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Learn Intext Exercise 2.1 with Free Lessons & Tips

Calculate the mass percentage of benzene (C6H6) and carbon tetrachloride (CCl4) if 22 g of benzene is dissolved in 122 g of carbon tetrachloride.

Mass percentage of C6H6

Mass percentage of CCl4

Alternatively,

Mass percentage of CCl4 = (100 − 15.28)%

= 84.72%

Comments

Calculate the mole fraction of benzene in solution containing 30% by mass in carbon tetrachloride.

Let the total mass of the solution be 100 g and the mass of benzene be 30 g.

∴Mass of carbon tetrachloride = (100 − 30)g

= 70 g

Molar mass of benzene (C6H6) = (6 × 12 + 6 × 1) g mol−1

= 78 g mol−1

∴Number of moles of

= 0.3846 mol

Molar mass of carbon tetrachloride (CCl4) = 1 × 12 + 4 × 35.5

= 154 g mol−1

∴Number of moles of CCl4

= 0.4545 mol

Thus, the mole fraction of C6H6 is given as:

= 0.458

Comments

Calculate the molarity of each of the following solutions: (a) 30 g of Co(NO3)2. 6H2O in 4.3 L of solution (b) 30 mL of 0.5 M H2SO4 diluted to 500 mL.

Molarity is given by:

(a) Molar mass of Co (NO3)2.6H2O = 59 + 2 (14 + 3 × 16) + 6 × 18

= 291 g mol−1

∴Moles of Co (NO3)2.6H2O

= 0.103 mol

Therefore, molarity

= 0.023 M

(b) Number of moles present in 1000 mL of 0.5 M H2SO4 = 0.5 mol

∴Number of moles present in 30 mL of 0.5 M H2SO4

= 0.015 mol

Therefore, molarity

= 0.03 M

Comments

Calculate the mass of urea (NH2CONH2) required in making 2.5 kg of 0.25 molal aqueous solution.

Molar mass of urea (NH2CONH2) = 2(1 × 14 + 2 × 1) + 1 × 12 + 1 × 16

= 60 g mol−1

0.25 molar aqueous solution of urea means:

1000 g of water contains 0.25 mol = (0.25 × 60)g of urea

= 15 g of urea

That is,

(1000 + 15) g of solution contains 15 g of urea

Therefore, 2.5 kg (2500 g) of solution contains

= 36.95 g

= 37 g of urea (approximately)

Hence, mass of urea required = 37 g

Note: There is a slight variation in this answer and the one given in the NCERT textbook.

Comments

Calculate (a) molality (b) molarity and (c) mole fraction of KI if the density of 20% (mass/mass) aqueous KI is 1.202 g mL-1.

 

(a) Molar mass of KI = 39 + 127 = 166 g mol−1

20% (mass/mass) aqueous solution of KI means 20 g of KI is present in 100 g of solution.

That is,

20 g of KI is present in (100 − 20) g of water = 80 g of water

Therefore, molality of the solution

= 1.506 m

= 1.51 m (approximately)

(b) It is given that the density of the solution = 1.202 g mL−1

∴Volume of 100 g solution

= 83.19 mL

= 83.19 × 10−3 L

Therefore, molarity of the solution

= 1.45 M

(c) Moles of KI

Moles of water

Therefore, mole fraction of KI

= 0.0263

Comments

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