Page 1
2
1. (b) : Pressure ?
Force
Area
Therefore, dimensions of pressure ? ?
?
MLT
?2
L
2
= ML
–1
T
–2
Therefore, vapour density
?
Weight of certain volume of substance
Weight of same volume of hydrogen
0.24
and dimensions of energy per unit volume
?
Energy
?
ML
2
T
? 2
? ML
?1
T
?2
?
4.005 ?10
?3
? 59.93
Volume L
3
6. (c) : If 1 L of one gas contains N molecules, 2 L of any
2. (d) : Zeros placed left to the number are never
significant, therefore the no. of significant figures for the
numbers 161 cm , 0.161 cm and 0.0161 cm are sam e, i.e., 3.
3. (c) : According to Avogadro’s hypothesis, ratio of
the volumes of gases will be equal to the ratio of their no.
gas under the same conditions will contain 2N molecules.
7. (c) : C 2H 4 + 3O 2 ? 2CO 2 + 2H 2O
28 g 96 g
For complete combustion,
2.8 kg of C 2H 4 requires ?
96
? 2.8 ?10
3
g
of moles.
28
3
So, no. of moles =
Mass
= 9.6 × 10 g = 9.6 kg of O2
Mol. mass
8. (d) : Average isotopic mass of X
n
H
?
w
; n
O
?
w
; n
CH
?
w
?
200 ? 90 ?199 ? 8 ? 202 ? 2
2
2
2
32
4
16 90 ? 8 ? 2
So, the ratio is
w
:
w
:
w
or 16 :1: 2.
?
18000 ?1592 ? 404
? 199.96 amu ? 200 amu
2 32 16
4. (a) : C 3H 8 + 5O 2 3CO 2 + 4H 2O
1 vol. 5 vol. 3 vol. 4 vol.
100
9. (a) : Average atomicmass ??
19 ?10 ? 81 ?11
100
? 10.81
According to the above equation, 10. (d) : 1 mole of substance = NA atoms
1 vol. or 1 litre of propane requires 5 vol. or 5 litres of O 2
to burn completely.
5. (b) : Weight of gas = 0.24 g,
Volume of gas = 45 mL = 0.045 litre and density of
108 g of Ag = NA atoms ??
24 g of Mg = NA atoms ??
1g of Ag ?
N
A
atoms
108
1g of Mg ?
N
A
atoms
24
H 2 = 0.089 g/L 32 g of O 2 = NA molecules = 2 NA atoms
Weight of 45 mL of H 2 = density × volume
= 0.089 × 0.045 = 4.005 × 10
–3
g
? 1g of O ?
N
A
atoms
16
Hints & Explanations
Page 2
2
1. (b) : Pressure ?
Force
Area
Therefore, dimensions of pressure ? ?
?
MLT
?2
L
2
= ML
–1
T
–2
Therefore, vapour density
?
Weight of certain volume of substance
Weight of same volume of hydrogen
0.24
and dimensions of energy per unit volume
?
Energy
?
ML
2
T
? 2
? ML
?1
T
?2
?
4.005 ?10
?3
? 59.93
Volume L
3
6. (c) : If 1 L of one gas contains N molecules, 2 L of any
2. (d) : Zeros placed left to the number are never
significant, therefore the no. of significant figures for the
numbers 161 cm , 0.161 cm and 0.0161 cm are sam e, i.e., 3.
3. (c) : According to Avogadro’s hypothesis, ratio of
the volumes of gases will be equal to the ratio of their no.
gas under the same conditions will contain 2N molecules.
7. (c) : C 2H 4 + 3O 2 ? 2CO 2 + 2H 2O
28 g 96 g
For complete combustion,
2.8 kg of C 2H 4 requires ?
96
? 2.8 ?10
3
g
of moles.
28
3
So, no. of moles =
Mass
= 9.6 × 10 g = 9.6 kg of O2
Mol. mass
8. (d) : Average isotopic mass of X
n
H
?
w
; n
O
?
w
; n
CH
?
w
?
200 ? 90 ?199 ? 8 ? 202 ? 2
2
2
2
32
4
16 90 ? 8 ? 2
So, the ratio is
w
:
w
:
w
or 16 :1: 2.
?
18000 ?1592 ? 404
? 199.96 amu ? 200 amu
2 32 16
4. (a) : C 3H 8 + 5O 2 3CO 2 + 4H 2O
1 vol. 5 vol. 3 vol. 4 vol.
100
9. (a) : Average atomicmass ??
19 ?10 ? 81 ?11
100
? 10.81
According to the above equation, 10. (d) : 1 mole of substance = NA atoms
1 vol. or 1 litre of propane requires 5 vol. or 5 litres of O 2
to burn completely.
5. (b) : Weight of gas = 0.24 g,
Volume of gas = 45 mL = 0.045 litre and density of
108 g of Ag = NA atoms ??
24 g of Mg = NA atoms ??
1g of Ag ?
N
A
atoms
108
1g of Mg ?
N
A
atoms
24
H 2 = 0.089 g/L 32 g of O 2 = NA molecules = 2 NA atoms
Weight of 45 mL of H 2 = density × volume
= 0.089 × 0.045 = 4.005 × 10
–3
g
? 1g of O ?
N
A
atoms
16
Hints & Explanations
46
Mol. wt.
N
A
32
3
Some Basic Concepts of Chemistry
7 g of Li = NA atoms ??
1g of Li ?
N
A
atoms
7
5 L N 2
?
?
6.023 ?10
23
? 5
22.4
? 1.344 ?10
23
molecules
Therefore, 1 g of Li(s), has maximum number of atoms.
2 g H 2 = 6.023 × 10
23
molecules
11. (a) : (a) Mass of water = V × d = 18 × 1 = 18 g
Molecules of water = mole × NA ?
18
N
A
? N
A
0.5 g H2 ?
6.023 ?10
23
? 0.5
? 1.505 ?10
23
molecules
2
18
(b) Molecules of water = mole × NA ??
0.18
N
18
32 g O 2 = 6.023 × 10
23
molecules
6.023 ?10
23
?10
23
= 10
–2
NA
10 g of O 2 ? ?
32
? 1.882 ?10
molecules
(c) Moles of water ?
0.00224
? 10
?4
19. (b) : Number of molecules = moles × NA
22.4
–4
Molecules of N 2 =
7
NA = 0.5 NA
Molecules of water = mole × NA = 10 NA
14
(d) Molecules of water = mole × NA = 10
–3
NA
12. (a) : Let atomic weight of element X is x and that of
Molecules of H 2 = NA
element Y is y.
For XY , n ?
??w
Molecules of NO 2 =
16
NA = 0.35 NA
2
10
Mol. wt.
10
Molecules of O2
16
= 0.5 NA
0.1 ?
x ? 2 y
? x + 2y =
For X3 Y 2, n ?
??w
? 100
0.1
...(i)
? 2 g H 2 (1 mole H 2) contains maximum molecules.
20. (a) : Specific volume (vol. of 1 g) of cylindrical virus
particle = 6.02 × 10
–2
cc/g
0.05 ?
??9
3x ? 2 y
? 3x ? 2 y ?
9
? 180
0.05
...(ii)
Radius of virus, r = 7 Å = 7 × 10
–8
cm
Volume of virus = ?r
2
l
On solving equations (i) and (ii), we get x = 40
40 + 2y = 100 ? 2y = 60 ? y = 30
13. (a) : Mass of 1 mol (6.022 × 10
23
atoms) of carbon
= 12 g
If Avogadro number is changed to 6.022 × 10
20
atoms
then mass of 1 mol of carbon
?
22
? (7 ?10
?8
)
2
?10 ?10
?8
= 154 × 10
–23
cc
7
wt. of one virus particle ?
??Volume (cc)
Specific volume (cc/g)
?
154 ?10
?23
g
6.02 ?10
?2
?
12 ? 6.022 ?10
20
? 12 ?10
?3
g
? Molecular wt. of virus = wt. of N particles
6.022 ?10
23
A
?23
14. (c) : 1.8 gram of water ?
6.023 ?10
23
?1.8
18
= 6.023 × 10
22
molecules
18 gram of water = 6.023 × 10
23
molecules
18 moles of water = 18 × 6.023 × 10
23
molecules
15. (d) : Number of moles of H 2 = 1/2
?
154 ?10
? 6.02 ?10
23
g / m ol
6.02 ?10
?2
= 15400 g/mol = 15.4 kg/mol
21. (d) : 17 g of NH 3 = 4NA atoms
4.25 g of NH ?
4N
A
? 4.25 atoms
17
Number of moles of O2 ?
4
32
= NA atoms = 6 × 10
23
atoms
22. (a) : Quantity of iron in one molecule
Hence, molar ratio ?
1
:
4
? 4 : 1
=
67200
× 0.334 = 224.45 amu
16. (c) :
2 32
100
each.
8 g H 2 has 4 moles while the others has 1 mole
No. of iron atoms in one molecule of haemoglobin
17. (b) : No. of atoms = N A × No. of moles × 3
23 23
?
224.45
? 4
56
= 6.023 × 10 × 0.1 × 3 = 1.806 × 10
23. (a) : Volume of oxygen in one litre of air
18. (a) : At STP, 22.4 L = 6.023 × 10
23
molecules
?
21
?1000 ? 210 mL
15 L H
?
6.023 ?10
23
?15
? 4.033 ?10
23
molecules
100
210
2
22.4
Therefore, no. of moles =
22400
= 0.0093 mol
=
A
Page 3
2
1. (b) : Pressure ?
Force
Area
Therefore, dimensions of pressure ? ?
?
MLT
?2
L
2
= ML
–1
T
–2
Therefore, vapour density
?
Weight of certain volume of substance
Weight of same volume of hydrogen
0.24
and dimensions of energy per unit volume
?
Energy
?
ML
2
T
? 2
? ML
?1
T
?2
?
4.005 ?10
?3
? 59.93
Volume L
3
6. (c) : If 1 L of one gas contains N molecules, 2 L of any
2. (d) : Zeros placed left to the number are never
significant, therefore the no. of significant figures for the
numbers 161 cm , 0.161 cm and 0.0161 cm are sam e, i.e., 3.
3. (c) : According to Avogadro’s hypothesis, ratio of
the volumes of gases will be equal to the ratio of their no.
gas under the same conditions will contain 2N molecules.
7. (c) : C 2H 4 + 3O 2 ? 2CO 2 + 2H 2O
28 g 96 g
For complete combustion,
2.8 kg of C 2H 4 requires ?
96
? 2.8 ?10
3
g
of moles.
28
3
So, no. of moles =
Mass
= 9.6 × 10 g = 9.6 kg of O2
Mol. mass
8. (d) : Average isotopic mass of X
n
H
?
w
; n
O
?
w
; n
CH
?
w
?
200 ? 90 ?199 ? 8 ? 202 ? 2
2
2
2
32
4
16 90 ? 8 ? 2
So, the ratio is
w
:
w
:
w
or 16 :1: 2.
?
18000 ?1592 ? 404
? 199.96 amu ? 200 amu
2 32 16
4. (a) : C 3H 8 + 5O 2 3CO 2 + 4H 2O
1 vol. 5 vol. 3 vol. 4 vol.
100
9. (a) : Average atomicmass ??
19 ?10 ? 81 ?11
100
? 10.81
According to the above equation, 10. (d) : 1 mole of substance = NA atoms
1 vol. or 1 litre of propane requires 5 vol. or 5 litres of O 2
to burn completely.
5. (b) : Weight of gas = 0.24 g,
Volume of gas = 45 mL = 0.045 litre and density of
108 g of Ag = NA atoms ??
24 g of Mg = NA atoms ??
1g of Ag ?
N
A
atoms
108
1g of Mg ?
N
A
atoms
24
H 2 = 0.089 g/L 32 g of O 2 = NA molecules = 2 NA atoms
Weight of 45 mL of H 2 = density × volume
= 0.089 × 0.045 = 4.005 × 10
–3
g
? 1g of O ?
N
A
atoms
16
Hints & Explanations
46
Mol. wt.
N
A
32
3
Some Basic Concepts of Chemistry
7 g of Li = NA atoms ??
1g of Li ?
N
A
atoms
7
5 L N 2
?
?
6.023 ?10
23
? 5
22.4
? 1.344 ?10
23
molecules
Therefore, 1 g of Li(s), has maximum number of atoms.
2 g H 2 = 6.023 × 10
23
molecules
11. (a) : (a) Mass of water = V × d = 18 × 1 = 18 g
Molecules of water = mole × NA ?
18
N
A
? N
A
0.5 g H2 ?
6.023 ?10
23
? 0.5
? 1.505 ?10
23
molecules
2
18
(b) Molecules of water = mole × NA ??
0.18
N
18
32 g O 2 = 6.023 × 10
23
molecules
6.023 ?10
23
?10
23
= 10
–2
NA
10 g of O 2 ? ?
32
? 1.882 ?10
molecules
(c) Moles of water ?
0.00224
? 10
?4
19. (b) : Number of molecules = moles × NA
22.4
–4
Molecules of N 2 =
7
NA = 0.5 NA
Molecules of water = mole × NA = 10 NA
14
(d) Molecules of water = mole × NA = 10
–3
NA
12. (a) : Let atomic weight of element X is x and that of
Molecules of H 2 = NA
element Y is y.
For XY , n ?
??w
Molecules of NO 2 =
16
NA = 0.35 NA
2
10
Mol. wt.
10
Molecules of O2
16
= 0.5 NA
0.1 ?
x ? 2 y
? x + 2y =
For X3 Y 2, n ?
??w
? 100
0.1
...(i)
? 2 g H 2 (1 mole H 2) contains maximum molecules.
20. (a) : Specific volume (vol. of 1 g) of cylindrical virus
particle = 6.02 × 10
–2
cc/g
0.05 ?
??9
3x ? 2 y
? 3x ? 2 y ?
9
? 180
0.05
...(ii)
Radius of virus, r = 7 Å = 7 × 10
–8
cm
Volume of virus = ?r
2
l
On solving equations (i) and (ii), we get x = 40
40 + 2y = 100 ? 2y = 60 ? y = 30
13. (a) : Mass of 1 mol (6.022 × 10
23
atoms) of carbon
= 12 g
If Avogadro number is changed to 6.022 × 10
20
atoms
then mass of 1 mol of carbon
?
22
? (7 ?10
?8
)
2
?10 ?10
?8
= 154 × 10
–23
cc
7
wt. of one virus particle ?
??Volume (cc)
Specific volume (cc/g)
?
154 ?10
?23
g
6.02 ?10
?2
?
12 ? 6.022 ?10
20
? 12 ?10
?3
g
? Molecular wt. of virus = wt. of N particles
6.022 ?10
23
A
?23
14. (c) : 1.8 gram of water ?
6.023 ?10
23
?1.8
18
= 6.023 × 10
22
molecules
18 gram of water = 6.023 × 10
23
molecules
18 moles of water = 18 × 6.023 × 10
23
molecules
15. (d) : Number of moles of H 2 = 1/2
?
154 ?10
? 6.02 ?10
23
g / m ol
6.02 ?10
?2
= 15400 g/mol = 15.4 kg/mol
21. (d) : 17 g of NH 3 = 4NA atoms
4.25 g of NH ?
4N
A
? 4.25 atoms
17
Number of moles of O2 ?
4
32
= NA atoms = 6 × 10
23
atoms
22. (a) : Quantity of iron in one molecule
Hence, molar ratio ?
1
:
4
? 4 : 1
=
67200
× 0.334 = 224.45 amu
16. (c) :
2 32
100
each.
8 g H 2 has 4 moles while the others has 1 mole
No. of iron atoms in one molecule of haemoglobin
17. (b) : No. of atoms = N A × No. of moles × 3
23 23
?
224.45
? 4
56
= 6.023 × 10 × 0.1 × 3 = 1.806 × 10
23. (a) : Volume of oxygen in one litre of air
18. (a) : At STP, 22.4 L = 6.023 × 10
23
molecules
?
21
?1000 ? 210 mL
15 L H
?
6.023 ?10
23
?15
? 4.033 ?10
23
molecules
100
210
2
22.4
Therefore, no. of moles =
22400
= 0.0093 mol
=
A
3
A A
3
23 22
24. (c) : Each nitrogen atom has 5 valence electrons,
therefore total number of valence electrons in N
–
ion
78.4 g Se will be present in
100
? 78.4 ? 1.568 ? 10
4
is 16. Since the molecular mass of N
–
3
is 42, therefore
0.5
? Minimum molecular weight of enzyme is
total number of valence electrons in 4.2 g of N
–
ion 1.568 × 10
4
.
=
4.2
?16 ? N ? 1.6 N
42
31. (c) : Urea (NH 2 CONH 2), % of N ?
28
? 100 ? 46.66%
60
25. (b) : A vogadro’s no., N A = 6.02 × 10
23
molecules = 1 m ole
? 6.02 × 10
24
CO molecules = 10 moles CO
= 10 g atoms of O = 5 g molecules of O 2
26. (a) : Here, Cp/Cv = 1.4, which shows that the gas is
diatomic.
22.4 L at NTP = 6.02 × 10
23
molecules
? 11.2 L at NTP = 3.01 × 10
23
molecules
Since gas is diatomic,
? 11.2 L at NTP = 2 × 3.01 × 10
23
atoms
= 6.02 × 10
23
atom
27. (a) : 1 mol of CO 2 = 44 g of CO2
Similarly, % of N in other compounds are :
(NH 4 ) 2 SO 4 = 21.2%; CaCN 2 = 35.0% and NH 4 NO 3 = 35.0%
32. (d) : Haber’s process, N 2 + 3H 2 ? 2NH 3
2 moles of NH 3 are formed by 3 moles of H 2.
? 20 moles of NH 3 will be formed by 30 moles of H 2.
33. (c) : Density = 1.28 g/cc,
Conc. of solution = 2 M
Molar mass of NaOH = 40 g mol
–1
Volume of solution = 1 L = 1000 mL
Mass of solution = d × V = 1.28 × 1000 = 1280 g
Mass of solute = n × Molar mass = 2 × 40 = 80 g
? 4.4 g CO2 = 0.1 mol CO 2 = 6 × 10
22
molecules
23
Mass of solvent = (1280 – 80) g = 1200 g
80
[Since, 1 mole CO 2 = 6 × 10 molecules] Number of moles of solute =
40
= 2
= 2 × 6 × 10
22
atoms of O = 1.2 × 10
23
atoms of O
28. (d) : As we know,
? Molality =
2 ?1000
1200
? 1.67 m
22400 cc of N 2O contain 6.02 × 10
23
molecules 34. (c) : HCOOH
D
?
eh
?
yd
?
ra
?
tin
?
g a
?
ge
?
nt
?
CO + H O
? 1 cc of N 2O contain
6.02 ?10
23
22400
molecules
n
i
?
2.3
?
1
conc. H
2
SO
4
2
0 0
Since in N 2O molecule there are 3 atoms
? 1 cc N O ?
3 ? 6.02 ?10
atoms ?
1.8 ?10
atoms
46 20
nf = 0
H C O
?
c
?
on
?
c.
?
H
2
?
SO
?
4
?
?
1 1
20 20
2
22400 224
2 2 4
No. of electrons in a molecule of N 2O = 7 + 7 + 8 = 22
n
i
?
4.5
?
1
Hence, no. of electrons in 1 cc of N 2O
23
90 20
nf =0
?
6.02 ?10
? 22 electrons ?
1.32
?10
23
electrons
H 2O gets absorbed by conc. H2 SO 4. Gaseous mixture
22400
29. (c) :
224
(containing CO and CO 2) when passed through KOH
pellets, CO 2 gets absorbed.
Moles of CO left (unabsorbed) ?
1
?
1
?
1
20 20 10
Mass of CO = moles × molar mass ?
1
? 28 ? 2.8 g
35. (b) :
10
16.9% solution of AgNO 3 means 16.9 g of AgNO3
in 100 mL of solution.
= 8.45 g of AgNO 3 in 50 mL solution.
Similarly, 5.8 g of NaCl in 100 mL solution
? 2.9 g of NaCl in 50 mL solution.
The reaction can be represented as :
Hence, empirical formula of the compound would be
CH 3O.
Initial
mole
AgNO 3 + NaCl AgCl? + NaNO 3
8.45/170 2.9/58.5 0 0
= 0.049 = 0.049
30. (a) : In peroxidase anhydrous enzyme, 0.5% Se is
present means, 0.5 g Se is present in 100 g of enzyme. In a
molecule of enzyme one Se atom must be present. Hence,
Final moles 0 0 0.049 0.049
? Mass of AgCl precipitated = 0.049 × 143.3
= 7.02 ? 7 g
Element % Atomic
mass
Mole Simple
ratio
C 38.71 12
38.71
? 3.22
12
3.22
? 1
3.22
H 9.67 1
9.67
? 9.67
1
9.67
? 3
3.22
O 51.62 16
51.62
? 3.22
16
3.22
? 1
3.22
CO + CO 2 + H 2O
0 0 0
1 1 1
20 20 20
Page 4
2
1. (b) : Pressure ?
Force
Area
Therefore, dimensions of pressure ? ?
?
MLT
?2
L
2
= ML
–1
T
–2
Therefore, vapour density
?
Weight of certain volume of substance
Weight of same volume of hydrogen
0.24
and dimensions of energy per unit volume
?
Energy
?
ML
2
T
? 2
? ML
?1
T
?2
?
4.005 ?10
?3
? 59.93
Volume L
3
6. (c) : If 1 L of one gas contains N molecules, 2 L of any
2. (d) : Zeros placed left to the number are never
significant, therefore the no. of significant figures for the
numbers 161 cm , 0.161 cm and 0.0161 cm are sam e, i.e., 3.
3. (c) : According to Avogadro’s hypothesis, ratio of
the volumes of gases will be equal to the ratio of their no.
gas under the same conditions will contain 2N molecules.
7. (c) : C 2H 4 + 3O 2 ? 2CO 2 + 2H 2O
28 g 96 g
For complete combustion,
2.8 kg of C 2H 4 requires ?
96
? 2.8 ?10
3
g
of moles.
28
3
So, no. of moles =
Mass
= 9.6 × 10 g = 9.6 kg of O2
Mol. mass
8. (d) : Average isotopic mass of X
n
H
?
w
; n
O
?
w
; n
CH
?
w
?
200 ? 90 ?199 ? 8 ? 202 ? 2
2
2
2
32
4
16 90 ? 8 ? 2
So, the ratio is
w
:
w
:
w
or 16 :1: 2.
?
18000 ?1592 ? 404
? 199.96 amu ? 200 amu
2 32 16
4. (a) : C 3H 8 + 5O 2 3CO 2 + 4H 2O
1 vol. 5 vol. 3 vol. 4 vol.
100
9. (a) : Average atomicmass ??
19 ?10 ? 81 ?11
100
? 10.81
According to the above equation, 10. (d) : 1 mole of substance = NA atoms
1 vol. or 1 litre of propane requires 5 vol. or 5 litres of O 2
to burn completely.
5. (b) : Weight of gas = 0.24 g,
Volume of gas = 45 mL = 0.045 litre and density of
108 g of Ag = NA atoms ??
24 g of Mg = NA atoms ??
1g of Ag ?
N
A
atoms
108
1g of Mg ?
N
A
atoms
24
H 2 = 0.089 g/L 32 g of O 2 = NA molecules = 2 NA atoms
Weight of 45 mL of H 2 = density × volume
= 0.089 × 0.045 = 4.005 × 10
–3
g
? 1g of O ?
N
A
atoms
16
Hints & Explanations
46
Mol. wt.
N
A
32
3
Some Basic Concepts of Chemistry
7 g of Li = NA atoms ??
1g of Li ?
N
A
atoms
7
5 L N 2
?
?
6.023 ?10
23
? 5
22.4
? 1.344 ?10
23
molecules
Therefore, 1 g of Li(s), has maximum number of atoms.
2 g H 2 = 6.023 × 10
23
molecules
11. (a) : (a) Mass of water = V × d = 18 × 1 = 18 g
Molecules of water = mole × NA ?
18
N
A
? N
A
0.5 g H2 ?
6.023 ?10
23
? 0.5
? 1.505 ?10
23
molecules
2
18
(b) Molecules of water = mole × NA ??
0.18
N
18
32 g O 2 = 6.023 × 10
23
molecules
6.023 ?10
23
?10
23
= 10
–2
NA
10 g of O 2 ? ?
32
? 1.882 ?10
molecules
(c) Moles of water ?
0.00224
? 10
?4
19. (b) : Number of molecules = moles × NA
22.4
–4
Molecules of N 2 =
7
NA = 0.5 NA
Molecules of water = mole × NA = 10 NA
14
(d) Molecules of water = mole × NA = 10
–3
NA
12. (a) : Let atomic weight of element X is x and that of
Molecules of H 2 = NA
element Y is y.
For XY , n ?
??w
Molecules of NO 2 =
16
NA = 0.35 NA
2
10
Mol. wt.
10
Molecules of O2
16
= 0.5 NA
0.1 ?
x ? 2 y
? x + 2y =
For X3 Y 2, n ?
??w
? 100
0.1
...(i)
? 2 g H 2 (1 mole H 2) contains maximum molecules.
20. (a) : Specific volume (vol. of 1 g) of cylindrical virus
particle = 6.02 × 10
–2
cc/g
0.05 ?
??9
3x ? 2 y
? 3x ? 2 y ?
9
? 180
0.05
...(ii)
Radius of virus, r = 7 Å = 7 × 10
–8
cm
Volume of virus = ?r
2
l
On solving equations (i) and (ii), we get x = 40
40 + 2y = 100 ? 2y = 60 ? y = 30
13. (a) : Mass of 1 mol (6.022 × 10
23
atoms) of carbon
= 12 g
If Avogadro number is changed to 6.022 × 10
20
atoms
then mass of 1 mol of carbon
?
22
? (7 ?10
?8
)
2
?10 ?10
?8
= 154 × 10
–23
cc
7
wt. of one virus particle ?
??Volume (cc)
Specific volume (cc/g)
?
154 ?10
?23
g
6.02 ?10
?2
?
12 ? 6.022 ?10
20
? 12 ?10
?3
g
? Molecular wt. of virus = wt. of N particles
6.022 ?10
23
A
?23
14. (c) : 1.8 gram of water ?
6.023 ?10
23
?1.8
18
= 6.023 × 10
22
molecules
18 gram of water = 6.023 × 10
23
molecules
18 moles of water = 18 × 6.023 × 10
23
molecules
15. (d) : Number of moles of H 2 = 1/2
?
154 ?10
? 6.02 ?10
23
g / m ol
6.02 ?10
?2
= 15400 g/mol = 15.4 kg/mol
21. (d) : 17 g of NH 3 = 4NA atoms
4.25 g of NH ?
4N
A
? 4.25 atoms
17
Number of moles of O2 ?
4
32
= NA atoms = 6 × 10
23
atoms
22. (a) : Quantity of iron in one molecule
Hence, molar ratio ?
1
:
4
? 4 : 1
=
67200
× 0.334 = 224.45 amu
16. (c) :
2 32
100
each.
8 g H 2 has 4 moles while the others has 1 mole
No. of iron atoms in one molecule of haemoglobin
17. (b) : No. of atoms = N A × No. of moles × 3
23 23
?
224.45
? 4
56
= 6.023 × 10 × 0.1 × 3 = 1.806 × 10
23. (a) : Volume of oxygen in one litre of air
18. (a) : At STP, 22.4 L = 6.023 × 10
23
molecules
?
21
?1000 ? 210 mL
15 L H
?
6.023 ?10
23
?15
? 4.033 ?10
23
molecules
100
210
2
22.4
Therefore, no. of moles =
22400
= 0.0093 mol
=
A
3
A A
3
23 22
24. (c) : Each nitrogen atom has 5 valence electrons,
therefore total number of valence electrons in N
–
ion
78.4 g Se will be present in
100
? 78.4 ? 1.568 ? 10
4
is 16. Since the molecular mass of N
–
3
is 42, therefore
0.5
? Minimum molecular weight of enzyme is
total number of valence electrons in 4.2 g of N
–
ion 1.568 × 10
4
.
=
4.2
?16 ? N ? 1.6 N
42
31. (c) : Urea (NH 2 CONH 2), % of N ?
28
? 100 ? 46.66%
60
25. (b) : A vogadro’s no., N A = 6.02 × 10
23
molecules = 1 m ole
? 6.02 × 10
24
CO molecules = 10 moles CO
= 10 g atoms of O = 5 g molecules of O 2
26. (a) : Here, Cp/Cv = 1.4, which shows that the gas is
diatomic.
22.4 L at NTP = 6.02 × 10
23
molecules
? 11.2 L at NTP = 3.01 × 10
23
molecules
Since gas is diatomic,
? 11.2 L at NTP = 2 × 3.01 × 10
23
atoms
= 6.02 × 10
23
atom
27. (a) : 1 mol of CO 2 = 44 g of CO2
Similarly, % of N in other compounds are :
(NH 4 ) 2 SO 4 = 21.2%; CaCN 2 = 35.0% and NH 4 NO 3 = 35.0%
32. (d) : Haber’s process, N 2 + 3H 2 ? 2NH 3
2 moles of NH 3 are formed by 3 moles of H 2.
? 20 moles of NH 3 will be formed by 30 moles of H 2.
33. (c) : Density = 1.28 g/cc,
Conc. of solution = 2 M
Molar mass of NaOH = 40 g mol
–1
Volume of solution = 1 L = 1000 mL
Mass of solution = d × V = 1.28 × 1000 = 1280 g
Mass of solute = n × Molar mass = 2 × 40 = 80 g
? 4.4 g CO2 = 0.1 mol CO 2 = 6 × 10
22
molecules
23
Mass of solvent = (1280 – 80) g = 1200 g
80
[Since, 1 mole CO 2 = 6 × 10 molecules] Number of moles of solute =
40
= 2
= 2 × 6 × 10
22
atoms of O = 1.2 × 10
23
atoms of O
28. (d) : As we know,
? Molality =
2 ?1000
1200
? 1.67 m
22400 cc of N 2O contain 6.02 × 10
23
molecules 34. (c) : HCOOH
D
?
eh
?
yd
?
ra
?
tin
?
g a
?
ge
?
nt
?
CO + H O
? 1 cc of N 2O contain
6.02 ?10
23
22400
molecules
n
i
?
2.3
?
1
conc. H
2
SO
4
2
0 0
Since in N 2O molecule there are 3 atoms
? 1 cc N O ?
3 ? 6.02 ?10
atoms ?
1.8 ?10
atoms
46 20
nf = 0
H C O
?
c
?
on
?
c.
?
H
2
?
SO
?
4
?
?
1 1
20 20
2
22400 224
2 2 4
No. of electrons in a molecule of N 2O = 7 + 7 + 8 = 22
n
i
?
4.5
?
1
Hence, no. of electrons in 1 cc of N 2O
23
90 20
nf =0
?
6.02 ?10
? 22 electrons ?
1.32
?10
23
electrons
H 2O gets absorbed by conc. H2 SO 4. Gaseous mixture
22400
29. (c) :
224
(containing CO and CO 2) when passed through KOH
pellets, CO 2 gets absorbed.
Moles of CO left (unabsorbed) ?
1
?
1
?
1
20 20 10
Mass of CO = moles × molar mass ?
1
? 28 ? 2.8 g
35. (b) :
10
16.9% solution of AgNO 3 means 16.9 g of AgNO3
in 100 mL of solution.
= 8.45 g of AgNO 3 in 50 mL solution.
Similarly, 5.8 g of NaCl in 100 mL solution
? 2.9 g of NaCl in 50 mL solution.
The reaction can be represented as :
Hence, empirical formula of the compound would be
CH 3O.
Initial
mole
AgNO 3 + NaCl AgCl? + NaNO 3
8.45/170 2.9/58.5 0 0
= 0.049 = 0.049
30. (a) : In peroxidase anhydrous enzyme, 0.5% Se is
present means, 0.5 g Se is present in 100 g of enzyme. In a
molecule of enzyme one Se atom must be present. Hence,
Final moles 0 0 0.049 0.049
? Mass of AgCl precipitated = 0.049 × 143.3
= 7.02 ? 7 g
Element % Atomic
mass
Mole Simple
ratio
C 38.71 12
38.71
? 3.22
12
3.22
? 1
3.22
H 9.67 1
9.67
? 9.67
1
9.67
? 3
3.22
O 51.62 16
51.62
? 3.22
16
3.22
? 1
3.22
CO + CO 2 + H 2O
0 0 0
1 1 1
20 20 20
3
Some Basic Concepts of Chemistry
36. (c) : MgCO 3( s ) ?
?
??
MgO
(s)
+ CO
2(g) ? In this reaction, oxygen is the limiting reagent so
84 g 40 g
84 g of MgCO 3 ? 40 g of MgO
amount of H 2O produced depends on the amount of O 2.
Since 0.5 mol of O 2 gives 1 mol of H 2O
? 20 g of MgCO 3
?
40
? 20 = 9.52 g of MgO
84
? 2 mol of O 2 will give 4 mol of H 2O
43. (b) : PbO + 2HCl ? PbCl 2 + H 2O
Actual yield = 8 g of MgO
6.5
mol
3.2
mol
? % purity =
8
?100 = 84% 224 36.5
9.52
37. (a) : 1 mole ? 22.4 litres at STP.
= 0.029 mol = 0.087 mol
Formation of moles of lead(II) chloride depends upon
n
H
2
?
22.4
? 1 mol; n
22.4
?
11.2
? 0.5 mol
2
22.4
the no. of moles of PbO which acts as a limiting reagent
here. So, no. of moles of PbCl 2 formed will be equal to the
Reaction is as,
H
2(g)
+ Cl
2(g)
2HCl
(g)
Initial 1 mol 0.5 mol 0
Final (1 – 0.5) (0.5 – 0.5) 2 × 0.5
= 0.5 mol = 0 mol 1 mol
Here, Cl 2 is limiting reagent. So, 1 mole of HCl ( g ) is formed.
no. of moles of PbO i.e. 0.029.
44. (c) : 3C + 2Al 2O 3 4Al + 3CO 2
(From bauxite)
4 moles of Al is produced by 3 moles of C.
1 mole of Al is produced by
3
mole of C.
270 ? 1000
4
4
3
4
38. (a) : n
Mg
?
1
= 0.0416 moles
27
= 10 moles of Al is produced by × 10
4
n
O
2
??
0.56
32
24
= 0.0175 mole
moles of C.
Amount of carbon used =
3
× 10
4
× 12 g
4
The balanced equation is
2Mg + O 2 2MgO
Initial 0.0416 mole 0.0175 mole 0
=
3
4
45. (c) : Density = 1.17 g/cc.
× 10 × 12 kg = 90 kg
Final (0.0416 – 2 × 0.0175) 0 2 × 0.0175
= 0.0066 mole
? 1 cc. solution contains 1.17 g of HCl
1.17 ?1000
Here, O 2 is limiting reagent. ? Molarity =
36.5 ?1
= 32.05
? Mass of Mg left in excess = 0.0066 × 24 = 0.16 g
6.02 ?10
20
46. (b) : BaCO 3
197.3 g
? BaO + CO 2
39. (d) : Moles of urea ??
6.02 ?10
23
? 0.001
22.4 L at N.T.P.
9.85 g
22.4
× 9.85
Concentration of solution ?
0.001
? 1000 ? 0.01 M
100
40. (b) : Millimoles of solution of chloride
= 0.05 × 10 = 0.5
Millimoles of AgNO 3 solution = 10 × 0.1 = 1
So, the millimoles of AgNO 3 are double than the chloride
solution.
197.3
= 1.118 L
? 9.85 g of BaCO 3 will produce 1.118 L of CO 2 at
N.T.P. on the complete decomposition.
47. (a) : 4NH 3( g ) + 5O 2( g ) ? 4NO ( g ) + 6H 2O ( l )
4 moles 5 moles 4 moles 6 moles
? 1 mole of NH 3 requires = 5/4 = 1.25 mole of oxygen
? XCl 2 + 2AgNO 3 ? 2AgCl + X(NO 3) 2
41. (b) : Given that molar mass of Na 2CO 3 = 106 g
25.3 ? 1000
while 1 mole of O 2 requires =4/5 = 0.8 mole of NH 3.
Therefore, all oxygen will be consumed.
48. (c) : Zn + H 2SO 4 ? ZnSO 4 + H 2
? Molarity of solution ? ?
Na 2CO 3 ? 2Na
+
+ CO
2–
106 ? 250
= 0.955 M
65 g 22400 mL
Since 65 g of zinc reacts to liberate 22400 mL of H 2 at
STP, therefore amount of zinc needed to produce 224 mL
[Na
+
] = 2[Na 2CO 3] = 2 × 0.955 = 1.910 M
[CO
2–
] = [Na CO ] = 0.955 M
of H
2
at STP ?
65
? 224 ? 0.65 g
3 2 3 22400
42. (b) : H 2 + 1/2O 2 ? H 2O
2 g 16 g 18 g
49. (a) : Weight of 1 mol of CCl 4 vapour
= 12 + 4 × 35.5 = 154 g
1 mol 0.5 mol 1 mol
10 g of H 2 = 5 mol and 64 g of O 2 = 2 mol ? Density of CCl 4 vapour
??? ?
?
154
22.4
g L
? 1
= 6.875 g L
–1
Cl
Read More