Be sure to answer all parts. Lysozyme is an enzyme that cleaves bacterial cell w

Question

Be sure to answer all parts. 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 0.800 g of this enzyme is dissolved in 1.50 x 10- 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. mmHg Vapor-pressure lowering Depression in freezing point = .000712 Elevation in boiling point- Osmotic pressure- °C oC atm

Explanation / Answer

First calculate the number of moles = amount in g/ molar mass

= 0.800 g/ 13930 g/ mole

= 5.74*10^-5 mole

Molality = number of moles / solvent in kg

= 5.74*10^-5 mole / 0.150 kg

= 3.83*10^-4 m

moles water = 150 / 18.02 g/mol=8.32

total moles = 5.74*10^-5 mole+ 8.32

= 8.3200574

mole fraction water =8.32 /8.3200574

= 0.9999

Vapor pressure lowering= 23.76 mmHg* 0.999

= 23.7 mmHg

Kf for H2O = 1.858°C/m
Kb for H2O = 0.521°C/m


T = i Kf m = (1)(1.858°C/m)( 3.83*10^-4 m)

= 0.000712°C

T = i Kb m = (1)(0.521°C/m)( 3.83*10^-4 m)

= 0.000120°C

osmotic pressure = (effective molarity of solution)(ideal gas constant)(absolute temperature)


= (3.83*10^-4 M)(0.0821 atm-L/mol-K)(25 + 273K)
= 0.00937 atm

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