Calculate the molar mass of a non-electrolyte solute when $6 \text{ g}$ of it is dissolved in $1 \text{ dm}^3$ of water, having an osmotic pressure of $2.4 \text{ atm}$ at $300 \text{ K}$ $(R = 0.0821 \text{ atm dm}^3 \text{ K}^{-1} \text{ mol}^{-1})$.

At a certain temperature, the value of the slope of the plot of osmotic pressure $(\pi)$ against concentration $(C \text{ in } mol \ L^{-1})$ of a certain polymer solution is $291 \ R.$ The temperature at which osmotic pressure is measured is: $(R \text{ is the gas constant})$

$XY$ is the membrane $/$ partition between two chambers $1$ and $2$ containing sugar solutions of concentration $c_1$ and $c_2$ $(c_1 > c_2)$ $mol \ L^{-1}$. For the reverse osmosis to take place,identify the correct condition (Here $p_1$ and $p_2$ are pressures applied on chamber $1$ and $2$):
$(A)$ Membrane $/$ Partition $:$ Cellophane,$p_1 > \pi$
$(B)$ Membrane $/$ Partition $:$ Porous,$p_2 > \pi$
$(C)$ Membrane $/$ Partition $:$ Parchment paper,$p_1 > \pi$
$(D)$ Membrane $/$ Partition $:$ Cellophane,$p_2 > \pi$
Choose the correct answer from the options given below $:$

Solution $A$ contains $7 \ g/L$ of $MgCl_2$ and solution $B$ contains $7 \ g/L$ of $NaCl$. Which of the following is true regarding their osmotic pressure at room temperature?

$A$ 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 ..... $g/mol$.

$A$ solution of sodium chloride with a concentration of ...... is isotonic with the fluid inside human red blood cells.