A solution containing 30 g of non-volati | Class 12 Chemistry Chapter Solutions, Solutions NCERT Solutions

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Academic session 2026-27, Chapter 1 in the current curriculum.

Welcome to the NCERT Solutions for Class 12 Chemistry - Chapter Solutions. This page offers a step-by-step solution to the specific question from Exercise 2, Question 19:

A solution containing 30 g of non-volatile solute exactly in 90 g of water has a vapour pressure of 2.8 kPa at 298 K. Further, 18 g of water is then added to the solution and the new vapour pressure becomes 2.9 kPa at 298 K. Calculate:

1) Molar mass of the solute

2) Vapour pressure of water at 298 K.

. With detailed answers and explanations for each chapter, students can strengthen their understanding and prepare confidently for exams. Ideal for CBSE and other board students, this resource will simplify your study experience.

Question 19:

A solution containing 30 g of non-volatile solute exactly in 90 g of water has a vapour pressure of 2.8 kPa at 298 K. Further, 18 g of water is then added to the solution and the new vapour pressure becomes 2.9 kPa at 298 K. Calculate:

1) Molar mass of the solute

2) Vapour pressure of water at 298 K.

Answer:

Let, the molar mass of the solute be M g mol - 1

Now, the no. of moles of solvent (water),n1 = 90g / 18g mol-1

And, the no. of moles of solute,n2 = 30g / M mol-1 = 30 / M mol

p1 = 2.8 kPa

Applying the relation:

(p10 - p1) / p10    =  n2 / (n1  + n2)

⇒ (p10 - 2.8) / p10    =  (30/M)  / {5  + (30/M)}

⇒ 1 - (2.8/p10)  = (30/M) / {(5M+30)/M}

⇒ 1 - (2.8/p10) = 30 / (5M + 30)

⇒ 2.8/p10  = 1 -  30 / (5M + 30)

⇒ 2.8/p10   =  (5M + 30 - 30) / (5M + 30)

⇒ 2.8/p10   = 5M / (5M+30)

⇒ p10 / 2.8  =  (5M+30) / 5M  ----------------(1)

After the addition of 18 g of water:

n1 = (90+18g) / 18  = 6 mol

and the new vapour pressure is p1 = 2.9 kPa   (Given)

Again, applying the relation:

(p10 - p1) / p10    =  n2 / (n1  + n2)

⇒ (p10 - 2.9) / p10    =  (30/M)  / {6  + (30/M)}

⇒ 1 - (2.9/p10)  = (30/M) / {(6M+30)/M}

⇒ 1 - (2.9/p10) = 30 / (6M + 30)

⇒ 2.9/p10  = 1 -  30 / (6M + 30)

⇒ 2.9/p10   =  (6M + 30 - 30) / (6M + 30)

⇒ 2.9/p10   = 6M / (6M+30)

⇒ p10 / 2.9  =  (6M+30) / 6M  ----------------(2)

Dividing equation (1) by (2),we get:

2.9 / 2.8 =   {(5M+30) / 5M} / {(6M+30) / 6M}

⇒ 2.9 x (6M+30 / 6)  =  (5M+30 / 5) x 2.8

⇒ 2.9 x (6M +30) x 5 = (5M+30) x 2.8 x 6

⇒ 87M + 435  =  84M + 504

⇒ 3M = 69

⇒ M = 23u

Therefore, the molar mass of the solute is 23 g mol - 1.

 

(ii) Putting the value of 'M' in equation (i), we get:

⇒ p10 / 2.8  =  (5M+30) / 5M 

⇒ p10 / 2.8  =  (5x23+30) / 5x23

⇒  p10  =  (145 x 2.8) / 115

⇒  p10  =  3.53

Hence, the vapour pressure of water at 298 K is 3.53 kPa.


Study Tips for Answering NCERT Questions:

NCERT questions are designed to test your understanding of the concepts and theories discussed in the chapter. Here are some tips to help you answer NCERT questions effectively:

  • Read the question carefully and focus on the core concept being asked.
  • Reference examples and data from the chapter when answering questions about Solutions.
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  • Practice answering questions within the time limit to improve your speed and accuracy.
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Comments

  • Why
  • Jul 26, 2019

Thank you so much..it really helped me a lot


  • Meraj alam
  • Jul 03, 2019

Why are you adding 1 in p°-p/p° ??


  • Best explaination
  • May 23, 2019

Nice


  • Arsh
  • Feb 19, 2019

Really good


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Welcome to the NCERT Solutions for Class 12 Chemistry - Chapter . This page offers a step-by-step solution to the specific question from Excercise 2 , Question 19: A solution containing 30 g of non-volatile solute exactly in 90 g of water has a vapour pressure of ....

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