default_background
✕

Find the best tutors and institutes for Class 12 Tuition

Find Best Class 12 Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Q1.27:
If the solubility product of CuS is \(6 \times 10^{-16}\), calculate the maximum molarity of CuS in aqueous solution.

Solution :

Step 1: Theoretical Foundation of Solubility

The solubility product constant ($K_{sp}$) describes the equilibrium between a sparingly soluble ionic compound and its saturated solution. For the dissociation of Copper(II) sulfide (CuS) in water, the chemical equilibrium is expressed as:

$CuS(s) \rightleftharpoons Cu^{2+}(aq) + S^{2-}(aq)$

[Per the Law of Mass Action, the $K_{sp}$ expression is the product of the molar concentrations of the constituent ions raised to their stoichiometric coefficients].

Step 2: Defining Molar Solubility

Let $s$ represent the molar solubility of CuS in $mol \cdot L^{-1}$. When $s$ moles of CuS dissolve, they produce $s$ moles of $Cu^{2+}$ ions and $s$ moles of $S^{2-}$ ions per liter of solution.

  • $[Cu^{2+}] = s$
  • $[S^{2-}] = s$

Step 3: Setting up the Algebraic Equation

The expression for the solubility product is:

$K_{sp} = [Cu^{2+}][S^{2-}]$

Substituting the molar solubility values into the equation:

$K_{sp} = (s)(s) = s^2$

Step 4: Calculation of Molar Solubility

Given that $K_{sp} = 6 \times 10^{-16}$, we equate this to our derived expression:

$s^2 = 6 \times 10^{-16}$

To solve for $s$, we take the square root of both sides:

$s = \sqrt{6 \times 10^{-16}}$

$s = \sqrt{6} \times \sqrt{10^{-16}}$

$s \approx 2.449 \times 10^{-8} \, mol \cdot L^{-1}$

Step 5: Illustrative Equilibrium Diagram

CuS(s) Solid Phase Cu²⁺(aq) S²⁻(aq) Solubility Equilibrium in Aqueous Phase

Final Analytical Synthesis

Parameter Value
Solubility Product ($K_{sp}$) $6 \times 10^{-16}$
Mathematical Relation $s = \sqrt{K_{sp}}$
Molar Solubility ($s$) $2.45 \times 10^{-8} \, M$

Final Solution: The maximum molarity of CuS in an aqueous solution is $2.45 \times 10^{-8} \, mol \cdot L^{-1}$.


More Questions from Class 12 Chemistry Solutions Exercises


CBSE Solutions for Class 12 Chemistry Solutions


Chapters in CBSE - Class 12 Chemistry


Top Tutors who teach Solutions

(1)
Top Tutor
locationImg Bisrakh, Noida
experience 5 yrs of Exp students 1 student
greenClock 2 hrs of classes completed
rsIcon 500 per hour
Online Classes Online Classes

I am counselling psychologist cum PGT Psychology in a leading school in noida. I have worked with prestigious organisations like Ganga ram hospital, apollo hospital, all india women conference as a counselor. As a teacher i have been associated with DPS and other organisations.

Skills: English , Psychology and more

Sai V. Class 12 Tuition trainer in Madappanahalli
(150)
Top Tutor
locationImg Itagalpura Main Rd, Madappanahalli
experience 16 yrs of Exp students 9 students
greenClock 4354 hrs of classes completed
rsIcon 600 per hour
MSc, BEd , (Phd), Member of Royal Society UK
Online Classes Online Classes

Class 12 in the CBSE/ICSE system in India is a crucial year for students, as it is the final year of their secondary education. Learning Methodology in physics. Understand the Basics First: Start with a solid foundation by grasping the fundamental concepts and principles of physics. Ensure you have a good grasp of mathematics, as it is an essential tool in physics. Begin by understanding the fundamental concepts of physics, such as motion, forces, energy, and matter. A strong foundation is essential. Chunk Information: Break down the material into smaller, manageable chunks. Focus on one concept at a time, master it, and then move on to the next. Active Learning: Engage actively with the material. Instead of just reading or listening, try to solve problems, ask questions, and make connections between concepts. Practice Problem-Solving: Physics involves a lot of problem-solving. Work through a variety of physics problems regularly to reinforce your understanding. Seek out practice problems and solutions in textbooks or online resources. Start with straightforward physics problems and gradually work your way up to more complex ones. Practice problem-solving regularly. Visualize Concepts: Physics concepts can often be abstract. Use visual aids, diagrams, and animations to help you understand and remember complex ideas. Relate physics concepts to everyday experiences or familiar analogies. For example, compare the flow of electricity in a circuit to the flow of water in pipes Create concept maps or mind maps to connect related physics concepts. This can help you see the relationships between different ideas. I am teaching Physics with the concept of a child-centered education system. Currently, I am working in a CBSE school having 12years of experience. I have 9 years of online teaching experience with technical skills. I can teach Physics with the basic concepts following the standards of the CBSE Curriculum with practical applications, and numerical solving methods. I can ensure that I will give complete value to the student for their academics. Please have a look at my profile for more information

Manju

Teacher is excellent but one thing to say please fix the class time some times massage not received that's why today's class is missed.

Skills: Physics
Also teaches: Class 8 Tuition, Class 9 Tuition and more

(36)
Top Tutor
locationImg Bhagalpur, Bhagalpur
experience 15 yrs of Exp students 3 students
greenClock 152 hrs of classes completed
rsIcon 600 per hour
Break The Term, Learn The Biology
Online Classes Online Classes

Biology like never before, every line of NCERT elaborating with a lot of mnemonics to make learning so easy

Gabriella Sawkmie mawlong

I strongly recommend sir. His dedication to his students is unmatched, consistently going above and beyond to ensure they understand and excel in their studies. He takes the time to personalize his approach for each student, recognizing their unique strengths and areas for improvement. He has an unwavering commitment to motivating his students. He knows how to inspire confidence, push them to reach their full potential, and ignite a genuine passion for learning.

Skills: Biology

(26)
Top Tutor
locationImg Madambakkam, Chennai
experience 15 yrs of Exp students 17 students
greenClock 205 hrs of classes completed
rsIcon 500 per hour
Exclusive CBSE and NEET TRAINER
Online Classes Online Classes

Good experience to conduct classes with some working model .. have one YouTube channel for class 12 CBSE Chemistry students.. I have 15 years of experience in handling the grade 12 students, and I can be a good mentor for your ward.. I will follow ncert book for class 12 grade and it is more than enough for competitive exams...

Hema

Your teaching was so crystal clear. You made me understand the depth of the concepts so easily. I got a very good foundation in the concepts by your teaching Sir. You made me overcome even the smallest difficulties I faced during problem solving. The naming charts and road maps which you asked us to make for the organic chemistry made me easily solve the conversion type questions Sir. I had a very great exposure to all the concepts and questions in the subject. Thank you so much for your personalised attention which created a great love for the subject Sir.

Skills: Chemistry

(34)
Top Tutor
locationImg Vimanapura Krishna Nagar, Bangalore
experience 7 yrs of Exp students 6 students
greenClock 717 hrs of classes completed
rsIcon 700 per hour
Guru
Online Classes Online Classes
homeTutions Student's Home

In this competitive world education is the most important tool rather I say that it is sword by which one can win the competition.so I am in this field from last four years and teaching is my passion and even strength.My students are very happy with me in college as well as in tutions. Their results show it all. Students are always been encouraged to do studies one should not force them for the same.

Venkatesh

Ramachandra sir's classes have helped me alot. It started with chemistry classes in Class 10 and continued in 11 th and 12 th for chem, phy and maths and it has been very helpful for me. He is patient at explaining questions and solving doubts( even if they are very very silly). I have been able to grasp concepts better after learning from his classes.

Skills: Mathematics , Physics and more
Also teaches: Class 9 Tuition, BTech Tuition and more

Other Subjects in CBSE - Class 12

Worksheet Icon

Download free CBSE - Class 12 Chemistry Solutions Exercises worksheets

Download Now

Find Best Class 12 Tuition ?

Find Now »