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Help me please? Water Mass of Test Tube: 27.4g Volume of Water: 10 g Room Temper

ID: 580281 • Letter: H

Question

Help me please?

Water

Mass of Test Tube:

27.4g

Volume of Water:

10 g

Room Temperature:

21.5 ºC

Freezing Point:

0.0 ºC

FP Sample #1

Mass of FP Sample #1:

2 g

Mass of Test Tube:

27.4g

Volume of Sample:

1.3 mL

Volume of Sample and Water:

11.3 mL

Mass of Sample and Water:

12 g

Room Temperature:

21.5 ºC

Mixture Temperature Decrease:

19.3 ºC

Freezing Point:

-2.1 ºC

FP Sample #2

Mass of FP Sample #2:

2 g

Mass of Test Tube:

27.4g

Volume of Sample:

1.2 mL

Room Temperature:

21.5 ºC

Mixture Temperature Increase:

21.8 ºC

Freezing Point:

-4.6 ºC

Create a table of the following data for BOTH FP samples 1 and 2. Provide a Table title and description. Include units. Any missing information may result in point deductions.

            T

            Molar Mass (Mm)

            Number of moles (n)

            Molality (m)

Next, in a paragraph, discuss the results of this experiment presented in this section. Also, identify samples 1 and 2 from the data provided in the table below.

Name of Compound

Molar Mass (g/mol)

calcium sulfate

136.14

2'-Nitrocinnamaldehyde

177.15

glucose

180.16

potassium hydrogen phthalate

204.22

sodium oxalate

134.00

Conclusions (2 points)

In a paragraph, briefly discuss the main findings of this experiment. (Hint: think about what this experiment was used to determine/study and think about the results you discussed in the preceding section) (2 points)

Water

Mass of Test Tube:

27.4g

Volume of Water:

10 g

Room Temperature:

21.5 ºC

Freezing Point:

0.0 ºC

Explanation / Answer

We shall need the freezing point depression constant of water which is Kf = 1.86°C/m. Use the expression for freezing point depression as

Tf = Kf.(molality of solution) where we define the molality of the solution as

molality = (moles of solute)/(kilograms of solvent)

FP Sample #1

FP Sample # 2

Mass of FP Sample# (g)

2.0

2.0

Mass of sample and water (g)

12.0

12.0

Mass of water (g)

12.0 – 2.0 = 10.0

12.0 – 2.0 = 10.0

Mass of water (kg)

(10.0 g)*(1 kg/1000 g) = 0.01 kg

(10.0 g)*(1 kg/1000 g) = 0.01 kg

Depression in freezing point, T = (Freezing point of pure water) – (Freezing point of sample + water) (°C)

(0.0) – (-2.1) = 2.1

(0.0) – (-4.6) = 4.6

Molar mass of the sample, Mm (g/mol)

177.143 (check calculation 1 below)

80.869

Number of moles = (mass of sample)/(Mm) (mole)

(2.0)/(177.143) = 0.01129 0.0113

(2.0)/(80.869) = 0.02473 0.0247

Molality of the solution = (moles of sample)/(kg of solvent) (m)

(0.0113)/(0.01) = 1.13

(0.0247)/(0.01) = 2.47

Identity of the sample

2’-nitrocinnamaldehyde (the calculated molar mass matches the molar mass of 2’-nitrocinnamaldehye within the limits of error)

- (None of the given samples matches the calculated molar mass within the limits of error).

Calculation 1:

Let the molar mass of the sample be M g/mol; the number of moles of the sample = (2.0 g)/(M g/mol) = (2/M) mole.

Molality of the solution = (moles of sample)/(kg of solvent) = (2/M) mole/(0.01 kg) = (200/M) m where m denotes molality of the solution.

As per the expression, we have,

2.1°C = (1.86°C/m)*(200/M) m

====> 2.1°C = 372/M °C

====> M = 372/2.1 = 177.1428 177.143

The molar mass of the FP Sample #1 is 177.143 g/mol (ans).

FP Sample #1

FP Sample # 2

Mass of FP Sample# (g)

2.0

2.0

Mass of sample and water (g)

12.0

12.0

Mass of water (g)

12.0 – 2.0 = 10.0

12.0 – 2.0 = 10.0

Mass of water (kg)

(10.0 g)*(1 kg/1000 g) = 0.01 kg

(10.0 g)*(1 kg/1000 g) = 0.01 kg

Depression in freezing point, T = (Freezing point of pure water) – (Freezing point of sample + water) (°C)

(0.0) – (-2.1) = 2.1

(0.0) – (-4.6) = 4.6

Molar mass of the sample, Mm (g/mol)

177.143 (check calculation 1 below)

80.869

Number of moles = (mass of sample)/(Mm) (mole)

(2.0)/(177.143) = 0.01129 0.0113

(2.0)/(80.869) = 0.02473 0.0247

Molality of the solution = (moles of sample)/(kg of solvent) (m)

(0.0113)/(0.01) = 1.13

(0.0247)/(0.01) = 2.47

Identity of the sample

2’-nitrocinnamaldehyde (the calculated molar mass matches the molar mass of 2’-nitrocinnamaldehye within the limits of error)

- (None of the given samples matches the calculated molar mass within the limits of error).