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15 January, 18:45

What is the molecular mass of met-enkephalin if 20.0mL of an aqueous solution containing 15.0 mg met-enkephalin at 298 K supports a column of water 32.9 cm high? The density of mercury at 298K is 13.534 g/mL.

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  1. 15 January, 19:07
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    The molar mass of met-enkephalin is 573 g/mol

    Explanation:

    Step 1: data given

    Volume of the aqueous solution = 20.0 mL = 0.02 L

    Mass of met-enkephalin = 15.0 mg = 0.015 grams

    Temperature = 298 K

    Water column is 32.9 cm high

    The density of mercury at 298K is 13.534 g/mL

    Step 2: The osmotic pressure

    P = cRT

    ⇒ with P = the osmotic pressure

    ⇒ with c is the concentration in mol/L

    ⇒ with R is the gas constant (L. atm/mol. K)

    ⇒with T the temperature (K)

    if the water column is 32.9 cm = 32.9/13.534 mmHg. = 0.032 atm

    ⇒ Pressure = 0.032 atm

    ⇒ 0.032 atm = c * 0.08206 L*Atm/K*mol

    ⇒ T = t the temperature = 298 K

    c = P / RT

    c = 0.032atm / (0.08206*298)

    c = 0.00131 M

    Step 3: Calculate moles

    Moles = Molarity * volume

    Moles = 0.00131 M * 0.020 L

    Moles = 0.0000262 moles

    Step 4: Calculate molar mass

    Molar mass = mass / moles

    Molar mass = 0.015 grams / 0.000026 moles

    Molar mass = 573 g/mol

    The molar mass of met-enkephalin is 573 g/mol
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