Question

how many gram of glucose must be present in 0.5 litre of a solution for its osmotic pressure to be same as that of solution of 9.2 gram glucose per litre?

Answer 1

Dear Student,

For the same osmotic pressure among two of the solutions, the solution can be said as isotonic. This infers that the concentration of both the solution are same.
Hence the concentration of glucose in 0.5 lit. = concentration of glucose in 1 lit.
$\frac{m}{Mw}\times \frac{1000}{500}=\frac{9.2}{Mw}\times \frac{1000}{1000}$
m = 9.2 / 2 = 4.6 g

So the amount of glucose in 0.5 lit. of solution is 4.6 g

Regards.