SOLUTIONS QUIZ 19
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Q1. The difference between the boiling point and freezing point of an aqueous solution containing sucrose (mol wt. = 342 gmol-1) in 100 g of water is 105.0∘𝐶. If 𝐾fand 𝐾b of water are 1.86 and 0.51 K kg mol-1 respectively, the weight of sucrose in the solution is about
Solution
Molarity of urea = (6/60)/(100 /1000) = 1𝑀 Hence,
Molarity of urea = (6/60)/(100 /1000) = 1𝑀 Hence,
1 M solution of glucose is isotonic with 6% urea solution.
Q2. The mass of glucose that should be dissolved in 50 g of water in order to produce the same lowering of vapour pressure as is produced by dissolving 1 g of urea in the same quantity of water is
Solution
𝑝−𝑝S / 𝑝 = 𝑤1𝑀2 /𝑤2𝑀1
𝑝−𝑝S / 𝑝 = 𝑤1𝑀2 /𝑤2𝑀1
To produce same lowering of vapour pressure, 𝑝−𝑝s/𝑝 will be same for both cases.
So, 𝑊(Glucose)×18/ 50×180 = 𝑊(urea)×18 /50×60
𝑊(Glucose) =weight of glucose
𝑊(urea) =weight of urea or
𝑊 (Glucose)×18 50×180 = 1×18 /50×60
𝑊(urea)=3
Q3. The ratio of vapour pressure over solution phase on mixing two immiscible liquids is equal to :
Solution
𝑃´A = 𝑃A0.𝑋A and
𝑃´A = 𝑃A0.𝑋A and
𝑃´A = 𝑃M ∙ 𝑋´A
𝑃´B = 𝑃M ∙ 𝑋´B
∴
𝑃´A /𝑃´B
=
𝑋´A /𝑋´B
=
(𝑛A)V (𝑛B)𝑉
Q4. Density of a 2.05 M solution of acetic acid in water is 1.02 g/mL. The molality of the solution is
Solution
Molality ( m ) = 𝑀 /1000𝑑−𝑀𝑀1× 100
Molality ( m ) = 𝑀 /1000𝑑−𝑀𝑀1× 100
M = Molarity
𝑀1 = Molecular mass
d = density
= 2.05 /(1000 × 1.02)−(2.05 × 60)
×100
=2.28 mol kg-1
Q5. Two solutions of KNO3 and CH3COOH are prepared separately. Molarity of both is 0.1 M and osmatic pressures are 𝑝1 and 𝑝2respectively. The correct relationship between the osmatic pressures is
Solution
KNO3 dissociates completely while CH3COOH dissociates to a small extent hence, 𝑝1 > 𝑝2
KNO3 dissociates completely while CH3COOH dissociates to a small extent hence, 𝑝1 > 𝑝2
Q6. An aqueous solution of 6.3 g oxalic acid dihydrate is made up to 250 mL. The volume of 0.1 N sodium hydroxide required to completely neutralise 10 mL of this solution is
Solution
𝑊 = 𝑁𝐸 𝑉 / 1000
𝑊 = 𝑁𝐸 𝑉 / 1000
𝑁 = 𝑊×1000/ 𝐸×𝑉
= 6.3×1000 /63×250
=0.4N
𝑁1𝑉1 = 𝑁2𝑉2
0.1 × 𝑉1 = 0.4 × 10
𝑉1 = 0.4 × 10 /0.1
𝑉1 = 40 mL
Q7. The vapour pressure of water at 20∘C is 17.5 mmHg. If 18 g of glucose (𝐶6𝐻12𝑂6) is added to 178.2 g of water at 20∘𝐶, the vapour pressure of the resulting solution will be
Solution
Moles of glucose = 18/180 = 0.1
Moles of glucose = 18/180 = 0.1
Moles of 𝐻2𝑂 =
178.2 /18
9.9
According to Raoult’s law
𝑃°−𝑃s /𝑃°
= 𝑋solute
17.5−𝑃s / 17.5 =0.1/10
so,
𝑃s = 17.325mm Hg
Q8. An azeotropic mixture of two liquids has boiling point lower than either of them, when it
NaOH solution
Solution
(i)Azeotropic mixtures having boiling point less than either of the two pure components show positive deviation from Raoult’s law. (ii) Azeotropic mixtures having boiling point more than either of two pure components show negative deviation from Raoult’s law.
(i)Azeotropic mixtures having boiling point less than either of the two pure components show positive deviation from Raoult’s law. (ii) Azeotropic mixtures having boiling point more than either of two pure components show negative deviation from Raoult’s law.
Q9. T The unit of molality is
Solution
Unit of molality mole per kilogram (mol kg-1).
Unit of molality mole per kilogram (mol kg-1).
Q10. The lubricating action of an oil is more if it possess :
Solution
Substances of high vapour pressure (𝑒.g., gasoline) evaporates more quickly than substances of low vapour pressure (𝑒.g., motor oil).
Substances of high vapour pressure (𝑒.g., gasoline) evaporates more quickly than substances of low vapour pressure (𝑒.g., motor oil).