This MCQ module is based on: NCERT Exercises and Solutions: Some Basic Concepts of Chemistry
NCERT Exercises and Solutions: Some Basic Concepts of Chemistry
This assessment will be based on: NCERT Exercises and Solutions: Some Basic Concepts of Chemistry
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NCERT Exercises and Solutions: Some Basic Concepts of Chemistry
Chapter Summary — Key Formulas & Ideas
Matter & Measurement
- Matter has mass and occupies space; three states — solid, liquid, gas.
- Pure substance = element + compound. Mixture = homogeneous + heterogeneous.
- SI base units: metre, kilogram, second, ampere, kelvin, mole, candela.
- Density \( \rho = m/V \); common unit g cm-3.
- Temperature: \( K = ^\circ C + 273.15;\ ^\circ F = (9/5)^\circ C + 32 \).
- Scientific notation: \( N \times 10^n,\ 1 \le N < 10 \).
Laws, Atoms & Moles
- Conservation of Mass; Definite Proportions; Multiple Proportions; Gay-Lussac; Avogadro.
- \(1\ \text{u} = 1.66056 \times 10^{-24}\) g; \( N_A = 6.022 \times 10^{23} \) mol-1.
- \(n = m/M; \quad N = n N_A; \quad V_{\text{STP}} = 22.4\ L\cdot n\).
- Atomic mass = Σ (abundance × isotope mass)/100.
Composition, Formula & Stoichiometry
- Mass % = (mass of element / M) × 100.
- Empirical formula → Molecular formula: \(MF = n\cdot EF,\ n = M_{\text{mol}}/M_{\text{emp}}\).
- Limiting reagent: smallest value of n/stoichiometric coefficient.
- \( M = n/V(\text{L});\ m = n/m_{\text{solvent(kg)}};\ x_A = n_A/(n_A+n_B);\ M_1V_1 = M_2V_2 \).
Key Terms & Keywords
NCERT Exercises — Step-by-Step Solutions
Use atomic masses: H = 1, C = 12, N = 14, O = 16, Na = 23, Mg = 24, S = 32, Cl = 35.5, K = 39, Ca = 40, Fe = 56, Cu = 63.5.
1Calculate the molar mass of (a) H2O (b) CO2 (c) CH4.
(a) M(H2O) = 2(1) + 16 = 18 g/mol.
(b) M(CO2) = 12 + 2(16) = 44 g/mol.
(c) M(CH4) = 12 + 4(1) = 16 g/mol.
2Calculate the mass per cent of each element in sodium sulphate (Na2SO4).
M(Na2SO4) = 2(23) + 32 + 4(16) = 46 + 32 + 64 = 142 g/mol.
Sum = 32.39 + 22.54 + 45.07 = 100.00 % ✓
3Determine the empirical formula of an oxide of iron which has 69.9 % iron and 30.1 % dioxygen by mass.
Per 100 g: Fe = 69.9 g, O = 30.1 g.
Moles: n(Fe) = 69.9/56 = 1.248; n(O) = 30.1/16 = 1.881.
Divide by smallest (1.248): Fe = 1; O = 1.881/1.248 = 1.507.
Multiply by 2 → Fe = 2, O = 3. Empirical formula = Fe2O3.
4Calculate the amount of carbon dioxide that could be produced when (i) 1 mole of carbon burns in air, (ii) 1 mole of carbon is burnt in 16 g of dioxygen, (iii) 2 moles of carbon burn in 16 g of dioxygen.
Reaction: C(s) + O2(g) → CO2(g) (1:1:1).
(i) O2 is unlimited (air excess). 1 mol C → 1 mol CO2 = 44 g.
(ii) 16 g O2 = 0.5 mol. Here O2 is limiting. 0.5 mol CO2 = 22 g.
(iii) 0.5 mol O2 vs 2 mol C. O2 limiting → 0.5 mol CO2 = 22 g.
5Calculate the mass of sodium acetate (CH3COONa) required to make 500 mL of 0.375 M aqueous solution. (M = 82 g/mol)
Answer: 15.375 g.
6Calculate the concentration of HNO3 in moles per litre in a sample which has a density of 1.41 g mL-1 and the mass per cent of nitric acid in it being 69 %.
Take 1 L of solution → mass = 1000 × 1.41 = 1410 g.
Mass of HNO3 = 69 % of 1410 = 972.9 g.
M(HNO3) = 1 + 14 + 3(16) = 63 g/mol.
Molarity = 15.44 mol L-1.
7How much copper can be obtained from 100 g of copper sulphate (CuSO4)?
M(CuSO4) = 63.5 + 32 + 4(16) = 159.5 g/mol.
Fraction of Cu = 63.5/159.5.
Answer: 39.81 g of Cu.
8Determine the molecular formula of an oxide of iron whose percentage composition is 69.9 % Fe and 30.1 % O, given its molecular mass is 159.69 g/mol.
From Q3, empirical formula = Fe2O3. Empirical mass = 2(56) + 3(16) = 112 + 48 = 160 ≈ 159.69.
n = 159.69/160 ≈ 1.
Molecular formula = Fe2O3.
9Calculate the atomic mass (average) of chlorine using the following data: 35Cl (abundance 75.77 %, mass 34.9689 u); 37Cl (abundance 24.23 %, mass 36.9659 u).
10In three moles of ethane (C2H6), calculate: (i) number of moles of carbon atoms, (ii) number of moles of hydrogen atoms, (iii) number of molecules of ethane.
(i) 1 mol C2H6 has 2 mol C → 3 mol × 2 = 6 mol of C atoms.
(ii) 3 mol × 6 = 18 mol of H atoms.
(iii) 3 × 6.022 × 1023 = 1.807 × 1024 molecules.
11What 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 2 L? (M = 342 g/mol)
12If 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? (M(CH3OH) = 32 g/mol)
Moles needed: n = 0.25 × 2.5 = 0.625 mol.
Mass: m = 0.625 × 32 = 20 g.
Density = 0.793 g mL-1 → Volume = 20/0.793 = 25.2 mL.
13Pressure is determined as force per unit area. What is the SI unit of pressure in terms of base units?
P = F/A = (kg·m·s-2)/m2 = kg m-1 s-2 (called the pascal, Pa).
14What is the SI unit of mass? How is it defined?
The SI unit of mass is the kilogram (kg). Since 2019, the kilogram is defined by fixing the numerical value of Planck's constant h = 6.62607015 × 10-34 J·s (equivalently kg·m2·s-1), together with the defined values of the metre and the second.
15Match the following prefixes with their multiples: micro, deca, mega, giga, femto.
| Prefix | Symbol | Multiple |
|---|---|---|
| femto | f | 10-15 |
| micro | µ | 10-6 |
| deca | da | 101 |
| mega | M | 106 |
| giga | G | 109 |
16What do you mean by significant figures? How many significant figures are there in (a) 0.0025 (b) 208 (c) 5005 (d) 126,000 (e) 500.0 (f) 2.0034?
Significant figures are meaningful digits in a number representing the precision of a measurement.
(a) 0.0025 → 2. (b) 208 → 3. (c) 5005 → 4. (d) 126,000 → ambiguous (3 to 6); best written in scientific notation. (e) 500.0 → 4. (f) 2.0034 → 5.
17Round each of the following to three significant figures: (a) 34.216 (b) 10.4107 (c) 0.04597 (d) 2808.
(a) 34.216 → 34.2. (b) 10.4107 → 10.4. (c) 0.04597 → 0.0460. (d) 2808 → 2810 (or 2.81 × 103).
18The following data are obtained when dinitrogen and dioxygen react: (1) 14 g N2 + 16 g O2 → 30 g NO; (2) 14 g N2 + 32 g O2 → 46 g NO2; (3) 28 g N2 + 32 g O2 → 60 g N2O; (4) 28 g N2 + 80 g O2 → 108 g N2O5. Which law of chemical combination is obeyed?
Fix 14 g of N2. Masses of O2 combining: 16 g (NO), 32 g (NO2), 16 g (N2O → /2 since 28 g), 40 g (N2O5 → /2).
Ratio of O2 masses = 16 : 32 : 16 : 40 = 2 : 4 : 2 : 5 — a simple whole-number ratio. This is the Law of Multiple Proportions.
19If the speed of light is 3.0 × 108 m/s, calculate the distance covered by light in 2.00 ns.
Time = 2.00 × 10-9 s.
20In a reaction A + B2 → AB2, identify the limiting reagent when (i) 300 atoms of A + 200 molecules of B2; (ii) 2 mol A + 3 mol B2; (iii) 100 atoms A + 100 molecules of B2; (iv) 5 mol A + 2.5 mol B2; (v) 2.5 mol A + 5 mol B2.
Stoichiometric ratio A : B2 = 1 : 1.
(i) 300 A : 200 B2 → B2 limiting.
(ii) 2 : 3 → A limiting.
(iii) 100 : 100 → stoichiometric, neither limiting.
(iv) 5 : 2.5 → B2 limiting.
(v) 2.5 : 5 → A limiting.
21Dinitrogen and dihydrogen react to form ammonia: N2(g) + 3H2(g) → 2NH3(g). (i) Calculate the mass of ammonia produced if 2.00 × 103 g of N2 reacts with 1.00 × 103 g of H2. (ii) Will any reactant be in excess? How much?
n(N2) = 2000/28 = 71.43 mol.
n(H2) = 1000/2 = 500 mol.
Ratio N2 : H2 required 1 : 3. Check H2/3 = 166.67; N2/1 = 71.43.
Smaller → N2 is limiting.
NH3 formed = 2 × 71.43 = 142.86 mol → mass = 142.86 × 17 = 2428.6 g ≈ 2.43 × 103 g.
H2 used = 3 × 71.43 = 214.29 mol → 428.57 g.
Excess H2 = 1000 − 428.57 = 571.43 g.
22How are 0.50 mol of Na2CO3 and 0.50 M of Na2CO3 different?
0.50 mol Na2CO3 = fixed amount = 0.50 × 106 = 53 g of Na2CO3 (independent of volume).
0.50 M Na2CO3 = concentration of 0.50 mol in every 1 L of solution. The actual amount depends on volume.
Example: 500 mL of 0.50 M contains only 0.25 mol = 26.5 g.
23If 10 volumes of dihydrogen gas react with 5 volumes of dioxygen gas, how many volumes of water vapour would be produced?
2H2(g) + O2(g) → 2H2O(g).
Volume ratio 2 : 1 : 2. 10 vol H2 : 5 vol O2 matches 2 : 1.
Water vapour produced = 10 volumes.
24Convert the following into basic units: (a) 28.7 pm (b) 15.15 pm (c) 25365 mg.
(a) 28.7 pm = 28.7 × 10-12 m = 2.87 × 10-11 m.
(b) 15.15 pm = 1.515 × 10-11 m.
(c) 25365 mg = 25.365 g = 2.5365 × 10-2 kg.
25A welding fuel gas contains carbon and hydrogen only. Burning a small sample completely gave 3.38 g CO2, 0.690 g H2O and no other products. A volume of 10.0 L (measured at STP) of this gas was found to weigh 11.6 g. Calculate (i) empirical formula, (ii) molar mass, (iii) molecular formula.
Find masses of C and H in the sample.
Mass of C = (12/44) × 3.38 = 0.922 g.
Mass of H = (2/18) × 0.690 = 0.0767 g.
Moles: n(C) = 0.922/12 = 0.0768; n(H) = 0.0767/1 = 0.0767.
Ratio C : H = 1 : 1. Empirical formula = CH (emp. mass = 13).
Molar mass: at STP, 22.4 L of gas weighs M grams. So 10.0 L weighs 11.6 g → 22.4 L weighs 11.6 × (22.4/10.0) = 25.98 ≈ 26 g/mol.
n = 26/13 = 2 → Molecular formula = C2H2 (acetylene/ethyne).