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Volume of cyclohexane (mL) 20.69 mL Mass of cyclohexane (g) ??? g Freezing point

ID: 574873 • Letter: V

Question

Volume of cyclohexane (mL)

20.69 mL

Mass of cyclohexane (g)

???

g

Freezing point of pure cyclohexane (°C)

5.3 °C

Trial 1

Trial 2

Trial 3

Mass of weighing dish and sample (g)

2.8987 g

2.8036 g

2.6543 g

Mass of weighing dish (g)

2.5895 g

2.5994 g

2.5469 g

Mass of sample (g)

?? g

?? g

?? g

Total mass of sample (g)

??g

?? g

?? g

Freezing point of solution (average, °C)

4.1 °C

3.3 °C

2.9 °C

Freezing point depression (°C)

??°C

??°C

?? °C

Molality of solution (m)

?? m

?? m

?? m

Moles of sample in solution (moles)

?? moles

?? moles

?? moles

Molecular weight of sample (g/mol)

???x 10^??g/mol

??? x 10^??g/mol

??? x 10^??g/mol

Average molecular weight of sample (g/mol)

???x 10^?? g/mol

I AM HAVING EXTREME DIFFICULTY ANDYBIDY WHO CAN HELP I WOULD GREATLY APPRECIATE IT i NEED HELP AND IN THE LAST ONES, I NEED THE AVERAGE MOLECULAR WEIGHT OF SAMPLE IN A FORMAT LIKE THIS (8.0*10^5 G/MOL) SOMETHING LIKE THAT. I NEED HELP WITH THE CALCULATIONS IF YOU CAN SHOW WORK FOR EVEN ONE OF THE TRIALS i WILL GREATLY APPRECIATE IT

Volume of cyclohexane (mL)

20.69 mL

Mass of cyclohexane (g)

???

g

Freezing point of pure cyclohexane (°C)

5.3 °C

Trial 1

Trial 2

Trial 3

Mass of weighing dish and sample (g)

2.8987 g

2.8036 g

2.6543 g

Mass of weighing dish (g)

2.5895 g

2.5994 g

2.5469 g

Mass of sample (g)

?? g

?? g

?? g

Total mass of sample (g)

??g

?? g

?? g

Freezing point of solution (average, °C)

4.1 °C

3.3 °C

2.9 °C

Freezing point depression (°C)

??°C

??°C

?? °C

Molality of solution (m)

?? m

?? m

?? m

Moles of sample in solution (moles)

?? moles

?? moles

?? moles

Molecular weight of sample (g/mol)

???x 10^??g/mol

??? x 10^??g/mol

??? x 10^??g/mol

Average molecular weight of sample (g/mol)

???x 10^?? g/mol

I AM HAVING EXTREME DIFFICULTY ANDYBIDY WHO CAN HELP I WOULD GREATLY APPRECIATE IT i NEED HELP AND IN THE LAST ONES, I NEED THE AVERAGE MOLECULAR WEIGHT OF SAMPLE IN A FORMAT LIKE THIS (8.0*10^5 G/MOL) SOMETHING LIKE THAT. I NEED HELP WITH THE CALCULATIONS IF YOU CAN SHOW WORK FOR EVEN ONE OF THE TRIALS i WILL GREATLY APPRECIATE IT

Explanation / Answer

volume of cyclohexane = 20.69 ml

density of cyclohexane = 0.779 g/ml

Mass of cyclohexane = volume * density = 20.69*0.779 = 16.12 g = 0.01612 kg

For trial 1:

Mass of sample = (mass of weighing dish and sample)-(mass of weighing dish)

mass of sample = 2.8987-2.5895 = 0.3092 g

Total mass of sample = mass of sample+mass of cyclohexane = 0.3092+16.12 = 16.4292 g

Freezing point depression = freezing point of pure cyclohexane - freezing point of solution = 5.3-4.1 = 1.2 oC

molality of solution = freezing point depression/cryoscopic constant of cyclohexane = 1.2/20.0 = 0.06 m

moles of sample in solution:

molality = moles of solute/weight of solvent

moles of sample = molality*weight of solvent = 0.06*0.01612 = 9.67*10-4 mol

molecular weight of sample = mass of sample/moles of sample = 0.3092/9.67*10-4 = 319.69 g/mol = 3.20*102 g/mol

For trial 2:

Mass of sample = (mass of weighing dish and sample)-(mass of weighing dish)

mass of sample = 2.8036-2.5994 = 0.2042 g

Total mass of sample = mass of sample+mass of cyclohexane = 0.2042+16.12 = 16.3242 g

Freezing point depression = freezing point of pure cyclohexane - freezing point of solution = 5.3-3.3 = 2.0 oC

molality of solution = freezing point depression/cryoscopic constant of cyclohexane = 2.0/20.0 = 0.10 m

moles of sample in solution:

molality = moles of solute/weight of solvent

moles of sample = molality*weight of solvent = 0.10*0.01612 = 1.612*10-3 mol

molecular weight of sample = mass of sample/moles of sample = 0.2042/1.612*10-3 = 126.67 g/mol = 1.27*102 g/mol

For trial 3:

Mass of sample = (mass of weighing dish and sample)-(mass of weighing dish)

mass of sample = 2.6543-2.5469 = 0.1074 g

Total mass of sample = mass of sample+mass of cyclohexane = 0.1074+16.12 = 16.2274 g

Freezing point depression = freezing point of pure cyclohexane - freezing point of solution = 5.3-2.9 = 2.4 oC

molality of solution = freezing point depression/cryoscopic constant of cyclohexane = 2.4/20.0 = 0.12 m

moles of sample in solution:

molality = moles of solute/weight of solvent

moles of sample = molality*weight of solvent = 0.12*0.01612 = 1.934*10-3 mol

molecular weight of sample = mass of sample/moles of sample = 0.1074/1.934*10-3 = 55.52 g/mol

Average molecular weight of sample = (trial 1+ trial 2 + trial 3)/3

= (319.69+126.67+55.52)/3 = 167.30 g/mol = 1.67*102 g/mol