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.

Q1.6:
How many mL of 0.1 M HCl are required to react completely with 1 g mixture of \(Na_{2}CO_{3}\) and \(NaHCO_{3}\) containing equimolar amounts of both?

Solution :

Step 1: Establishing Molar Relationships

Let the number of moles of $Na_2CO_3$ be $x$ mol and the number of moles of $NaHCO_3$ be $x$ mol [Given: Equimolar mixture].

The molar masses are calculated as follows:

  • Molar mass of $Na_2CO_3 = (2 \times 23.0) + 12.0 + (3 \times 16.0) = 106.0 \text{ g/mol}$
  • Molar mass of $NaHCO_3 = 23.0 + 1.0 + 12.0 + (3 \times 16.0) = 84.0 \text{ g/mol}$

Step 2: Solving for Moles ($x$)

The total mass of the mixture is $1.0 \text{ g}$. Therefore:

$(x \times 106.0) + (x \times 84.0) = 1.0 \text{ g}$

$190.0x = 1.0 \implies x = \frac{1}{190} \text{ mol} \approx 5.263 \times 10^{-3} \text{ mol}$

Step 3: Chemical Stoichiometry

The reaction of $HCl$ with the components is as follows:

  1. $Na_2CO_3 + 2HCl \rightarrow 2NaCl + H_2O + CO_2$ [Stoichiometric ratio: 1:2]
  2. $NaHCO_3 + HCl \rightarrow NaCl + H_2O + CO_2$ [Stoichiometric ratio: 1:1]

Total moles of $HCl$ required ($n_{HCl}$):

$n_{HCl} = 2(x) + 1(x) = 3x$

$n_{HCl} = 3 \times \left(\frac{1}{190}\right) = \frac{3}{190} \text{ mol} \approx 0.01579 \text{ mol}$

Step 4: Calculating Volume of 0.1 M HCl

Using the molarity formula: $M = \frac{n}{V(L)}$ [Per the definition of Molarity]

$0.1 \text{ mol/L} = \frac{\frac{3}{190} \text{ mol}}{V(L)}$

$V(L) = \frac{3}{190 \times 0.1} = \frac{3}{19} \text{ L}$

$V(mL) = \left(\frac{3}{19}\right) \times 1000 \text{ mL} \approx 157.89 \text{ mL}$

Visual Representation of Stoichiometry

Na2CO3 (x) NaHCO3 (x) Requires 2x HCl Requires 1x HCl Total HCl = 3x

Final Solution: The volume of 0.1 M HCl required is 157.89 mL.


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

(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

(9)
Top Tutor
locationImg Rajouri Garden, Delhi
experience 10 yrs of Exp students 1 student
greenClock 8 hrs of classes completed
rsIcon 1200 per hour
PGT Economics & Accountancy with more than 10 years of experience
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home

I believe in delivering concepts and knowledge from the scratch so as to make the subject easy and relatable. My target is not only marks but rather developing an interest in the students for the subjects so as to have a better understanding and a good prospect for the future.

Piyush Goyal

I literally loved it. Studying economics from him was the best decision I made during my crucial year of high school. I would literally wait for his classes. Making students understand difficult concepts in no time, giving practical examples, mentoring students throughout the year, and giving some quality exam papers for practice, he covered them all and as a result, we were so confident the night before the exam. He is the one you need to back you. I am sure you don't want to miss this. Highly recommended.

Skills: Economics , Accounts and more
Also teaches: Class 11 Tuition

(17)
Top Tutor
locationImg Sector-40, Chandigarh
experience 10 yrs of Exp students 3 students
greenClock 12 hrs of classes completed
rsIcon 500 per hour
i will give result either your money back , syllbus will be finished in 3 months and then revision.
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home

m baljinder kaur professor in punjab university chandigarh. i have 10 years of experience. i taught 4 years in aakash institute to JEE and NEET level students also.

Aishvarya

Baljinder ma'am teach very well , i love the way ma'am teach . I recommend everyone who is preparing for board exam , i was fail in my prebord exam , but when I joined ma'am class , after 2 months i got 88 percent in board. She encouraged a lot and that's y I got good score specially in organic chemistry, i was totally nil but now m very comfortable in that and due to this now m planning for jee exam with baljinder ma'am only. She can do anything. Strongly recommend.

Skills: Mathematics , Physics and more
Also teaches: NEET-UG Coaching, Class 10 Tuition and more

(25)
Top Tutor
locationImg Vidyaranyapura, Bangalore
experience 5 yrs of Exp students 2 students
greenClock 765 hrs of classes completed
rsIcon 400 per hour
Optional Kannada Faculty with 7 Years of Teaching Experience
Online Classes Online Classes

My teaching approach focuses on creating fun and interactive lessons tailored to each student's unique learning style. I believe in fostering a supportive learning environment where students feel confident to ask questions and engage with the material. My goal is to empower students by helping them not only understand complex concepts but also to build their confidence and critical thinking skills.

Beena Phulelu

It was a wonderful experience. The way of teaching is excellent. I got to learn so much in this learning period. Earlier I use to hesitate to talk to people but I can handle a team because of the knowledge I gained and the skill of talking to people. My teacher Satish sir is an awesome person very patient and calm and the way he teaches is excellent. It had a very good experience in MYM.

Skills: Kannada
Also teaches: Class 7 Tuition, Class 9 Tuition and more

(37)
superTutorSuper Tutor
locationImg BTM 6th Stage, Bangalore
experience 11 yrs of Exp students 9 students
greenClock 994 hrs of classes completed
rsIcon 650 per hour
A deeply passionate and dedicated educator with 11 years of teaching experience.
Online Classes Online Classes
homeTutions Student's Home

With over 11 years of teaching experience, I have had the privilege of mentoring more than 5,000 students across various reputed coaching institutes in Bangalore. My teaching has primarily focused on preparing students for competitive exams, and I take pride in the fact that many of my students have successfully qualified for NEET, JEE and CET under my guidance. Throughout my career, I have been committed to delivering clear, concept-driven instruction while fostering a supportive and open classroom environment. I ensure that every student, regardless of their level, feels comfortable asking questions and engaging actively in the learning process. My ability to simplify complex topics and build strong student rapport continues to be the cornerstone of my teaching approach.

Sanjana

Sir explains the subject maths very well in detail.He explains all the concepts. Clears all the doubts.

Skills: Physics , Mathematics

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 »