A solution prepared by dissolving 8.95mg of a gene fragment in 35.0 mL of water has an osmotic pressure of 0.335 torr at 25°c. Assuming the gene fragment is a non-electrolyte, determine it's molar mass.
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We know that the molar concentration of the gene fragment is given as:
8.95 mg in 35 ml water
Or, 8.95 x 10-3 gm in 35/ 1000 L of water
If M is the molar mass of the gene fragment then,
Molar concentration ,C= (8.95 x 10-3 gm/ M) x(1000/35) gMol/L
and so, molar concentration = 0.255 /M gMol/L
Now, ∏ = CRT
Here, ∏ = 0.335 torr = 0.335/760 atm
R =0.082 L atm/Kmol
T = 250C = 273 +25 =298 K
So, putting the values we get,
0.335/760 = (0.255 /M ) x 0.082 L x 298
Or. M = 14176.02.
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