How many mL of 0.1 M HCL are required to react completely with 1g mixture of \(\text{Na}_2\text{CO}_3\) and \(\text{NaHCO}_3\) containing equimolar amounts of both?
Solution and Explanation
Let the amount of \(\text{Na}_2\text{CO}_3\) in the mixture be \(x \,g\).
Then, the amount of \(\text{NaHCO}_3\) in the mixture is \((1 - x) g.\)
Molar mass of \(\text{Na}_2\text{CO}_3= 2\times23+1\times 12+3\times16\)
\(= 106\, \text{g mol}^{-1}\)
∴Number of moles \(\text{Na}_2\text{CO}_3 = \frac{x}{106} \text{mol}\)
Molar mass of \(\text{NaHCO}_3 = 1 \times23+ 1\times1\times12+3\times16\)
\(= 84\, \text{g mol}^{-1}\)
∴Number of moles of \(\text{NaHCO}_3= \frac{(1-x)}{84} \text{mol}\)
According to the question,
\(\frac{x}{106} =\frac{(1-x)}{84}\)
\(⇒84x=106-106x\)
\(⇒190x = 106\)
\(⇒x=0.5579\)
Therefore, number of moles of \(\text{Na}_2\text{CO}_3= \frac{0.5579}{106} \text{mol}\)
\(=0.0053\text{mol}\)
And, number of moles of \(\text{NaHCO}_3= \frac{1-0.5579}{84}\)
\(= 0.0053 \text{mol}\)
\(\text{HCI}\) reacts with \(\text{Na}_2\text{CO}_3\) and \(\text{NaHCO}_3\) according to the following equation.
\(2\text{HCI} + \text{Na}_2\text{CO}_3 → 2\text{NaCl} + \text{H}_2\text{O} + \text{CO}_2\)
\(2 \text{mol}\) \(1 \text{mol}\)
\(\text{HCI} + \text{NaHCO}_3→ \text{NaCI} +\text{H}_2\text{O} + \text{CO}_2\)
\(1mol\) \(1 mol\)
1 mol of \(\text{Na}_2\text{CO}_3\) reacts with \(2 mol\) of \(\text{HCI}.\)
Therefore, \(0.0053 mol\) of \(\text{Na}_2\text{CO}_3\) reacts with \(2 \times 0.0053\, mol = 0.0106\, mol.\)
Similarly, \(1 mol\) of \(\text{NaHCO}_3\) reacts with \(1 mol\) of \(\text{HCI}.\)
Therefore, \(0.0053 mol\) of \(\text{NaHCO}_3\), reacts with \(0.0053 mol\) of \(\text{HCL}\)
Total moles of \(\text{HCI}\) required \(= (0.0106 +0.0053) mol\)
\(=0.0159 mol\)
In 0.1 M of \(\text{HCI}\),
\(0.1 mol\) of \(\text{HCI}\) is preset in 1000 mL of the solution.
Therefore, 0.0159 mol of \(HCI\) is present in \(\frac{(1000\times 0.0159)}{0.1}mol\)
= 159 mL of the solution
Hence, = 159 mL of 0.1 M of \(\text{HCI}\) is required to react completely with 1 g mixture of \(\text{Na}_2\text{CO}_3\) and \(\text{NaHCO}_3\) containing equimolar amounts of both.
Top Questions on Expressing Concentration of Solutions
- The reaction that does NOT take place in a blast furnace between 900K to 1500K temperature range during extraction of iron is:
- BITSAT - 2023
- Chemistry
- Expressing Concentration of Solutions
Which of the following compounds would give the following set of qualitative analysis?
• (i) Fehling’s Test: Positive
• (ii) Na fusion extract upon treatment with sodium nitroprusside gives a blood red colour but not- JEE Main - 2023
- Chemistry
- Expressing Concentration of Solutions
- A 30% solution of hydrogen peroxide is
- KCET - 2023
- Chemistry
- Expressing Concentration of Solutions
- Chlorophyll extracted from the crushed green leaves was dissolved in water to make 2 L solution of Mg of concentration 48 ppm. The number of atoms of Mg in this solution is \(x × 10^{20}\) atoms. The value of \(x\) is ________. (Nearest integer)
(Given : Atomic mass of Mg is 24 g mol–1; NA = 6.02 × 1023 mol–1)- JEE Main - 2022
- Chemistry
- Expressing Concentration of Solutions
- A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are independent of the initial concentration. The time required for the concentration of A to be four times that of B is ________s.
(Given : In 2 = 0.693)- JEE Main - 2022
- Chemistry
- Expressing Concentration of Solutions
Questions Asked in CBSE CLASS XII exam
- Which fruit has the maximum vitamin A content?
- CBSE CLASS XII - 2024
- Nutrition
- Write the reactions of glucose with
(a) HI
(b)\((CH_3CO_2)O\)- CBSE CLASS XII - 2024
- Biomolecules
- Ankur Sachdeva did his MBA from ITB University. He decided to apply his knowledge of scientific management in the fast food restaurant chain 'Coffee Bean' set up by him. This restaurant was providing burgers, fries, shakes etc, as a part of its menu. Nowadays people are quality conscious, so he was using standardised raw materials, processes, methods, working conditions, machinery etc. The objective was to establish standards of excellence. By doing this he was not only able to reduce the cost but was also able to provide new varieties of burgers, fries and shakes leading to increased turnover. Ankur Sachdeva also believed that there was only one best method to maximise efficiency. As a result he developed best way of grilling burgers, cooking fries and preparing shakes. His main objective was to maximise the satisfaction of customers, which he was able to achieve. Not only to learn the best way of doing a job, but to perform their tasks efficiently, 'Coffee Bean' regularly invests in training and development programmes to equip employees with the necessary skill and knowledge. 'Coffee Bean' believed that efficient employees will produce more and earn more. This will ensure their greatest efficiency and prosperity for both company and workers. The above case highlights the use of Scientific principles and techniques by 'Coffee Bean'. Explain any one such principle and two techniques.
- CBSE CLASS XII - 2024
- Marketing Management
- Preeti started her own cooking channel on 'Youtube Mood Art'. As her subscribers increased, she was not in a position to manage everything on her own. She hired Rahul and Riya to help her with filming editing, lighting and content research. She granted authority to them to operate within prescribed limits. She was thus, able to use her time on high priority activities like developing new recipes and content development etc. As a result, Rahul and Riya were given opportunities to develop and exercise initiative. Preeti was now able to focus on objectives and meet the target of achieving a subscriber base of one million in six months.
(a) Identify the concept of management used by Preeti.
(b) Explain any five points of importance of the concept identified in .- CBSE CLASS XII - 2024
- Organising
- Explain the following types of plans:
(b) Strategy
(ii) Method
(iii) Budget- CBSE CLASS XII - 2024
- Principles of Management
Concepts Used:
Concentration of Solutions
It is the amount of solute present in one liter of solution.
Concentration in Parts Per Million - The parts of a component per million parts (106) of the solution.
Mass Percentage - When the concentration is expressed as the percent of one component in the solution by mass it is called mass percentage (w/w).
Volume Percentage - Sometimes we express the concentration as a percent of one component in the solution by volume, it is then called as volume percentage
Mass by Volume Percentage - It is defined as the mass of a solute dissolved per 100mL of the solution.
Molarity - One of the most commonly used methods for expressing the concentrations is molarity. It is the number of moles of solute dissolved in one litre of a solution.
Molality - Molality represents the concentration regarding moles of solute and the mass of solvent.
Normality - It is the number of gram equivalents of solute present in one liter of the solution and it is denoted by N.
Formality - It is the number of gram formula present in one litre of solution.