What is the osmotic pressure (in $atm$) of $0.02 \ M$ aqueous glucose solution at $300 \ K$?
$(R=0.082 \ L \ atm \ mol^{-1} \ K^{-1})$

Calculate the osmotic pressure of a $0.2 \ M$ aqueous solution of an electrolyte at $300 \ K$. If the van't Hoff factor is $1.6$,find the osmotic pressure. $\left[R=0.0821 \ atm \ dm^3 \ K^{-1} \ mol^{-1}\right]$ (in $atm$)

$0.05 \ M \ CuSO_4$ when treated with $0.01 \ M \ K_2Cr_2O_7$ gives a green coloured solution of $Cu_2Cr_2O_7$. In an osmosis setup with a Semi Permeable Membrane $(SPM)$ separating Side $X$ $(K_2Cr_2O_7)$ and Side $Y$ $(CuSO_4)$,determine the observation due to osmosis.

The phenomenon of osmosis involves:

$A$ solution containing $10 \ g/L$ of urea is isotonic with a $5\%$ solution of a non-electrolyte solute. The molecular mass of the non-electrolyte solute is ..... $g/mol$.

$15 \%$ aqueous solution of glucose (molecular weight $= 180 \ g/mol$) is isotonic with $8 \%$ aqueous solution containing an unknown non-dissociable solute. What is the molecular weight of the unknown solute?