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Lysozyme is an enzyme that cleaves bacterial cell walls. A sample of lysozyme extracted from egg white has a molar mass of 13,930 g. A quantity of 0.100 g of this enzyme is dissolved in 1.80 ×102 g of water at 25°C. Calculate the vapor-pressure lowering, the depression in freezing point, the elevation in boiling point, and the osmotic pressure of this solution. (The vapor pressure of water at 25°C is 23.76 mmHg.) Report each of your answers to 3 significant figures. Vapor-pressure lowering = _____mmHg Depression in freezing point = ___°C Elevation in boiling point = ____°COsmotic pressure = _____ atm

Question

Lysozyme is an enzyme that cleaves bacterial cell walls. A sample of lysozyme extracted from egg white has a molar mass of 13,930 g. A quantity of 0.100 g of this enzyme is dissolved in 1.80 ×102 g of water at 25°C. Calculate the vapor-pressure lowering, the depression in freezing point, the elevation in boiling point, and the osmotic pressure of this solution. (The vapor pressure of water at 25°C is 23.76 mmHg.) Report each of your answers to 3 significant figures.
 
Vapor-pressure lowering = _____mmHg
 
Depression in freezing point = ___°C
 
Elevation in boiling point = ____°C

Osmotic pressure = _____ atm

 

check_circleAnswer
Step 1

Given,

Molar mass of lysozyme is 13,930 g/ mole

Weight of the solute is 0.1 g

Weight of the solvent is 1.80×102 g

Vapour pressure lowering is calculated as follows
Molality of the solution is given below
B
MolalityW 1000
A
B
0.1
Molality 13.930 1.80x10 g
1000
Molality 4.0x10-5
Mole fraction is given below
Molefraction
nA=solvent
ng solute
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Vapour pressure lowering is calculated as follows Molality of the solution is given below B MolalityW 1000 A B 0.1 Molality 13.930 1.80x10 g 1000 Molality 4.0x10-5 Mole fraction is given below Molefraction nA=solvent ng solute

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Step 2

Vapour pressure lowerin...

Molefraction .
0.1
13930
Molefraction =
1.8x10
0.1
13930
13930
7.18x10
7.18x100.0129
Molefraction
Molefraction5.6 x 10
Vapour pressure lowering is calculated as follows
Vapour pressure lowering molefraction of enzymexvapour pressure of water.
Vapour pres sure lowering 5.6x10x23.76mmHg
Vapour pressure lowering 0.0133 mmHg
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Molefraction . 0.1 13930 Molefraction = 1.8x10 0.1 13930 13930 7.18x10 7.18x100.0129 Molefraction Molefraction5.6 x 10 Vapour pressure lowering is calculated as follows Vapour pressure lowering molefraction of enzymexvapour pressure of water. Vapour pres sure lowering 5.6x10x23.76mmHg Vapour pressure lowering 0.0133 mmHg

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