 gr.
Mass of the 1 mL of H2SO4: 1.77 g
d = mass / weight % = 1.77 g / (0.98 g H2SO4 /g solution) = 1.8 g/mL
3.
How many milliliters of 3.00 M sulfuric acid are required to react with 4.35 g of solid
containing 23.2 g wt % Ba(NO3)2 if the reaction is:
Ba2+ + SO42- BaSO4? (5 points)
Molecular weights of BaSO4 is 233.0 g/mole and Ba(NO3)2 is 261.3 g/mol.
Mass Ba(NO3)2 is 0.232 x 4.35 = 1.01 g
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Chem201, Winter 2006 Name Answer key ______________ Midterm N 01/26/ SID___________________________

  1. A solution is prepared by dissolving 25.8 grams on magnesium chloride (MgCl 2 ) in water to produce 250.0 mL of solution. Molecular weight of the MgCl 2 is 95.3 g/mol. Molecular weights of Mg and Cl are 24.3 g/mol and 35.5 g/mol, respectively.

a. Calculate the molarity of the chloride ion in the solution. (3points)

n (^) Cl- = 2 n (^) MgCl2 = 2 (m (^) MgCl2 / MW (^) MgCl2 ) = 0.541 moles

M (^) Cl- = n (^) Cl- / volume = 0.541 moles / 0.25 L = 2.17 M

b. What is the concentration of the Cl -^ in ppm? (3points)

Cl -^ ppm = mass Cl -^ (mg) / volume = n (^) Cl- MW (^) Cl- / volume = 0.541 x 35.5 x 1000 / 0.25L =

76840 ppm = 7.68 x 10 4 ppm

c. Calculate the pCl -^ value for this solution. (3points)

pCl -^ = -log [2.17] = -0.

  1. A bottle of a concentrated aqueous sulfuric acid is labeled 98.0 wt % H 2 SO 4 (Molecular weight is 98.09 g/mol) has a concentration of 18.0 M.

a. How many milliliters of reagent should be diluted to 1.000 L to give 1.00 M H 2 SO 4? (5 points)

V (^) con = V (^) dil x (M (^) dil / M (^) con ) = 1000 mL x ( 1.00 M / 18.0 M) = 55.6 M

b. Calculate the density of 98.0 wt % H 2 SO 4 (5 points)

Mass of the 1 liter of H 2 SO 4 : (18 moles) (98.09) = 1.77 x 10 3 gr. Mass of the 1 mL of H 2 SO 4 : 1.77 g

d = mass / weight % = 1.77 g / (0.98 g H 2 SO 4 /g solution) = 1.8 g/mL

  1. How many milliliters of 3.00 M sulfuric acid are required to react with 4.35 g of solid containing 23.2 g wt % Ba(NO 3 ) 2 if the reaction is:

Ba 2+^ + SO 4 2-^ BaSO 4? (5 points)

Molecular weights of BaSO 4 is 233.0 g/mole and Ba(NO 3 ) 2 is 261.3 g/mol.

Mass Ba(NO 3 ) 2 is 0.232 x 4.35 = 1.01 g

  1. A sample is certified to contain 94.6 ppm of a contaminant. Your analysis gives values of 98.6, 98.4, 97.2, 94.6 and 96.2 ppm. Do you results differ from the expected result at following confidence levels: i) 95%, ii) 99% and iii) 99.9%. (9points)

s = 1.65 =

Significant difference

No significant difference

No, significant difference

  1. Using the appropriate statistical test, decide whether the value 216 should be rejected from the set of result: 192, 216, 202, 195 and 204? (3 points)

Gap = 12 Range = 24

Value to be retained.

chloroform and DDT, respectively. Find the concentration of DDT in unknown. ( points) Chloroform is S , and DDT is X :

Concentration of the chloroform in unknown:

For the unknown mixture:

DDT in unknown:

  1. A beaker contains 250.0 mL of 0.150 molar silver ion (Ag +^ ). To this beaker is added 250.0 mL of 0.300 molar bromide ion (Br -^ ). What is the concentration of Ag +^ in the final solution? K (^) sp for the AgBr is 5.0  10 -13^? (5 points)

Final concentration of the Ag +^ and Br -^ :

Br -^ ion is in excess: 0.150 – 0.075 = 0.075 M. [Ag +^ ] = x and [Br -^ ] = (x+0.075)

Assuming x << 0.075, we have

x = [Ag +^ ] = 6.67  10 -^.

  1. Iron in the +2 oxidation state reacts with potassium dichromate to produce Fe 3+^ and Cr 3+ according to the equation:

6 Fe 2+^ + Cr 2 O 7 2-^ + 14 H +^ 6 Fe 3+^ + 2 Cr 3+^ + 7 H 2 O How many milliliters of 0.1658 molar K 2 Cr 2 O 7 are required to titrate 200.0 mL of 0. molar Fe 2+^ solution? (5 points)

Therefore,

  1. A mixture having a volume of 10.0 mL and containing 0.100 M Ag +^ and 0.100 M Hg 2 2+ was titrated with 0.100 M KCN to precipitate Hg 2 (CN) 2 (K (^) sp = 5 10 -40^ ) and AgCN (K (^) sp = 2.2 10 -16^ ). Calculate the concentration of the CN -^ at each of the following volumes of added KCN:

Hg 2 2+^ will precipitate first and the equivalence point is at 20.00 mL. And the second equivalence point is at 30 mL. At 5 and 15 mL there is an excess of unreacted Hg 2 2+^. a. 5.00 mL (5points)

b. 15.00 mL (5points)

c. 35.00 mL (5points) At 35.00 mL, there are 5 mL excess of the [CN -^ ]:

11. Calculate the concentration of Ag+^ in saturated solutions of Ag 2 CO 3

(K sp = 8.1 10 -12^ ) in:

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