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Van't Hoff Factor

i 200 cm3 o...

Question

(i) $200 {c m}^{3}$ of aqueous solution of a protein contains $1.26 g$ of protein. The osmotic pressure of solution at $300 K$ is found to be $8.3 \times 10^{- 2}$ bar. Calculate the molar mass of protein. $(R = 0.083 l b a r K^{- 1} {m o l}^{- 1})$
(ii) What is the significance of Van't Hoff factor?

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Solution

$(π = \frac{w \times 1000}{M \times V} \times R \times T)$

$(M = \frac{w \times 1000}{π \times V} \times R \times T)$

$(= \frac{1.26 \times 1000 \times 0.083 \times 300}{2.57 \times 10^{- 3} \times 200})$

$= 61038 g (m o l^{- 1})$
Van toff factor is used to determine the extent of association or dissociation of solute in the solvent.
$i = \frac{N o r m a l m o l e c u l a r m a s s}{o b s e r v e d m o l e c u l a r m a s s}$
In case of association the i value is less than one
In case of dissociation the i value is more than one
In case there is no association or dissociation the value is equals to one.

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Similar questions

200 m L

of an aqueous solution of a protein contains

1.26 g

of protein. The osmotic pressure of this solution at

300 K

2.57 \times 10^{- 3} b a r

. The molar mass of protein will be:

[R = 0.083 L bar mol

^{- 1}

^{- 1}

Q. 0.2 L of aqueous solution of a protein contains 1.26 g of the protein. The osmotic pressure of such a solution at 300 K is found to be

2.57 \times 10^{- 3}

bar. Calculate the molar mass of the protein.

(R = 0.083 L b a r m o l^{- 1} K^{- 1})

Q. 200 mL of an aqueous solution of a protein contains its 1.26 g. The osmotic pressure of this solution at 300 K is found to be

2.57 \times 10^{- 3}

bar. The molar mass of protein will be:

R = 0.083 L b a r m o l^{- 1} K^{- 1}

)

300

K, the osmotic pressure of

300

mL of a protein aqueous solution is

8.3 \times 10^{- 5}

bar. The molar mass of protein is

10^{4}

g/mol. What is the weight (in g) of the protein present in this solution? (R=0.083 L bar/mol K)

Q. Calculate the amount of

C a C l_{2}

(van't Hoff factor

i = 2.47

2.5 L

solution so that its osmotic pressure at

300 K

0.75

atmosphere.
Given: Molar mass of

C a C l_{2}

111 g . m o l^{- 1}

,

R = 0.082 L . a t m . K^{- 1} m o l^{- 1}

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