100 mL of an aqueous solution of protein
contains 6.3 g of protein. Calculate the molar mass
of protein if osmotic pressure of the solution at 27°C
is 2.57 x 10-3 bar.
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1 bar = 1 atm
P = 2.57×10^-3 bar
= 2.57 × 10^-3
k = °C + 273
T = 27°C
= 27 + 273
= 300 k
1000 ml = 1 l
100 ml = (1÷1000)×100
100 ml = 0.1 l
V = 0.1 l
R = 0.0821 atm.l/ mol.k
PV = nRT
n = (PV)÷(RT)
n =( 2.57×10^-3 ×0.1)÷(0.0821×300)
n = 0.000257÷24.63
n = 0.0000104344
n = given mass ÷ molar mass
molar mass = given mass ÷ n
= 6.3÷ 0.0000104344
= 603772.1 gm
= 603.7 kg
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