For the compound MX2, the observed mass is 65.6, while the normal mass is 164. The percentage degree of ionization of MX2 (rounded to the nearest integer) is:
1. 75 2. 60
3. 50 4. 85
Subtopic:  Van’t Hoff Factor |
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Level 3: 35%-60%
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A 0.03 M aqueous solution of a weak acid HX has an acid dissociation constant \(K_a = 1.2 \times 10^{-5}\), for the dissociation\(\mathrm{HX}_{(\mathrm{aq})} \rightleftharpoons \mathrm{H}_{(\mathrm{aq})}^{+}+\mathrm{X}_{(\mathrm{aq})}^{-} \). Calculate the osmotic pressure (in atm) of the solution at 300 K.

1. 4 atm 2. 2 atm
3. 1 atm 4. 6 atm
Subtopic:  Osmosis & Osmotic Pressure | Van’t Hoff Factor |
Level 3: 35%-60%
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We are given with \(3~\text{NaCl}\) samples and their van't hoff factors:
Sample Van't Hoff factor
Sample- \(1\) \((0.1\text{M})\)                 \(\text{i}_1\)
Sample- \(2\) \((0.01\text{M})\)                 \(\text{i}_2\)
Sample- \(3\)  \((0.001\text{M})\)                 \(\text{i}_3\)
Choose the correct option:
1. \(\text{i}_1=\text{i}_2=\text{i}_3\) 2. \(\text{i}_1>\text{i}_2>\text{i}_3\)
3. \(\text{i}_3>\text{i}_2>\text{i}_1\) 4. \(\text{i}_1>\text{i}_3>\text{i}_2\)
Subtopic:  Van’t Hoff Factor |
Level 3: 35%-60%
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Equimolar solution of \(\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7\) and \(\mathrm{CuSO}_4\) are separated by a semi-permeable membrane. How many of the given statements are incorrect? 

(i) Green colour of \(\mathrm{CuCr}_2 \mathrm{O}_7\) is observed as side (Y)
(ii) Green colour of \(\mathrm{CuCr}_2 \mathrm{O}_7\) is observed as side (X)
(iii) Molarity of \(\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7\) will decrease
(iv) Molarity of \(\mathrm{CuSO}_4\) will decrease

1. (i), (ii) and (iii)
2. (ii), (iv) and (iii)
3. (i), (ii) and (iv)
4. (ii) and (iii)
Subtopic:  Van’t Hoff Factor |
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Level 3: 35%-60%
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Which of the following has more relative lowering in vapour pressure at the same temperature
1. 0.1 M urea
2. 0.1 M NaCl
3. 0.1 M sucrose
4. 0.1 M CaCl2
Subtopic:  Relative Lowering of Vapour Pressure | Van’t Hoff Factor |
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Level 1: 80%+
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Find out the depression in the freezing point for \(CH_3COOH \) (\(\alpha \) = 20 %) dissolved in an aqueous solution having 10% (w/w) \(CH_3COOH\) in solution:
[Given: \(K_f\) of water = \(1.86 ~{ K~ kg ~mol^{-1}}\)]

1. 4.13 K 
2. 2.13 K 
3. 1.13 K 
4. 0.13 K 
Subtopic:  Van’t Hoff Factor |
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Level 2: 60%+
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Consider the two statements:
Statement I:  At 20 °C, the molality of KCl solution is 'X' m, and on decreasing temperature to -10 °C molality remains unchanged.
Statement II:  On changing temperature mass remains unchanged.
 
1.  Both Statement I and Statement II are True.
2. Both Statement I and Statement II are False.
3.  Statement I is True, and Statement II is False.
4.  Statement I is False, and Statement II is True.
Subtopic:  Elevation of Boiling Point | Van’t Hoff Factor |
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Level 1: 80%+
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If the freezing point of 0.5 w/w % KCl (aq) solution is - 0.24°C.
The percentage of dissociation of KCl in the solution is: 
[Kf=1.86 K-kg/mol]

1. 99 %
2. 67 %
3. 79 %
4. 91 %
Subtopic:  Van’t Hoff Factor |
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Level 3: 35%-60%
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7 grams of a solute (molar mass = 93g) dissolves in 42 grams of water. If solute gets dimerized in water and depression at a freezing point is 2°C, then find the percentage association of solute:
[Given: \(K_f(H_2O) = 1.86~{ K kg \over Mole}\)]

1. 76%
2. 80%
3. 82%
4. 85%
Subtopic:  Van’t Hoff Factor |
 76%
Level 2: 60%+
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When 9.45 g of ClCH2COOH is added to 500 mL of water, its freezing point drops by 0.5 ºC.
The dissociation constant of ClCH2 COOH is x × 10–3. The value of x is:

(Rounded off to the nearest integer)

[Kf(H2O)=1.86kgmol1]

1. 36 × 10-3 
2. 29 × 10-3 
3. 45 × 10-3 
4. 30 × 10-3 

Subtopic:  Van’t Hoff Factor |
 52%
Level 3: 35%-60%
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