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NCERT Chemistry – Class 11, Chapter 1: Some Basic Concepts of Chemistry
“Some Basic Concepts of Chemistry” is the first chapter in the class 11 chemistry syllabus as prescribed by NCERT. The chapter touches upon topics such as the importance of chemistry, atomic mass, and molecular mass. Some basic laws and theories in chemistry such as Dalton’s atomic theory, Avogadro law, and the law of conservation of mass are also discussed in this chapter.
The types of questions provided in the NCERT class 11 chemistry textbook for chapter 1 include:
- Numerical problems on calculating the molecular weight of compounds.
- Numerical problems on calculating mass per cent and concentration.
- Problems on empirical and molecular formulae.
- Problems on molarity and molality.
- Other problems related to the mole concept (such as percentage composition and expressing concentration in parts per million).
The Chemistry NCERT Solutions provided in this page for Class 11 (Chapter 1) provide detailed explanations on the steps to be followed while solving the numerical value questions that are frequently asked in examinations. The subtopics covered under the chapter are listed below.
NCERT Chemistry Class 11 Chapter 1 Subtopics (“Some Basic Concepts of Chemistry”)
- Importance Of Chemistry
- Nature Of Matter
- Properties Of Matter And Their Measurement
- The International System Of Units (Si)
- Mass And Weight
- Uncertainty in Measurement
- Scientific Notation
- Significant Figures
- Dimensional Analysis
- Laws Of Chemical Combinations
- Law Of Conservation Of Mass
- Law Of Definite Proportions
- Law Of Multiple Proportions
- Gay Lussac’s Law Of Gaseous Volumes
- Avogadro Law
- Dalton’s Atomic Theory
- Atomic And Molecular Masses
- Atomic Mass
- Average Atomic Mass
- Molecular Mass
- Formula Mass
- Mole Concept And Molar Masses
- Percentage Composition
- Empirical Formula For Molecular Formula
- Stoichiometry And Stoichiometric Calculations
- Limiting Reagent
- Reactions In Solutions.
NCERT Solutions for Class 11 Chemistry Chapter 1
Exercise
Q1. Calculate the molar mass of the following:
(i)
Ans.
(i)
Molecular weight of methane,
= (1 x Atomic weight of carbon) + (4 x Atomic weight of hydrogen)
= [1(12.011 u) +4 (1.008u)]
= 12.011u + 4.032 u
= 16.043 u
(ii)
Molecular weight of water,
= (2 x Atomic weight of hydrogen) + (1 x Atomic weight of oxygen)
= [2(1.0084) + 1(16.00 u)]
= 2.016 u +16.00 u
= 18.016u
So approximately
= 18.02 u
(iii)
= Molecular weight of carbon dioxide,
= (1 x Atomic weight of carbon) + (2 x Atomic weight of oxygen)
= [1(12.011 u) + 2(16.00 u)]
= 12.011 u +32.00 u
= 44.011 u
So approximately
= 44.01u
Q2. Calculate the mass per cent of different elements present in sodium sulphate (
Ans.
Now for
Molar mass of
= [(2 x 23.0) + (32.066) + 4(16.00)]
=142.066 g
Formula to calculate mass percent of an element =
Therefore, Mass percent of the sodium element:
=
= 32.379
=32.4%
Mass percent of the sulphur element:
=
= 22.57
=22.6%
Mass percent of the oxygen element:
=
=45.049
=45.05%
Q3. Determine the empirical formula of an oxide of iron, which has 69.9% iron and 30.1% dioxygen by mass.
Ans.
Percent of Fe by mass = 69.9 % [As given above]
Percent of O_{2} by mass = 30.1 % [As given above]
Relative moles of Fe in iron oxide:
=
=
= 1.25
Relative moles of O in iron oxide:
=
=
= 1.88
Simplest molar ratio of Fe to O:
= 1.25: 1.88
= 1: 1.5
Therefore, empirical formula of iron oxide is
Q4. Calculate the amount of carbon dioxide that could be produced when
(i) 1 mole of carbon is burnt in air.
(ii) 1 mole of carbon is burnt in 16 g of dioxygen.
(iii) 2 moles of carbon are burnt in 16 g of dioxygen.
Ans.
(i) 1 mole of carbon is burnt in air.
1 mole of carbon reacts with 1 mole of O_{2} to form one mole of CO_{2}.
Amount of
(ii) 1 mole of carbon is burnt in 16 g of O_{2}.
1 mole of carbon burnt in 32 grams of O_{2} it forms 44 grams of
Therefore, 16 grams of O_{2} will form
= 22 grams of
(iii) 2 moles of carbon are burnt in 16 g of O_{2}.
Since oxygen is the limiting reactant here, the 16g (0.5 mol) of O_{2} will react with 6g of carbon (0.5 mol) to form 22 g of carbon dioxide. The remaining 18g of carbon (1.5 mol) will not undergo combustion.
Q5. Calculate the mass of sodium acetate
.
Ans.
0.375 Maqueous solution of
= 1000 mL of solution containing 0.375 moles of
Therefore, no. of moles of
=
= 0.1875 mole
Molar mass of sodium acetate =
Therefore, mass that is required of
=
= 15.38 gram
Q6. Calculate the concentration of nitric acid in moles per litre in a sample which has a density, 1.41 g mL–1 and the mass per cent of nitric acid in it being 69%
Ans.
Mass percent of HNO_{3} in sample is 69 %
Thus, 100 g of HNO_{3} contains 69 g of HNO_{3} by mass.
Molar mass of HNO_{3}
= { 1 + 14 + 3(16)}
= 1 + 14 + 48
Now, No. of moles in 69 g of
=
= 1.095 mol
Volume of 100g HNO_{3} solution
=
=
= 70.92mL
=
Concentration of HNO_{3}
=
= 15.44mol/L
Therefore, Concentration of HNO_{3} = 15.44 mol/L
Q7. How much copper can be obtained from 100 g of copper sulphate (CuSO4)?
Ans.
1 mole of
Molar mass of
= (63.5) + (32.00) + 4(16.00)
= 63.5 + 32.00 + 64.00
= 159.5 gram
159.5 gram of
Therefore, 100 gram of
=
=39.81 gram
Q8. Determine the molecular formula of an oxide of iron, in which the mass per cent of iron and oxygen are 69.9 and 30.1, respectively.
Ans.
Here,
Mass percent of Fe = 69.9%
Mass percent of O = 30.1%
No. of moles of Fe present in oxide
=
= 1.25
No. of moles of O present in oxide
=
=1.88
Ratio of Fe to O in oxide,
= 1.25: 1.88
=
=
=
Therefore, the empirical formula of oxide is
Empirical formula mass of
= [2(55.85) + 3(16.00)] gr
= 159.69 g
Therefore n =
= 0.999
= 1(approx)
The molecular formula of a compound can be obtained by multiplying n and the empirical formula.
Thus, the empirical of the given oxide is
Q9. Calculate the atomic mass (average) of chlorine using the following data:
Percentage Natural Abundance | Molar Mass | |
75.77 | 34.9689 | |
24.23 | 36.9659 |
Ans.
Average atomic mass of Cl.
=[(Fractional abundance of
=[{(
= 26.4959 + 8.9568
= 35.4527 u
Therefore, the average atomic mass of Cl = 35.4527 u
Q10. In three moles of ethane (C2H6), calculate the following:
(i) Number of moles of carbon atoms.
(ii) Number of moles of hydrogen atom
(iii) Number of molecules of ethane
Ans.
(a) 1 mole
= 2 * 3
= 6
(b) 1 mole
= 3 * 6
= 18
(c) 1 mole
= 3 * 6.023 *
= 18.069 *
Q11. What is the concentration of sugar (C12H22O11) in mol L–1 if its 20 g are dissolved in enough water to make a final volume up to 2L?
Ans.
Molarity (M) is as given by,
=
=
=
=
=
= 0.02925 mol
Therefore, Molar concentration = 0.02925 mol
Q12. If the density of methanol is 0.793 kg L–1, what is its volume needed for making 2.5 L of its 0.25 M solution?
Ans.)
Molar mass of
= (1 * 12) + (4 * 1) + (1 * 16)
= 32 g
= 0.032 kg
Molarity of the solution
=
= 24.78 mol
(From the definition of density)
Q13. Pressure is determined as force per unit area of the surface. The SI unit of pressure, pascal is as shown below:
1Pa = 1N m–2
If mass of air at sea level is 1034 g cm–2, calculate the pressure in pascal
Ans.
As per definition, pressure is force per unit area of the surface.
P =
=
= 1.01332 ×
Now,
1 N = 1 kg m
Then,
1 Pa = 1
= 1
Pa = 1
Q14. What is the SI unit of mass? How is it defined?
Ans.
Si Unit: Kilogram (kg)
Mass:
“The mass equal to the mass of the international prototype of kilogram is known as mass.”
Q15. Match the following prefixes with their multiples:
Prefixes | Multiples | |
(a) | femto | 10 |
(b) | giga | |
(c) | mega | |
(d) | deca | |
(e) | micro |
Ans.
Prefixes | Multiples | |
(a) | femto | |
(b) | giga | |
(c) | mega | |
(d) | deca | 10 |
(e) | micro |
Q16. What do you mean by significant figures?
Ans.
Significant figures are the meaningful digits which are known with certainty. Significant figures indicate uncertainty in experimented value.
e.g.: The result of the experiment is 15.6 mL in that case 15 is certain and 6 is uncertain. The total significant figures are 3.
Therefore, “the total number of digits in a number with the Last digit the shows the uncertainty of the result is known as significant figures.”
Q17. A sample of drinking water was found to be severely contaminated with chloroform, CHCl3, supposed to be carcinogenic in nature. The level of contamination was 15 ppm (by mass).
(i) Express this in per cent by mass.
(ii) Determine the molality of chloroform in the water sample.
Ans.
(a) 1 ppm = 1 part out of 1 million parts.
Mass percent of 15 ppm chloroform in H_{2}O
=
=
(b) 100 gram of the sample is having 1.5 ×
1000 gram of the sample is having 1.5 ×
=
Molar mass (
= 12 + 1 + 3 (35.5)
= 119.5 gram
Therefore, molality of
= 1.25 ×
Q18. Express the following in the scientific notation:
(i) 0.0048
(ii) 234,000
(iii) 8008
(iv) 500.0
(v) 6.0012
Ans.
(a) 0.0048= 4.8 ×
(b) 234,000 = 2.34 ×
(c) 8008= 8.008 ×
(d) 500.0 = 5.000 ×
(e) 6.0012 = 6.0012
Q19. How many significant figures are present in the following?
(a) 0.0027
(b) 209
(c)6005
(d)136,000
(e) 900.0
(f)2.0035
Ans.
(i) 0.0027: 2 significant numbers.
(ii) 209: 3 significant numbers.
(iii)6005: 4 significant numbers.
(iv)136,000:3 significant numbers.
(v) 900.0: 4 significant numbers.
(vi)2.0035: 5 significant numbers.
Q20. Round up the following upto three significant figures:
(a) 35.217
(b) 11.4108
(c)0.05577
(d)2806
Ans.
(a) The number after round up is: 35.2
(b) The number after round up is: 11.4
(c)The number after round up is: 0.0560
(d)The number after round up is: 2810
Q21. The following data are obtained when dinitrogen and dioxygen react together to form different compounds:
Mass of dioxygen | Mass of dinitrogen | |
(i) | 16 g | 14 g |
(ii) | 32 g | 14 g |
(iii) | 32 g | 28 g |
(iv) | 80 g | 28 g |
(a) Which law of chemical combination is obeyed by the above experimental data?
Give its statement.
(b) Fill in the blanks in the following conversions:
(i) 1 km = …………………. mm = …………………. pm
(ii) 1 mg = …………………. kg = …………………. ng
(iii) 1 mL = …………………. L = …………………. dm3
Ans.
(1) If we fix the mass of N_{2} at 28 g, the masses of N_{2} that will combine with the fixed mass of N_{2} are 32 gram, 64 gram, 32 gram and 80 gram.
The mass of O_{2} bear whole no. ratio of 1: 2: 2: 5. Therefore, the given information obeys the law of multiple proportions.
The law of multiple proportions states, “If 2 elements combine to form more than 1 compound, then the masses of one element that combines with the fixed mass of another element are in the ratio of small whole numbers.”
(2) Convert:
(a) 1 km = ____ mm = ____ pm
- 1 km = 1 km *
$\frac{ 1000 \; m }{ 1 \; km }$ ×$\frac{ 100 \; cm }{ 1 \; m }$ *$\frac{ 10 \; mm }{ 1 \; cm }$
- 1 km = 1 km *
$\frac{ 1000 \; m }{ 1 \; km }$ *$\frac{1 \; pm}{10^{ -12 } \; m}$
Therefore, 1 km =
(b) 1 mg = ____ kg = ____ ng
- 1 mg = 1 mg *
$\frac{ 1 \; g }{ 1000 \; mg }$ *$\frac{ 1 \; kg }{ 1000 \; g }$
1 mg =
- 1 mg = 1 mg *
$\frac{ 1 \; g }{ 1000 \; mg }$ *$\frac{ 1 \; ng }{ 10^{ -9 } \; g }$
1 mg =
Therefore, 1 mg =
(c) 1 mL = ____ L = ____
- 1 mL = 1 mL *
$\frac{1 \; L}{1000 \; mL}$
1 mL =
- 1 mL = 1
$cm^{ 3 }$ = 1 *$\frac{1 \; dm \; \times \; 1 \; dm \; \times \;1 \; dm }{10 \; cm \; \times \; 10 \; cm \; \times \; 10 \; cm } cm^{ 3 }$
1 mL =
Therefore, 1 mL =
Q22. If the speed of light is 3.0 × 10^{8} m s^{–1}, calculate the distance covered by light in 2.00 ns
Ans.
Time taken = 2 ns
= 2 ×
Now,
Speed of light = 3 ×
So,
Distance travelled in 2 ns = speed of light * time taken
= (3 ×
= 6 ×
= 0.6 m
Q23. In a reaction
A + B2 → AB2
Identify the limiting reagent, if any, in the following reaction mixtures.
(a) 2 mol X + 3 mol Y
(b) 100 atoms of X + 100 molecules of Y
(c) 300 atoms of X + 200 molecules of Y
(d) 2.5 mol X + 5 mol Y
(e) 5 mol X + 2.5 mol Y
Ans.
Limiting reagent:
It determines the extent of a reaction. It is the first to get consumed during a reaction, thus causes the reaction to stop and limiting the amt. of products formed.
(a) 2 mol X + 3 mol Y
1 mole of X reacts with 1 mole of Y. Similarly, 2 moles of X reacts with 2 moles of Y, so 1 mole of Y is unused. Hence, X is limiting agent.
(b) 100 atoms of X + 100 molecules of Y
1 atom of X reacts with 1 molecule of Y. Similarly, 100 atoms of X reacts with 100 molecules of Y. Hence, it is a stoichiometric mixture where there is no limiting agent.
(c) 300 atoms of X + 200 molecules of Y
1 atom of X reacts with 1 molecule of Y. Similarly, 200 atoms of X reacts with 200 molecules of Y, so 100 atoms of X are unused. Hence, Y is limiting agent.
(d) 2.5 mol X + 5 mol Y
1 mole of X reacts with 1 mole of Y. Similarly, 2.5 moles of X reacts with 2.5 moles of Y, so 2.5 mole of Y is unused. Hence, X is limiting agent.
(e) 5 mol X + 2.5 mol Y
1 mole of X reacts with 1 mole of Y. Similarly 2.5 moles of X reacts with 2 moles of Y, so 2.5 mole of X is unused. Hence, Y is limiting agent.
Q24. Dinitrogen and dihydrogen react with each other to produce ammonia according to the following chemical equation:
N2 (g) + H2(g)→ 2NH3 (g)
(a) What is the mass of
(b) Will the reactants N_{2} or H_{2 }remain unreacted?
(c) If any, then which one and give it’s mass.
Ans.
(a) Balance the given equation:
Thus, 1 mole (28 g) of N_{2} reacts with 3 mole (6 g) of H_{2} to give 2 mole (34 g) of
Given:
Amt of H_{2} =
28 g of
Therefore, mass of
=
= 2430 g of
(b)
(c) Mass of H_{2} unreacted
=
= 571.4 g
Q25. How are 0.50 mol Na2CO3 and 0.50 M Na2CO3 different?
Ans.
Molar mass of
= (2 × 23) + 12 + (3 × 16)
= 106 g
1 mole of
Therefore, 0.5 mol of
=
= 53 g of
0.5 M of
Hence, 0.5 mol of
Q26. If 10 volumes of dihydrogen gas reacts with five volumes of dioxygen gas, how many volumes of water vapour would be produced?
Ans.
Reaction:
2 volumes of dihydrogen react with 1 volume of dioxygen to produce two volumes of vapour.
Hence, 10 volumes of dihydrogen will react with five volumes of dioxygen to produce 10 volumes of vapour.
Q27. Convert the following into basic units:
(i) 29.7 pm
(ii) 16.15 pm
(iii) 25366 mg
Ans.
(i) 29.7 pm
1 pm =
29.7 pm = 29.7 ×
= 2.97 ×
(ii) 16.15 pm
1 pm =
16.15 pm = 16.15 ×
= 1.615 ×
(iii) 25366 mg
1 mg =
25366 mg = 2.5366 ×
25366 mg = 2.5366 ×
Q28. Which one of the following will have the largest number of atoms?
(i) 1 g Au (s)
(ii) 1 g Na (s)
(iii) 1 g Li (s)
(iv) 1 g of
Ans.
(i) 1 g Au (s)
=
=
= 3.06
(ii) 1 g Na (s)
=
=
= 0.262
= 26.2
(iii) 1 g Li (s)
=
=
= 0.86
= 86.0
(iv)1 g of
=
(Molar mass of
=
= 0.0848
= 8.48
Therefore, 1 g of Li (s) will have the largest no. of atoms.
Q29. Calculate the molarity of a solution of ethanol in water, in which the mole fraction of ethanol is 0.040 (assume the density of water to be one).
Ans.
Mole fraction of
=
0.040 =
No. of moles present in 1 L water:
Substituting the value of
0.96
Therefore, molarity of solution
=
= 2.314 M
Q30. What will be the mass of one ^{12}C atom in g?
Ans.
1 mole of carbon atoms
=
= 12 g of carbon
Therefore, mass of 1
=
=
Q31. How many significant figures should be present in the answer of the following calculations?
(i)
(ii) 5 × 5.365
(iii) 0.012 + 0.7864 + 0.0215
Ans.
(i)
Least precise no. of calculation = 0.112
Therefore, no. of significant numbers in the answer
= No. of significant numbers in the least precise no.
= 3
(ii) 5 × 5.365
Least precise no. of calculation = 5.365
Therefore, no. of significant numbers in the answer
= No. of significant numbers in 5.365
= 4
(iii) 0.012 + 0.7864 + 0.0215
As the least no. of decimal place in each term is 4, the no. of significant numbers in the answer is also 4.
Q32. Use the data given in the following table to calculate the molar mass of naturally occuring argon isotopes:
Isotope | Molar mass | Abundance |
35.96755 |
0.337 % | |
37.96272 |
0.063 % | |
39.9624 |
99.600 % |
Ans.
Molar mass of Argon:
= [
= [0.121 + 0.024 + 39.802]
= 39.947
Q33. Calculate the number of atoms in each of the following
(i) 52 moles of Ar
(ii) 52 u of He
(iii) 52 g of He
Ans.
(i) 52 moles of Ar
1 mole of Ar =
Therefore, 52 mol of Ar = 52 ×
=
(ii) 52 u of He
1 atom of He = 4 u of He
OR
4 u of He = 1 atom of He
1 u of He =
52 u of He =
= 13 atoms of He
(iii) 52 g of He
4 g of He =
52 g of He =
=
Q34. A welding fuel gas contains carbon and hydrogen only. Burning a small sample of itin oxygen gives 3.38 g carbon dioxide, 0.690 g of water and no other products. Avolume of 10.0 L (measured at STP) of this welding gas is found to weigh 11.6 g. Find:
(i) Empirical formula
(ii) Molar mass of the gas, and
(iii) Molecular formula
Ans.
(i) Empirical formula
1 mole of
Therefore, 3.38 g of
=
= 0.9217 g
18 g of water contains 2 g of hydrogen
Therefore, 0.690 g of water will contain hydrogen
=
= 0.0767 g
As hydrogen and carbon are the only elements of the compound. Now, the total mass is:
= 0.9217 g + 0.0767 g
= 0.9984 g
Therefore, % of C in the compound
=
= 92.32 %
% of H in the compound
=
= 7.68 %
Moles of C in the compound,
=
= 7.69
Moles of H in the compound,
=
= 7.68
Therefore, the ratio of carbon to hydrogen is,
7.69: 7.68
1: 1
Therefore, the empirical formula is CH.
(ii) Molar mass of the gas, and
Weight of 10 L of gas at STP = 11.6 g
Therefore, weight of 22.4 L of gas at STP
=
= 25.984 g
(iii) Molecular formula
Empirical formula mass:
CH = 12 + 1
= 13 g
n =
=
= 2
Therefore, molecular formula is
Q35. Calcium carbonate reacts with aqueous HCl to give CaCl2 and CO2 according to the reaction, CaCO3 (s) + 2 HCl (aq) → CaCl2(aq) + CO2 (g) + H2O(l)
What mass of CaCO3 is required to react completely with 25 mL of 0.75 M HCl?
Ans.
0.75 M of HCl
≡ 0.75 mol of HCl are present in 1 L of water
≡ [(0.75 mol) × (36.5 g mol–1 )] HCl is present in 1 L of water
≡ 27.375 g of HCl is present in 1 L of water
Thus, 1000 mL of solution contins 27.375 g of HCl
Therefore, amt of HCl present in 25 mL of solution
=
= 0.6844 g
Given chemical reaction,
2 mol of HCl (2 × 36.5 = 73 g) react with 1 mol of
Therefore, amt of
=
= 0.9375 g
Q36. Chlorine is prepared in the laboratory by treating manganese dioxide (MnO2) with aqueous hydrochloric acid according to the reaction:
4 HCl (aq) + MnO2(s) → 2H2O (l) + MnCl2(aq) + Cl2 (g)
How many grams of HCl react with 5.0 g of manganese dioxide?
Ans.
1 mol of
4 mol of HCl = 4 × 36.5 = 146 g
1 mol of
5 g of
=
= 8.4 g HCl
Therefore, 8.4 g of HCl will react with 5 g of
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