Question

A beaker containing 20g sugar in 100g water and another containing 10 gm of sugar in 10 gm of water

Answer 1

Molarity of 10g sugar in 100 ml water. 

molarity =(10/342)x(1000/100)=0.2923M

Molarity of 20g sugar in 100ml water.

molarity =(20/342)x(1000/100)=0.5840M

Now, M1V1=M2V

So to make equal concentration, equal amount of volume i.e 10 ml must be transferred to other beaker.

Answer 2

Under a vaccum condition water will transfer from solution of higher concentration to the lower one untill the two concentrations are equalize.

$\frac { 20 }{ 100+m } =\quad \frac { 10 }{ 100-m } \\ \frac { 100+m }{ 20 } \quad =\frac { 100-m }{ 10 } \\ 100\quad +\quad m\quad =\quad 200-\quad 2m\\ 3m\quad =100\\ m\quad =\quad 33.33$