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Performance Task #5: University of San Agustin

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University of San Agustin

General Luna St., 5000 Iloilo City, Philippines


www.usa.edu.ph
BASIC EDUCATION DEPARTMENT
SENIOR HIGH SCHOOL

PERFORMANCE TASK #5

DIRECTION: Write your solution after each problem. Observe a systematic way of answering problems
solving (Given, Required, Analysis, Solution). Final answer should be red and must follow the correct number
of significant figure. 5 points each

% by mass

1. A solution is made by dissolving 125 g of sodium chloride in 1.5 kg of water. What is the percent by
mass?

Given:

Solute (NaCl) = 125g

Solvent (water) = 1.5 kg to g = 1500 g.

Required:

Calculate the percent by mass of NaCl solution.

Solution:

Percent mass =

( mass of solute/mass of solution) x 100%

a. Find the mass of the solution.

Solution= solute +solvent

= 125g + 1500g

= 1625 g

%mass of NaCl = (125g/165g) x100%

= 7.692%

Answer:

The percent mass of NaCl solution is 7.69%.


% by volume

1. What is the percent by volume of a solution formed by added 15 L of acetone to 28 L of water?

Given:

Solute (acetone) = 15L

Solvent (water) = 28L

Required:

Calculate the percent volume of acetone solution.

Solution:

Percent volume =

( volume of solute/volume of solution) x 100%

a. Find the volume of the solution.

Solution= solute +solvent

=15L + 28L

= 43L

%volume = (15L/43L) x100%

= 34.88%

Answer:

The percent volume of the solution is 35%.


Mole fraction

1. A solution containing 75 grams of ethanol (C2H6O) in 450 grams in water.

Given:

Solute (ethanol, C2H6O) = 75g

Solvent (water) = 450 g

Required:

Calculate the mole fraction.

Solution:

"mole fraction =

mole of component /total mole of solution

a. Calculate the moles of solute (ethanol, C2H6O)

(75gx 1mol)/46 grams = 1.6304 moles

b. Calculate the moles of water (450gx

1mol)/18 grams = 25 moles

c. Calculate the total moles of solution.

1.6304 moles + 25 moles =26.6304 moles

d. Calculate the mole fraction.

mole fraction =

mole of component /total mole of solution

= 1.6304 moles/26.6304 moles

= .0612

Answer:

The mole fraction of the solution is 0.0612.


Molarity
1.
734 grams of lithium sulfate, Li2SO4 are dissolved to make 2500 mL of solution. What is the molar
concentration?

Given:

The mass of lithium sulfate is 734 g.

The volume is 2500 ml-2.5L.

Required:

Calculate the molar concentration.

Solution:

Molarity = number of moles (n)/volume (V)

a. Calculate the molar mass of lithium sulfate (Li2SO4).

=7(2)+32+16(4)

= 110g/mol

b.Calculate the number of moles.

mole(n)= mass/molar mass

=110g/mol/734 g

= 6.67moles

c. Calculate the molar concentration M

= n/v

6.67moles/2.5L =2.668mol/L

Answer:

The overall molarity of the solution is 2.67 mol/L


Molality
1.
A 4.0-gram sugar cube C12H22O11 is dissolved in 350 mL teacup of 80˚ C water. What is the molality
of the sugar solution?

Given:

Solute (C12 H22 O11) = 4 g

Solvent (water) = 350 ml

density 0.975g/mol in 80 °C water

Required:

Calculate the molality of the sugar solution.

Solution:

Molality = mole of solute/kg of solvent

a. Calculate the moles of sucrose, C12 H22 O11

=(12)(12) +(1)(22)+(16)(11)

= 342g/mol

= 4g/342g/mol

= 0.0117mol

b.Calculate the mass of the solvent (water) in kg.

mass =( density )(volume)

= 0.975g/molx 350ml

= 341.25g

=0.34125kg

c. Calculate the molality


Molality = mole of solute/kg of solvent

=0.0117mol/0.34125kg

=0.03428mol/kg

Answer:

The molality of the sugar solution is 0.034mol/kg.


PPM

1. Suppose 17 grams of sucrose dissolved in 183 grams of water. What is the concentration of sucrose in
ppm?

Given:

Solute(sucrose)= 17g

Solvent (water)= 183g

Required:

Calculate the concentration of sucrose in ppm.

Solution:

Cppm = (mass of solute/mass of solution) x106

a. Determine the mass of the solution.

solution = solute + solvent

=17g+183g

= 200g

b. Calculate the ppm concentration.

Cppm = (mass of solute/mass of solution) x 106

= (17g/200g) X106

=0.085X106

Answer:

The concentration of sucrose is 85,000 ppm.

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