One litre of glucose solution have osmotic pressure 1.5 atmosphere is mixed with other 2 litre glucose solution of osmotic pressure 2.5 atmosphere. Then find resultant osmotic pressure of the solution

Question

One litre of glucose solution have osmotic pressure 1.5 atmosphere is mixed with other 2 litre glucose solution of osmotic pressure 2.5 atmosphere. Then find resultant osmotic pressure of the solution.

TestHub · Accepted Answer

Using the formula for the resultant osmotic pressure of a mixture of solutions of the same solute:

$π_{mi x} = \frac{π _{1} V _{1} + π _{2} V _{2}}{V _{1} + V _{2}}$

Substituting the given values:

$π_{1} = 1.5$ atm, $V_{1} = 1$ L

$π_{2} = 2.5$ atm, $V_{2} = 2$ L

$π_{mi x} = \frac{1.5 \times 1 + 2.5 \times 2}{1 + 2}$

$π_{mi x} = \frac{1.5 + 5.0}{3}$

$π_{mi x} = \frac{6.5}{3} = 2.166... \approx 2.17$ atm

Answer: $2.17$ atm

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