Chapter 1

A Complete Resource Book in Chemistry for JEE Main · 139 exercises

Problem 1

The number of significant figures for the numbers \(161 \mathrm{~cm}, 0.161 \mathrm{~cm}, 0.0161 \mathrm{~cm}\) are (a) 2,3 and 4 respectively (b) 3,3 and 3 respectively (c) 3,5 and 4 respectively (d) 3,4 and 4 respectively

3 step solution

Problem 2

What is the mass of \(0.5\) moles of \(\mathrm{O}_{3}\) molecules? (a) \(16 \mathrm{gm}\) (b) \(20 \mathrm{gm}\) (c) \(40 \mathrm{gm}\) (d) \(24 \mathrm{gm}\)

4 step solution

Problem 3

Which has maximum number of oxygen atoms? (a) \(1 \mathrm{gm}\) of \(\mathrm{O}\) (b) \(1 \mathrm{gm}\) of \(\mathrm{O}_{2}\) (c) \(1 \mathrm{gm}\) of \(\mathrm{O}_{3}\) (d) All have same no.of O-atoms

4 step solution

Problem 4

A mole of any substance is related to (a) number of particles (b) volume of gaseous substances (c) mass of a substance (d) all of these

5 step solution

Problem 5

What is the weight of oxygen required for the complete combustion of \(2.8 \mathrm{~kg}\) of ethylene? (a) \(9.6 \mathrm{~kg}\) (b) \(6.9 \mathrm{~kg}\) (c) \(96 \mathrm{~kg}\) (d) \(6.8 \mathrm{~kg}\)

5 step solution

Problem 6

The number of gram molecules of oxygen in \(6.02 \times\) \(10^{24} \mathrm{CO}\) molecules is (a) 1 gm molecules (b) 2 gm molecules (c) 5 gm molecules (d) 8 gm molecules

5 step solution

Problem 7

The number of oxygen atoms in \(4.4 \mathrm{~g}\) of \(\mathrm{CO}_{2}\) is (a) \(6 \times 10^{23}\) (b) \(11 \times 10^{23}\) (c) \(12 \times 10^{23}\) (d) \(1.2 \times 10^{23}\)

4 step solution

Problem 8

Boron has two stable isotopes, \(\mathrm{B}^{10}(19 \%)\) and \(\mathrm{B}^{11}\) (18\%) Find the average atomic weight of boron. (a) \(11.2\) (b) \(10.8\) (c) \(12.6\) (d) \(9.6\)

6 step solution

Problem 9

The number of moles of \(\mathrm{KCl}\) in \(1000 \mathrm{~mL}\) of 3 molar solution is (a) 2 (b) 3 (c) 4 (d) 6

3 step solution

Problem 11

The correct relationship between molecular mass and vapour density is (a) V.D. \(=2 \mathrm{M}\) (b) V.D. \(=\frac{\mathrm{M}}{2}\) (c) \(\mathrm{M}=(\mathrm{V} \cdot \mathrm{D} .)^{\frac{1}{2}}\) (d) \(\mathrm{VD}=\mathrm{M}^{2}\)

3 step solution

Problem 12

A bivalent metal has an equivalent mass of 32 , the molecular mass of metal nitrate is? (a) 168 (b) 182 (c) 184 (d) 188

4 step solution

Problem 13

How many moles of potassium chlorate should be decomposed completely to obtain \(67.2\) litres of oxygen at STP? (a) 1 (b) 2 (c) 3 (d) 4

4 step solution

Problem 15

The hydrated salt \(\mathrm{Na}_{2} \mathrm{CO}_{3} \cdot \mathrm{n} \mathrm{H}_{2} \mathrm{O}\) undergoes \(63 \%\) loss in mass on heating and becomes anhydrous. The value of \(n\) is (a) 4 (b) 6 (c) 8 (d) 10

6 step solution

Problem 16

The vapour density of a mixture having \(\mathrm{NO}_{2}\) and \(\mathrm{N}_{2} \mathrm{O}_{4}\) is \(27.6 .\) The mole fraction \(\mathrm{NO}_{2}\) in the mixture is (a) \(1.6\) (b) \(0.8\) (c) \(2.4\) (d) \(0.6\)

6 step solution

Problem 17

Among the following pairs of compounds, the one that illustrates the law of multiple proportions is (a) \(\mathrm{Cu}\) and \(\mathrm{CuSO}_{4}\) (b) \(\mathrm{CuO}\) and \(\mathrm{Cu}_{2} \mathrm{O}\) (c) \(\mathrm{H}_{2} \mathrm{~S}\) and \(\mathrm{SO}_{2}\) (d) \(\mathrm{NH}_{3}\) and \(\mathrm{NCl}_{3}\)

7 step solution

Problem 18

How many grams of \(\mathrm{KCl}\) must be added to \(75 \mathrm{~g}\) of water to produce a solution with a molality of \(2.25\) (a) \(1.257 \mathrm{~g}\) (b) \(125.7 \mathrm{~g}\) (c) \(12.57 \mathrm{~g}\) (d) \(25.14 \mathrm{~g}\)

5 step solution

Problem 19

Normality of \(0.04 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4}\) is (a) \(0.02 \mathrm{~N}\) (b) \(0.01 \mathrm{~N}\) (c) \(0.04 \mathrm{~N}\) (d) \(0.08 \mathrm{~N}\)

4 step solution

Problem 20

Which among the following is the heaviest? (a) one mole of oxygen (b) one molecule of sulphur trioxide (c) 100 amu of uranium (d) \(44 \mathrm{~g}\) of carbon dioxide

6 step solution

Problem 24

The molarity of pure water is (a) \(55.56 \mathrm{M}\) (b) \(5.56 \mathrm{M}\) (c) \(1.0 \mathrm{M}\) (d) \(0.01 \mathrm{M}\)

3 step solution

Problem 25

The number of grams of a dibasic acid (molecular weight 200 ) present is \(100 \mathrm{~mL}\) of its aqueous solution to give decinormal strength is (a) \(1 \mathrm{~g}\) (b) \(2 \mathrm{~g}\) (c) \(3 \mathrm{~g}\) (d) \(4 \mathrm{~g}\)

5 step solution

Problem 26

Normality of \(0.3 \mathrm{M} \mathrm{H}_{3} \mathrm{PO}_{4}\) solution is (a) \(0.1 \mathrm{~N}\) (b) \(0.45 \mathrm{~N}\) (c) \(0.6 \mathrm{~N}\) (d) \(0.9 \mathrm{~N}\)

4 step solution

Problem 29

7.5 gram of a gas occupies \(5.6\) litres as STP. The gas is (a) \(\mathrm{CO}\) (b) NO (c) \(\mathrm{CO}_{2}\) (d) \(\mathrm{N}_{2} \mathrm{O}\)

4 step solution

Problem 31

At STP the density of a gas (mol. wt = 45) in g/L is (a) \(11.2\) (b) 1000 (c) 2 (d) 224

5 step solution

Problem 33

How many moles of acidified \(\mathrm{FeSO}_{4}\) can be completely oxidized by one mole of \(\mathrm{KMnO}_{4}\) ? (a) 20 (b) 10 (c) 5 (d) \(0.5\)

3 step solution

Problem 34

A compound possess \(8 \%\) sulphur by mass. The least molecular mass is (a) 200 (b) 400 (c) 155 (d) 355

5 step solution

Problem 35

The vapour density of ozone is (a) 24 (b) 16 (c) 48 (d) 72

3 step solution

Problem 37

\(1000 \mathrm{~g}\) calcium carbonate solution contains \(10 \mathrm{~g}\) carbonate. The concentration of solution is (a) \(10 \mathrm{ppm}\) (b) \(100 \mathrm{ppm}\) (c) \(1000 \mathrm{ppm}\) (d) \(10,000 \mathrm{ppm}\)

4 step solution

Problem 38

One mole of \(\mathrm{CH}_{4}\) contains (a) \(4.0 \mathrm{~g}\) atoms of hydrogen (b) \(3.0 \mathrm{~g}\) atom of carbon (c) \(6.02 \times 10^{23}\) atoms of hydrogen (d) \(1.81 \times 10^{23}\) molecules of \(\mathrm{CH}_{4}\)

6 step solution

Problem 40

The maximum number of molecules is present in (a) \(15 \mathrm{~L}\) of \(\mathrm{H}_{2}\) gas at STP (b) \(5 \mathrm{~L}\) of \(\mathrm{N}_{2}\) gas at STP (c) \(1.5 \mathrm{~g}\) of \(\mathrm{H}_{2}\) gas (d) \(5 \mathrm{~g}\) of \(\mathrm{O}_{2}\) gas

6 step solution

Problem 42

The incorrect statement for \(14 \mathrm{~g}\) of \(\mathrm{CO}\) is (a) it occupies \(2.24\) litre at NTP (b) it corresponds to \(0.5 \mathrm{~mol}\) of \(\mathrm{CO}\) (c) it corresponds to same mol of \(\mathrm{CO}\) and \(\mathrm{N}_{2}\) (d) it corresponds to \(3.01 \times 10^{23}\) molecules of \(\mathrm{CO}\)

6 step solution

Problem 43

Area of nuclear cross section is measured in 'Barn'. It is equal to (a) \(10^{-28} \mathrm{~m}^{2}\) (b) \(10^{-18} \mathrm{~m}^{2}\) (c) \(10^{-8} \mathrm{~m}^{2}\) (d) \(10^{-34} \mathrm{~m}^{2}\)

4 step solution

Problem 44

Which of the following statement is correct? (a) 1 mole of electrons weighs \(5.4 \mathrm{mg}\) (b) 1 mole of electrons weighs \(5.4 \mathrm{~kg}\) (c) 1 mole of electrons weighs \(0.54 \mathrm{mg}\) (d) 1 mole of electrons has \(1.6 \times 10^{-19} \mathrm{C}\) of charge

7 step solution

Problem 45

Which of the following pairs of gases contain equal number of molecules? (a) \(\mathrm{CO}_{2}\) and \(\mathrm{NO}_{2}\) (b) \(\mathrm{CO}\) and \((\mathrm{CN})_{2}\) (c) \(\mathrm{NO}\) and \(\mathrm{CO}\) (d) \(\mathrm{N}_{2} \mathrm{O}\) and \(\mathrm{CO}_{2}\)

5 step solution

Problem 46

The samples of \(\mathrm{NaCl}\) are produced when Na combines separately with two isotopes of chlorine \(\mathrm{Cl}^{35}\) and \(\mathrm{Cl}^{57}\). Which law is illustrated? (a) Law of constant volume (b) Law of multiple proportions (c) Law of reciprocal proportions (d) None of these

4 step solution

Problem 47

Which of the following is the odd one with regard to mass? (a) \(1 \mathrm{~g}\) atom of sulphur (b) \(0.5\) moles of \(\mathrm{CO}_{2}\) (c) 1 mole of \(\mathrm{O}_{2}\) (d) \(3 \times 10^{23}\) molecules of \(\mathrm{SO}_{2}\)

3 step solution

Problem 48

A breakfast cereal in advertised to contain \(110 \mathrm{mg}\) of sodium per \(100 \mathrm{~g}\) of the cereal. The per cent of sodium in the cereal is (a) \(0.110 \%\) (b) \(0.0110 \%\) (c) \(11.0 \%\) (d) \(0.22 \%\)

4 step solution

Problem 50

The number of significant figures in \(306.45\) and 40440 are respectively (a) 4,5 (b) 5,5 (c) 5,4 (d) 4,6

4 step solution

Problem 51

The quantity of \(\frac{\mathrm{PV}}{\mathrm{K}_{\mathrm{B}} \mathrm{T}}\) represents the (a) molar mass of a gas (b) number of molecules in a gas (c) mass of gas (d) number of moles of a gas

4 step solution

Problem 52

Which is the correct order of micro, nano, femto and pico here? (a) micro \(<\) nano \(<\) pico \(<\) femto (b) pico \(<\) femto \(<\) nano \(<\) micro (c) femto \(<\) pico \(<\) nano \(<\) micro (d) femto \(<\) nano \(<\) micro \(<\) pico

3 step solution

Problem 54

15 litre atmosphere is equal to (a) \(1.515 \times 10^{8} \mathrm{erg}\) (b) \(15.15 \times 10^{9} \mathrm{erg}\) (c) \(1.515 \times 10^{10} \mathrm{erg}\) (d) \(15.15 \times 10^{12} \mathrm{erg}\)

5 step solution

Problem 56

Mixture \(\mathrm{X}=0.02 \mathrm{~mol}\) of \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{SO}_{4}\right] \mathrm{Br}\) and \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{Br}\right] \mathrm{SO}_{4}\) was prepared in 2 litre of solution. 1 litre of mixture \(\mathrm{X}+\mathrm{excess} \mathrm{AgNO}_{3} \longrightarrow \mathrm{Y}\) 1 litre of mixture \(\mathrm{X}+\) excess \(\mathrm{BaCl}_{2} \longrightarrow \mathrm{Z}\) Number of moles of \(Y\) and \(Z\) are (a) \(0.02,0.01\) (b) \(0.01,0.01\) (c) \(0.01,0.02\) (d) \(0.02,0.02\)

4 step solution

Problem 58

The amount of zinc required to produce \(224 \mathrm{~mL}\) of \(\mathrm{H}_{2}\) at STP on treatment with dilute \(\mathrm{H}_{2} \mathrm{SO}_{4}\) will be \((\mathrm{Zn}=65)\) (a) \(65.0 \mathrm{~g}\) (b) \(0.65 \mathrm{~g}\) (c) \(6.35 \mathrm{~g}\) (d) \(0.065 \mathrm{~g}\)

5 step solution

Problem 59

Ratio of \(\mathrm{C}_{\mathrm{p}}\) and \(\mathrm{C}_{\mathrm{v}}\) of a gas ' \(\mathrm{X}\) ' is \(1.4\). The number of atoms of the gas 'X' present in \(11.2\) litres of it at NTP will be (a) \(6.02 \times 10^{21}\) (b) \(60.2 \times 10^{23}\) (c) \(6.02 \times 10^{23}\) (d) \(1.02 \times 10^{23}\)

5 step solution

Problem 60

When \(18 \mathrm{~g}\) of glucose is dissolved in \(180 \mathrm{~g}\) of water then the mole fraction of glucose is (a) \(0.0099\) (b) \(0.0999\) (c) \(0.9999\) (d) \(0.9111\)

4 step solution

Problem 61

The weight of \(1 \times 10^{22}\) molecules of \(\mathrm{CuSO}_{4} \cdot 2 \mathrm{H}_{2} \mathrm{O}\) is (a) \(42.42 \mathrm{~g}\) (b) \(41.42 \mathrm{~g}\) (c) \(44.44 \mathrm{~g}\) (d) \(48.94 \mathrm{~g}\)

4 step solution

Problem 62

If \(\mathrm{N}_{\mathrm{A}}\) is Avogadro's number then number of valence electrons in \(4.2 \mathrm{~g}\) of nitride ions \(\left(\mathrm{N}^{3}\right)\) is (a) \(3.2 \mathrm{~N}_{\mathrm{A}}\) (b) \(1.6 \mathrm{~N}_{\mathrm{A}}\) (c) \(2.4 \mathrm{~N}_{\mathrm{A}}\) (d) \(1.2 \mathrm{~N}_{\mathrm{A}}\)

6 step solution

Problem 63

In the final answer of the expression $$ \frac{(29.2-20.2)\left(1.79 \times 10^{5}\right)}{1.37} $$ The number of significant figures is (a) 2 (b) 4 (c) 6 (d) 7

8 step solution

Problem 65

The number of moles of oxygen in one litre of air containing \(21 \%\) oxygen by volume, in standard conditions, is (a) \(0.176 \mathrm{~mol}\) (b) \(0.32 \mathrm{~mol}\) (c) \(0.0093 \mathrm{~mol}\) (d) \(2.20 \mathrm{~mol}\)

3 step solution

Problem 66

Number of atoms in \(4.25 \mathrm{~g}\) of \(\mathrm{NH}_{3}\) is approximately (a) \(6 \times 10^{23}\) (b) \(15 \times 10^{23}\) (c) \(1.5 \times 10^{23}\) (d) \(2.5 \times 10^{23}\)

4 step solution

Problem 68

The percentage weight of \(\mathrm{Zn}\) in white vitriol \(\left[\mathrm{ZnSO}_{4} \cdot 7 \mathrm{H}_{2} \mathrm{O}\right]\) is approximately equal to \((\mathrm{Zn}=65\), \(\mathrm{S}=32, \mathrm{O}=16\) and \(\mathrm{H}=1\) ) (a) \(21.56 \%\) (b) \(32.58 \%\) (c) \(22.65 \%\) (d) \(26.55 \%\)

4 step solution

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