(D) The osmotic pressure formula is $\pi = CRT$,where $C = \frac{n}{V}$.Given: $\pi = 400 \ Pa = 400 \times 10^{-5} \ bar = 0.004 \ bar$.$V = 250 \ mL

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(D) The osmotic pressure formula is $\pi = CRT$,where $C = \frac{n}{V}$.Given: $\pi = 400 \ Pa = 400 \times 10^{-5} \ bar = 0.004 \ bar$.$V = 250 \ mL = 0.25 \ L$.$T = 27 + 273 = 300 \ K$.$R = 0.083 \ L \ bar \ K^{-1} \ mol^{-1}$.$n = \frac{mass}{Molar \ mass} = \frac{2.5}{M_o}$.Substituting the values: $0.004 = \frac{2.5 / M_o}{0.25} \times 0.083 \times 300$.$0.004 = \frac{10}{M_o} \times 24.9$.$M_o = \frac{249}{0.004} = 62250 \ g \ mol^{-1}$.

Class 12 Chemistry Solutions Osmosis and Osmotic pressure of the solution

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At $27^{\circ}C$,a solution containing $2.5 \ g$ of solute in $250.0 \ mL$ of solution exerts an osmotic pressure of $400 \ Pa$. The molar mass of the solute is $.............. \ g \ mol^{-1}$ (Nearest integer) (Given: $R = 0.083 \ L \ bar \ K^{-1} \ mol^{-1}$)

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A
$62240$
B
$62258$
C
$62240$
D
$62250$

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At $27^{\circ}C$,a solution containing $2.5 \ g$ of solute in $250.0 \ mL$ of solution exerts an osmotic pressure of $400 \ Pa$. The molar mass of the solute is $.............. \ g \ mol^{-1}$ (Nearest integer) (Given: $R = 0.083 \ L \ bar \ K^{-1} \ mol^{-1}$)

Similar Questions

What is the osmotic pressure of a solution of $1.7 \ g$ of $CaCl_2$ in $1.25 \ dm^3$ of water at $300 \ K$,if the van't Hoff factor and molar mass of $CaCl_2$ are $2.47$ and $111 \ g \ mol^{-1}$ respectively (in $atm$)? $[R=0.082 \ dm^3 \ atm \ mol^{-1} \ K^{-1}]$

In osmosis:

Which colligative property is most suitable for the determination of the molar mass of polymers?

The osmotic pressure of a urea solution at $10\,^oC$ is $500\, mm\, of\, Hg$. The solution is diluted such that the temperature increases to $25\,^oC$ and the osmotic pressure becomes $131.6\, mm\, of\, Hg$. By what factor has the solution been diluted?

$A$ solution containing $10 \, g \, dm^{-3}$ of urea $(M.wt = 60)$ is isotonic with a $5 \%$ solution of a non-volatile solute. The molecular mass of this non-volatile solute is ......... $g \, mol^{-1}$.

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