Question

an aqueous solution of glucose has osmotic pressure of 2.72 atm at 298 k. How many moles of glucose were dissolved per litre of solution

Answer 1

Please refer to the pic for solution.
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Answer 2

Answer : The moles of glucose dissolved per liter of solution will be, 0.11 moles

Solution : Given,

Osmotic pressure = 2.72 atm

Temperature = 298 K

Formula used :

$\pi=iCRT\\\\C=\frac{\pi}{iRT}$

where,

$\pi$ = osmotic pressure

i = van't Hoff factor of glucose = 1

C = concentration of solution

R = Gas constant = 0.0821 Latm/moleK

T = temperature

Now put all the given values in the above formula, we get

$C=\frac{2.72atm}{1\times (0.0821Latm/moleK)\times (298K)}=0.11mole/L$

Therefore, the moles of glucose dissolved per liter of solution will be, 0.11 moles