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Chapter 2 Solutions Solutions

Question - 11 : -

Calculate the mass of ascorbicacid (Vitamin C, C6H8O6) to be dissolved in
75 g of acetic acid to lower its melting point by 1.5°C. Kf =3.9 K kg mol−1.

Answer - 11 : -

of acetic acid, w1 =75 g

Molar mass of ascorbic acid (C6H8O6), M2 =6 × 12 + 8 × 1 + 6 × 16

= 176 g mol−1

Lowering of melting point, ΔTf =1.5 K

We know that: 

= 5.08 g (approx)

Hence, 5.08 g of ascorbic acid isneeded to be dissolved.

Question - 12 : -

Calculate the osmotic pressure inpascals exerted by a solution prepared by dissolving 1.0 g of polymer of molarmass 185,000 in 450 mL of water at 37°C.

Answer - 12 : -

It is given that:

Volume of water, V =450 mL = 0.45 L

Temperature, T =(37 + 273)K = 310 K

Numberof moles of the polymer,

We know that:

Osmoticpressure,

= 30.98 Pa

= 31 Pa (approximately)

Question - 13 : -

Define the term solution. Howmany types of solutions are formed? Write briefly about each type with anexample.

Answer - 13 : -

Homogeneous mixtures of two ormore than two components are known as solutions.

There are three types ofsolutions.

(i) Gaseous solution:

The solution in which the solventis a gas is called a gaseous solution. In these solutions, the solute may beliquid, solid, or gas. For example, a mixture of oxygen and nitrogen gas is agaseous solution.

(ii) Liquid solution:

The solution in which the solventis a liquid is known as a liquid solution. The solute in these solutions may begas, liquid, or solid.

For example, a solution ofethanol in water is a liquid solution.

(iii) Solid solution:

The solution in which the solventis a solid is known as a solid solution. The solute may be gas, liquid orsolid. For example, a solution of copper in gold is a solid solution.

Question - 14 : -

Give an example of solid solutionin which the solute is a gas.

Answer - 14 : -

In case a solid solution isformed between two substances (one having very large particles and the otherhaving very small particles), an interstitial solid solution will be formed.For example, a solution of hydrogen in palladium is a solid solution in whichthe solute is a gas.

Question - 15 : -

Define the following terms:


Answer - 15 : -

(i) Mole fraction

(ii) Molality

(iii) Molarity

(iv) Mass percentage.


Answer

Question - 16 : -

Concentrated nitric acid used inlaboratory work is 68% nitric acid by mass in aqueous solution. What should bethe molarity of such a sample of the acid if the density of the solution is1.504 g mL−1?

Answer - 16 : -

Molarity of solution 

Question - 17 : -

A solution of glucose in water islabelled as 10% w/w, what would be the molality and mole fraction of eachcomponent in the solution? If the density of solution is 1.2 g mL−1,then what shall be the molarity of the solution?

Answer - 17 : -

10% w/w solution of glucose inwater means that 10 g of glucose in present in 100 g of the solution i.e., 10 gof glucose is present in (100 − 10) g = 90 g of water.

Molar mass of glucose (C6H12O6)= 6 × 12 + 12 × 1 + 6 × 16 = 180 g mol−1

Then,number of moles of glucose


Question - 18 : -

How many mL of 0.1 M HCl arerequired to react completely with 1 g mixture of Na2CO3 andNaHCO3 containing equimolar amounts of both?

Answer - 18 : -

Hence, 159 mL of 0.1 M of HCl isrequired to react completely with 1 g mixture of Na2CO3 andNaHCO3, containing equimolar amounts of both.

Question - 19 : -

A solution is obtained by mixing300 g of 25% solution and 400 g of 40% solution by mass. Calculate the masspercentage of the resulting solution.

Answer - 19 : -

Question - 20 : -

An antifreeze solution isprepared from 222.6 g of ethylene glycol (C2H6O2)and 200 g of water. Calculate the molality of the solution. If the density ofthe solution is 1.072 g mL−1, then what shall be the molarity of thesolution?

Answer - 20 : - Molar mass of ethylene glycol= 2 × 12 + 6 × 1 + 2 ×16

= 62 gmol−1

Numberof moles of ethylene glycol
= 3.59 mol
Therefore,molality of the solution = 17.95 m

Total mass of the solution =(222.6 + 200) g

= 422.6 g

Given,

Density of the solution = 1.072 gmL−1

Volume of the solution

= 394.22 mL

= 0.3942 × 10−3 L

 Molarity of thesolution 

= 9.11 M

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