Q.1. The number of significant figures in π are:
(a) One
(b) Two
(c) Three
(d) Infinite.
Ans. (d)
Solution.
Significant figures in π are infinite it is irrational number (22/7) there are infinite digit in π = 3.1428571432479 (more than trillion digits in π)
Q.2. Given the numbers 786, 0.786 and 0.0786. The number of significant figures for the three numbers is:
(a) 3, 4 and 5 respectively
(b) 3, 3 and 3 respectively
(c) 3, 3 and 4 respectively
(d) 3, 4 and 4 respectively
Ans. (b)
Solution.
If zero at the left hand side of non zero digit it is not a significant figures as
0.004321 = 4
0.00231 = 3
786 = 3 (s.f), 0.786 = 3 (s.f), 0.0786 = 3 (s.f)
Q.3. In which of the following numbers all zeros are significant?
(a) 0.0005
(b) 0.0500
(c) 50.000
(d) 0.0050
Ans. (c)
Solution.
(a) 0.0005 = no zero considered in significant number
(b) 0.0500 = only two zero considered in significant number
(c) 50.000 = all zero considered in significant number
(d) 0.0050 = only one zero consider in significant number
Q.4. 108 ÷ 7.2 = 14.583. The correct answer to this problem in proper number of significant digits is
(a) 15
(b) 14.58
(c) 14.5
(d) None of these
Ans. (a)
Solution.
In the multiplication & division significant figures are adjusted according to the least significant figure
Q.5. 14.90 + 0.0070 + 1.0 + 0.081 = 15.9880. The sum to proper number of significant digit is
(a) 15.9
(b) 16.0
(c) 15.99
(d) 16
Ans. (b)
Solution.
In the result of addition & subtraction least significant figures are adjusted after the decimal place.
3.21 ( 3. Significant figure – 2 decimal places)
14.90 + 0.0070 + 1.0 + 0.081 = 15.9880
Answer will be reported after decimal place one digit
15.9880 → Rounding off upto 3 digit
More than 5 ↑ so, previous digit increased by one
= 16.0
Q.6. Which is the larger quantity?
(a) Mega
(b) Femto
(c) Milli
(d) Giga
Ans. (d)
Solution.
Q.7. The scientific notation of 0.0000000540 is
(a) 5.40 × 10-7
(b) 5.40 × 10-8
(c) 54.0 × 10-7
(d) 54.0 × 10-9
Ans. (b)
Solution.
Scientific notation
= 0.0000000540 = 5.40 × 10-8
Rule: N = N is the number between 1.000 & 9.999
n = exponent
1472.92 → decimal shifter to L.H.S
Then n = 3 = (+ve)
1.47292 × 103
Decimal shifted R.H.S than 10y = y (−ve)
0.00762 = 7.62 × 10-4= 4 (−ve)
Q.8. 3g of a hydrocarbon on combustion with 11.2 g of oxygen produces 8.8g CO2 and 5.4g H2O. The data illustrates the law of
(a) Conservation of mass
(b) Multiple proportions
(c) Definite proportions
(d) Reciprocal proportions
Ans. (a)
Solution.
Law of conservation of mass (lavoise)
In a general chemical reaction total weight of reactant is equal to total weight if product
Total weight g reactant = 14.2 g
= Total weight of product = 14.2 g
Q.9. The gram mole of a gas at N.T. P. occupies 22.4 L. This fact was derived from
(a) Law of gaseous volumes
(b) Avogadro’s hypothesis
(c) Berzelius hypothesis
(d) Dalton’s atomic theory
Ans. (b)
Solution.
Avogadro’s hypothesis at similar condition of temperature & pressure equal volume of different gates contains equal number of males or molecules
N2 + 3H2 ⇌ 2NH3
Mole | 1 | 3 | 2 |
Molecule | 1 | 3 | 2 |
Volume | 1 | 3 | 2 |
Q.10. Among the following pairs of compound the one that illustrates the law of multiple proportion is
(a) NH3 and NF3
(b) CO2 and CS2
(c) CS2 and FeSO4
(d) SnCl2, SnCl4
Ans. (d)
Solution.
Sn + Cl2 → SnCl2 118 : 71
Sn + 2Cl2 → SnCl4 118 : 142
Ratio = 1:2
Q.11. The percentage of carbon and oxygen in samples of CO2 obtained by different methods were found to be the same. This illustrates the law of:
(a) Conservation of mass
(b) Constant proportions
(c) Multiple proportions
(d) Reciprocal proportions
Ans. (b)
Solution.
C + O2 → CO2 12: 32
Sn + 2Cl2 → CaO + CO2 12: 32
2NaHCO3 → Na2CO3 + CO2 +H2O 12 ∶ 32
Formation of a compound from different method / different source always contain same type of element in a fixed proportion by weight.
Q.12. One of the following combinations which illustrates the law of reciprocal proportions?
(a) N2O3. N2O4, N2O5
(b) NaCl, NaBr, NaI
(c) CS2, CO2, SO2
(d) MgO, Mg(OH)2
Ans. (c)
Solution.
Weight ratio = s/o = 32/32 + 1 : 1
Eq Ratio 8/8 = 1:1
The elements (S) & (O) combine separately with the third element (C) to form CS2 & CO2 they combine directly with each other to form SO2.
CS2/CO2 = SO2 weight ratio
12/72 x 32/12 = 32/32
= 1: 1 = 1:1
Equivalent ratio:
CS2/CO2 = SO2
8 : 8 = 8 : 8
1 : 1 = 1 : 1
⇒ 12/4 × 32/4
⇒ 3:8/3:8 = 1 : 1
S : O2
⇒ 32/4 = 8
8 : 8 ⇒ 1 : 1
Equivalent ratio & weight ratio both are same it follow equivalent proportion & reciprocal proportion
Q.13. Two elements X and Y combine in gaseous state to form XY in the ratio 1: 35 .5 by mass.
The mass of Y that will be required to react with 2g of X is
(a) 7.1 g
(b) 3.55 g
(c) 71 g
(d) 35.5 g
Ans. (c)
Solution.
To determine the mass of Y required to react with 2g of X, we need to consider the given ratio of X and Y in the formation of XY.
According to the given ratio, the mass of X is 1 unit, and the mass of Y is 35.5 units (1 + 35.5 = 36.5 units total).
Now, if 1 unit of X reacts with 35.5 units of Y to form XY, we can set up a proportion to find the mass of Y required to react with 2g of X.
1 unit of X / 35.5 units of Y = 2g of X / mass of Y
Cross-multiplying, we get:
1 * mass of Y = 35.5 * 2
mass of Y = (35.5 * 2) / 1mass of Y = 71 g
Therefore, the mass of Y required to react with 2g of X is 71 g.
Q.14. Calculate the number of gram atoms in 2.3 g of sodium.
(a) 23
(b) 10
(c) 2.24
(d) 0.1
Ans. (d)
Solution.
Gram atom or mole = 2.3/2.3 = 0.1
Q.15. Calculate the mass of 2.5 gram atoms of oxygen
(a) 40 g
(b) 80.0 g
(c) 8 g
(d) 11.2 g
Ans. (a)
Solution.
2.5 gram atoms = 2.5 mole of oxygen
1 mole (o) -- 16 gm
2.5 (o) -- 16 × 2.5
= 40 gm
Q.16. Calculate the mass of 1.5 gram molecule of sulphuric acid
(a) 151 g
(b) 129.0
(c) 147.0 g
(d) 200 gm
Ans. (c)
Solution.
1.5 gram molecule H2SO4= 1.5 mole of H2So4
1 mole of H2SO4 -- 98 g
1.5 mole -- 98 × 1.5
= 147 g
Q.17. 19.7 kg gold was recovered from a smuggler. The atoms of gold recovered are: (Au = 197)
(a) 100
(b) 6.02 × 1023
(c) 6.02 × 1024
(d) 6.02 × 1025
Ans. (d)
Solution.
mole = 19.7 Kg/197 = 197 × 100/197 = 100 mole
mole×NA = total no. of atom
= 100 × 6.023 × 1023
= 6.023 × 1025
Q.18. The molecular mass of CO2 is 44 amu and Avogadro’s number is 6.02 × 1023. Therefore, the mass of one molecule of CO2 is:
(a) 7.31 × 10-23
(b) 3.65 × 10-23
(c) 1.01 × 10-23
(d) 2.01 × 10-23
Ans. (a)
Solution.
NA molecules of Co2 = 44 gm
1 molecules = 44/6.023×10-23
= 7.31 × 10-23 gm
Q.19. What is the mass of 3.01 x 1022 molecules of ammonia?
(a) 1 kg.
(b) 0.85 g
(c) 2 gm
(d) 5 mg
Ans. (b)
Solution.
NA molecules of NH3 = 17 gm
3 × 1022 moles = 17 × 3 × 1022/6.023 × 1023
= 0.85 gm
Q.20. The largest number of molecules is in:
(a) 28 g of CO
(b) 46 g of C2H5OH
(c) 36 g of H2O
(d) 54 g of N2O5
Ans. (c)
Solution.
(1) 28/28 = 1 mole
(2) 46/46 = 1 mole
(3) 36/18 = 2 mole
(4) 54/108 = 0.5 mole
Q.21. The number of molecules in 89.6 litre of a gas at NTP are:
(a) 6.02 × 1023
(b) 2 × 6.02 × 1023
(c) 3 × 6.02 × 1023
(d) 4 × 6.02 × 1023
Ans. (d)
Solution.
89.6 litre of a gas ---------------?
⇒ 22.4 litre ------- NA molecules
⇒ 89.6 litre ------- 89.6 / 22.4
= 4 × 6.023 × 1023
Q.22. The density of a gaseous element is 5 times that of oxygen under similar conditions. If the molecule of the element is diatomic, what will be its atomic mass?
(a) 49.0
(b) 53.33
(c) 80
(d) 41.7
Ans. (b)
Solution.
CH4 = 6 + 4 = 10e- present
⇒ 1.6 / 16 = 0.1 mole
Total e- =mole × NA × Total no. of e-
= 0.1 × 6.023 × 1023 × 10
= 6 × 1023 electrons
Q.23. The gram atoms present in 5 gram of Calcium are
(a) 0.125
(b) 0.21
(c) 0.117
(d) 0.512
Ans. (b)
Solution.
PV = nRT
P.T constant
P = d/Mw × RT WA/V = d
⇒ d1/d2 = Mw1/Mw2 ⇒ d/5d = 16/Mw2
Mw2 = 16 × 580
Q.24. The gram atoms present in 5 gram of Calcium are
(a) 0.125
(b) 0.21
(c) 0.117
(d) 0.512
Ans. (a)
Solution.
Gram atoms = mole
Mole = 5/40 = 0.125
Q.25. Number of moles present in 100 Kg of lime stone is
(a) 104
(b) 103
(c) 105
(d) 106
Ans. (b)
Solution.
Mole = 100 × 1023gm = 103 mole
lime stone CaCo3 = Mw = 100 gm
Q.26. The number of molecules of CO2 in 4.4g of the gas at STP
(a) 6.02 × 1023
(b) 5.02 × 1023
(c) 6.02 × 1024
(d) 6.02 × 1022
Ans. (d)
Solution.
mole = 4.4/44 = 0.1 mole
1 mole pf Co2 = NA molecule
0.1 = ?
= 6.023 × 1023 × 0.3
= 6 × 1022molecules
Q.27. Weight of 6.02 ×1020 molecules of hydrogen is
(a) 0.002g
(b) 0.02g
(c) 2g
(d) 0.01g
Ans. (a)
Solution.
6.023 × 1023
Moleculares = 2 gm of H2
6 × 1020 = 6 × 1020/6.023 × 1023
Q.28. Which of the following pairs of gases contains the same number of molecules?
(a) 11 g of CO2 and 7 g of N2
(b) 44 g of CO2 and 14 g of N2
(c) 22 g of CO2 and 28 g of N2
(d) All the above pairs of gases
Ans. (a)
Solution.
(a) CO2 = 11/44=0.25 × NA molecule N2 = 7/28 = 1/4 = 0.2 × NA
(b) CO2 = 44/44 = 1 × NA, 14/28 = 0.5 × NA
(c) 22/44 = 0.5 × NA,or, 28/28 × NA = 1× NA
Q.29. 2.0 × 1022 atoms of an element weights 6 g. The atomic weight of the element is approximately
(a) 290
(b) 180
(c) 34.4
(d) 104
Ans. (b)
Solution.
2 × 1022 atoms ⟶ 6 g
6 × 1023 atom ----- 6 × 6 × 1023/2 × 1022
= 18 × 10
= 180 g
Q.30. A mixture of 2 mole of H2 and 1 mole of He occupies litres at NTP.
(a) 22.4
(b) 44.8
(c) 67.2
(d) 22400
Ans. (c)
Solution.
1 mole = 22.4 litre volume of any gas
2 + 1 = 44.8 + 22.4 volume
= 67.2 litre
Q.31. Which of the following will contain the same number of atoms as 20 gram of Calcium?
(a) 24 gram of Mg
(b) 12 gram of carbon
(c) 24 gram of carbon
(d) 12 gram of Mg
Ans. (d)
Solution.
20/40 = 0.5 mole
(a) 24/24 = 1 mole
(b) 12/12 = 1 mole
(c) 24/12 = 2 mole
Total no. of atoms mole × NA
= 0.5 × 6.023 × 1023
Q.32. Which of the following has the smallest number of molecules?
(a) 11.2 litre of SO2 gas at STP
(b) 1 mole of SO2 gas
(c) 1 × 1023 molecules of SO2 gas
(d) 3.2 gram of SO2 gas
Ans. (d)
Solution.
22.4 litre volume of any gas = 1 mole (stp)
(a) 11.2 litre = 0.5 mole
(b) So2 = 1 mole
(c) 6 × 1023 ----1 mole
1 × 1023 -----1023
= 1/6 mole
(d) 32/640 = 1/20 mole
Total molecular = mole × NA
=1/20 × 6.203 × 1023
Q.33. The weight of a single molecule of a substance is 8.5 × 10-23 gram. The molecular weight of the substance is
(a) 51.2
(b) 30.1
(c) 60 × 1023
(d) 14.5
Ans. (a)
Solution.
1 molecular = 8.5 × 10-23 gm
NA = ?
8.5 × 10-23 × 6.023 × 1023
= 51.2 gm
Q.34. The number of molecules present in 35.5 gram of chlorine is
(a) 3.0115 × 1015
(b) 3.0115 × 1023
(c) 2.0115 × 1023
(d) 6.023× 1023
Ans. (b)
Solution.
35.5/35.5 = 1 × NA total atom
= 1 × NA/2 total no. of molecules
= 3 × 1023
Q.35. 16 grams of a gas at STP occupies 11.2 litres. The molecular weight of the gas is
(a) 23
(b) 25
(c) 30
(d) 32
Ans. (d)
Solution.
22.4 litre of any gas occupied mole = 1 mole
11.2 litre =16 g
22.4 litre = 16 × 22.4/11.2 = 32g
Q.36. The total number of electrons present in 18 ml of water is
(a) 6.024 × 10-24
(b) 7.240 × 10-23
(c) 6.023 × 1024
(d) 6.023 × 1023
Ans. (c)
Solution.
Density of H2O = 1 gm/ml=1 kg/dm3
1 ml = 1 gm
Mole H2O = 18/18 = 1 mole
= 10e- = 1×10 × 6.033 × 1023
= 6 × 1024
Q.37. The ratio between the number of molecules in equal masses of nitrogen and oxygen is
(a) 7 : 8
(b) 1 : 9
(c) 9 : 1
(d) 8: 7
Ans. (d)
Solution.
⇒ 16 × NA/14 × NA = 8 ∶ 7
Q.38. Equal masses of oxygen, hydrogen and methane are kept under identical conditions.
The ratio of the volumes of the gases will be
(a) 2 : 16 : 2
(b) 2 : 16 : 1
(c) 1 : 16 : 2
(d) 1 : 1 : 1
Ans. (c)
Solution.
Equal massess
x/32 + x/2 + x/16
= (x + 16x + 2x)/32
= 1 : 16 : 2
⇒ mole ratio = volume ratio = molecular ratio
Q.39. 4.4 gram of CO2 and 2.24 litre of H2 at STP are mixed in a container. The total number of molecules present in the container will be
(a) 6.022 × 1023
(b) 1.2044 × 1023
(c) 2 moles
(d) 6.023 × 1024
Ans. (b)
Solution.
CO2 = 4.4/4.4 = 0.1 H2 = 2.24/22.4 = 0.1
= total number of moles = 0.2
= 0.2 × 6.023 × 1023
= 1.2 × 1023
Q.40. Out of the following the largest number of atoms are contained in
(a) 11 g of CO2
(b) 4g of H2
(c) 5 g of NH3
(d) 8 g of SO2
Ans. (b)
Solution.
(a) CO2 = 11/44 = 0.25 mole
(b) 4/2 = 2 mole
(c) 5/17 = 2 × NA largest no. of atoms
(d) 8/64 = 1/8
Q.41. The percentage of nitrogen in urea, (NH2CONH2) is:
(a) 38.4
(b) 46.6
(c) 59.1
(d) 61.3
Ans. (b)
Solution.
⇒ 60 gm urea = 28 gN
100 g 28 × 100/60 = 46.6%
Q.42. The empirical formula of a compound is CH2O, if vapour density is 90. Then the molecular formula is
(a) CH2O
(b) C2H4O2
(c) C3H6O3
(d) C6H12O6
Ans. (d)
Solution.
⇒ V. D × = mw
⇒ 90 × 2 = 180 gm
Empirical formula weight = 30 gm
Value of n = 180/30 = 6
C6H12O6
Q.43. An organic compound having carbon and hydrogen has 80% carbon. The empirical formula of the hydrocarbon is
(a) CH4
(b) CH3
(c) CH2
(d) CH
Ans. (b)
Solution.
C = 80%, h = 20%
%C = 80/12, %H = 20/1
= 6.66 = 20
= 6.66/6.66 = 20/6.66 = 3 {least Ratio}
1 : 3
C1H3 = CH3
Q.44. A compound contains 90% C and 10% H. The empirical formula of the compound is
(a) C8H10
(b) C15 H30
(c) C3H4
(d) C15H32
Ans. (c)
Solution.
%C = 90/12, %H = 10/1
= 7.5/7.5 = 10/7.5 = 1.33
= 1
C3H4
Q.45. An organic compound contains C = 50% and H = 9.25%. Its empirical formula is
(a) C3H6
(b) C3H7O2
(c) C2H4O
(d) C4H8O
Ans. (b)
Solution.
C% = 50/12 = 4.1666/2.546 = 1.636 × 2
%H = 9.25%/1 = 9.25/2.546 = 2.546/2.546 = 3.633 × 2
O% = 40.76/16 = 2.546/2.546 = 1 × 2
Ch3H7O2
Q.46. A metal M having an atomic weight of 197 yields a chloride containing 35.1% chlorine.
The empirical formula of the compound is
(a) MCl3
(b) MCl
(c) MCl2
(d) MCl4
Ans. (a)
Solution.
Eq. weight of metal chloride = % of metal/% chloride × 35.5 = 64.9/35.1 × 35.5 = 64.9
Eq = 197/VF
= 64.9 = 197/Vf = 197/64.9
VF = 3
M+3 Cl⊖
MCL3
Q.47. When 1 gram CaCO3 is dissolved in excess dilute acid the volume of CO2 evolved at STP will be
(a) One litre
(b) 224 ml
(c) 22.4 litre
(d) 2.24 litre
Ans. (b)
Solution.
CaCO3 ⟶ Cao + CO2
1 gm -------- 44 × 10-2 gm
44 g ----- 22.4 litres
44 × 10-2 g ------ = 0.224 litre = 224 ml
Q.48. 8 gram of sulphur is completely burnt in a large excess of oxygen, the volume in litres of SO2 formed as reduced to STP is
(a) 5.6
(b) 8.0
(c) 11.2
(d) 16.0
Ans. (a)
Solution.
S + O2 → SO2
32 g ------- 64 g = 1 mole = 22.4 liter
8g ----- 64 x 8/32 = 16 g
mole = 16/64 = 1/4 mole
5.6 litre value
Q.49. 0.01 mole of iodoform (CHI3) reacts with Ag powder to produce a gas whose volume at NTP is
(a) 224 ml
(b) 112 ml
(c) 336 ml
(d) 1120 ml
Ans. (b)
Solution.
2CHl3 + 6Ag ⟶ H − C ≡ C − H + 6 Agl
2 -------- 1 mole
10-2 --------- ?
10-2 × 1/2 = 0.5 × 10-2
= 5 × 10-3
∴ 1 mole ------ 22.4 literes
5 × 10-3 ------- 22.4 × 5 × 10-3
= 112 × 10-3
112 ml
Q.50. Molarity of liquid HCl with density equal to 1.17 g/ cc is
(a) 36.5
(b) 18.25
(c) 32.05
(d) 4.65
Ans. (c)
Solution.
d = M/v
1 cc = 1 ml
1000 ml = 1.17 × 1000 = 1170 g/36.5 = 32.05
Q.51. How many milliliters (mL) of 1 M H2SO4 solution are required to neutralize 10 mL of 1 M NaOH solution?
(a) 2.5 mL
(b) 5.0 mL
(c) 10.0 mL
(d) 20.0 mL
Ans. (b)
Solution.
Neutralization
Acid = Base (milliequivalent)
N1V1 = N2V2
⇒ 1 × V = 10 × 1 (N = m × VF)
V = 5ml
Q.52. The No. of moles of barium carbonate which contain 1.5 moles of oxygen atoms is
(a) 1.0 mole
(b) 1.5 mole
(c) 0.5 mole
(d) 2.0 mole
Ans. (c)
Solution.
Baco3 → 1 mole BaCo3
→ 1 mole Ba
→ 1 mole C
→ 3 mole (O)
3 mole oxygen - 1 mole BaCo3
1.5 mole oxygen - 1.5/3 = 0.5 mole BaC03
Q.53. A molecule of Haemoglobin contains 0.33% of iron by weight. The molecular weight of Haemoglobin is 67200. The number of iron atoms (At. wt. = 56) present in one molecule of Haemoglobin is
(a) 1
(b) 2
(c) 3
(d) 4
Ans. (d)
Solution.
Mass of Fe in 1 mole of Hb = ?
100 gm Hb – 0.33 gm Fe
1 mole(hb) = 67200g - 0.33 × 67200/100
= 221.76 gm
Mole of Fe = 221.76/56 = ≅ 3.9 ≅ 4
= 4NA atom of Fe
Na molecules of Hb – 4NA atom of Fe
1 mole - 4NA/NA
= 4 atoms of Fe
Q.54. 48 gram of Mg contains the same number of atoms as 160 gram of another element. The atomic mass of the element is
(a) 24
(b) 320
(c) 80
(d) 40
Ans. (c)
Solution.
mole of mg = 48/24 = 2 mole = 2 × NA
(A) = 160/2 = 80
Q.55. The number of moles of oxygen in one litre of air (21% oxygen by volume) at STP would be
(a) 0.186 mole
(b) 0.21 mole
(c) 2.10 mole
(d) 0.0093 mole
Ans. (d)
Solution.
In 100 ml air ---------- 21 ml oxygen
1000 ml air ----------- 21 × 1000/100 = 210 ml
22400 ml – 1 mole oxygen
210 ml - 210 × 1/22400 = 0.009375 mole oxygen
Q.56. What is correct for 10 g of CaCO3?
(a) It contains 1 g atom of carbon
(b) It contains 0.3 g atoms of oxygen
(c) It contains 12 g of calcium
(d) It refers to 0.1 g equivalent of CaCO3.
Ans. (b)
Solution.
10/100 = 0.1 mole CaCO3
1 mole CaCO3 →1 mole Ca
→1 mole C
→3 mole
∴ 0.1 mole CaCO3 → 0.1 Ca
→0.1C
→0.3(oxygen)
Q.57. If isotopic distribution of C-12 and C-14 is 98% and 2% respectively, then the number of C-14 atoms in 12 g of carbon is
(a) 1.032 × 1022
(b) 3.01 × 1022
(c) 5.88 × 1023
(d) 6.02 × 1023
Ans. (a)
Solution.
In 100 gram of carbon C-14 is=2 gram
12 gm = 2 × 12/100 = 0.24 gram
Mole of C-14 = 0.24/14 =o.017
Total no. of atoms C-14 = 0.017 × NA
= 0.0017 × 6.023 × 1023
= 0.102 × 1023
= 1.02 × 1022 atom
Q.58. The number of moles of water present in 100g of water of 90% purity is
(a) 3
(b) 18
(c) 5
(d) 5.5
Ans. (c)
Solution.
100% purity = 100/18 mole H2O
90% = 100 × 90/18 × 100
5 mole of H2O
Q.59. Which of the gases contains the same number of molecules as that of 16 grams of oxygen
(a) 16g of O3
(b) 32g of SO2
(c) 16g of SO2
(d) All
Ans. (b)
Solution.
16/16 = 1 mole NA atom = NA/2 = molecals
(a) 6/48 = 1/2 × NA
(b) 32/64 = 1/2
(c) 16/4 = 1/4
Q.60. The correct arrangement of the following in order of increasing mass is
(i) N2 molecule
(ii) oxygen atom
(iii) 1 Avogram
(iv) 1 × 10-10 gram atom of copper
(a) I > II > III > IV
(b) III < II < I < IV
(c) I > III > II > IV
(d) IV > I > II > III
Ans. (d)
Solution.
(a) N2 mole = 28 gm
(b) O atom = 16 gm
(c) 1/6 × 10 - 23 gm
(d) 63.5
1 mole of Cu = 63.5 gm
1 × 10-10 mol = 63.5 × 10-10 gm
Q.61. 0.5 mole of a gas (Mol. Wt. 80) occupies 11.2 litres at STP. The volume occupied by 0.25 mole of a lighter gas (Mol. Wt. 20) at STP will be
(a) 11.2 lit
(b) 5.6 lit
(c) 8 lit
(d) 22.4 litre
Ans. (b)
Solution.
0.5 mole - 11.2 litre
0.25 mole → 11.2 × 0.25/0.5 = 5.6 litre
Q.62. The molecular weight of an unknown substance is found to 24000. If it contains 0.2% Magnesium, then the number of Magnesium atoms that can be present in a molecule of it is
(a) 1
(b) 2
(c) 4
(d) 10
Ans. (b)
Solution.
100 gm-------2 gm Mg
2400--------2 × 2400/100 = 48 g
Mole of mg = 48/24 = 2 mole
Total atom of Mg = 2 × NA
NA molecules of unknown sub = 2NA
0.1 mole = 2 × NA/NA = 2
Q.63. The percentage of magnesium in chlorophyll is 2.68%. The number of magnesium atoms in 2 gram of chlorophyll is
(a) 1.34 × 1021
(b) 1.34 × 10–21
(c) 1.35 × 10–24
(d) 1.35 × 1024
Ans. (a)
Solution.
100 g – 2.68 g Mg
2g - 2.68 × 2/100 = weight of Mg
Mole= 2.68 × 2/100 × 24 = 0.2 × 10-2
Total atom of Mg = 0.22 × 10-2 × 6.023 × 1023
= 1.34 × 1021
Q.64. Ordinary water contains one part of heavy water per 6000 parts by weight. The number of heavy water molecules present in a drop of water of volume 0.01 ml is
(a) 2.5 × 1016
(b) 5 × 1017
(c) 5 × 1016
(d) 7.5 × 1016
Ans. (c)
Solution.
D2O = Mw = 20
Mole of D2O = 0.01/20 = 5 × 10-4 mole D2O
6000 parts ----5 × 10-4 mol D2O
1 part----- 5 × 10-4/6000 × NA
= 5 × 1016
Q.65. The number of molecules present in a drop of water. If its volume is 0.05 ml are
(a) 1.66 × 1021
(b) 1.60 × 1022
(c) 1.66 × 1023
(d) 1.60 × 1024
Ans. (a)
Solution.
H2O density = gm/ml =1 ml=1 gm
⇒ mole H2O = 0.05/18 × NA
= 0.05/18 × 6.023 × 1023
= 1.66 × 1021
Q.66. Which of the following will not have a mass of 10 g?
(a) 0.1 mol CaCO3
(b) 1.51 × 1023 Ca2+ ions
(c) 0.16 mol of Cl-ions
(d) 7.525 × 1022 Br atom.
Ans. (c)
Solution.
(a) CaCO3 = 0.1 mol = 10g
(b) NA Ca2+- 408 1.51 × 1023 - 1.51 × 1023/6 × 1023 = 1/4 × 40 = 10 g
(c) 1 mole Cl =35.5 0.16 = ? 0.16 × 35.5 = 5.68 gm × 2 ≅ 10
(d) 7.525 × Br atom
1 mole – 6.023× 1023
? --- 7.525 × 1022
⟹ 7.525 × 1022/6.2023× 1023 = 1.2 × 10-1
Q.67. x L of N2 at STP contains 3 × 1022 molecules. The number of molecules in x/2 L of ozone at STP will be
(a) 3 × 1022
(b) 1.5 × 1022
(c) 1.5 × 1021
(d) 1.5 × 1011
Ans. (b)
Solution.
xLN2 at stp → 3 x 1022 molecules
∴ volume occupied by gas at S.T.P doesn’t depend on nature of gas.
Q.68. 10 ml of a gaseous hydrocarbon combustion gives 40 ml of CO2 and 50 ml of H2O vapour under the same condition. The hydrocarbon is
(a) C4H6
(b) C6H10
(c) C4H8
(d) C4H10
Ans. (d)
Solution.
XHy + 02[x + y/4] C02 → + H2O
Volume of CO2 formed
10x = 40ml CO2
X = 4
X = c = 4
C4H10
volume of H2O
10 y/2 = 50ml H2O
y = 100/4 = 10
y = H = 1
OR
P.O.A.C method
P.O.A.C for carbon C atom
10x = 40
X = 4
C4H10
D.O.A.C for H atom
10y/2 = 50
y = 100/10
y = 10
Q.69. 15 ml hydrocarbon requires 45 ml of O2 for complete combustion and 30 ml of CO2 is formed. The formula of the hydrocarbon is
(a) C3H6
(b) C2H6
(c) C4H10
(d) C2H4
Ans. (d)
Solution.
CxHy + 02 → C02 + H2O
x + Y/4 x y
(1) volume of CO2 formed
15x = 30 ml of CO2
X = 2
(2) The volume of O2 required 15x + Y/4 = 45 ml of O2
⟹ 30+15Y/4 = 45
⟹ 120+15y/4 = 45
⟹ 120+15y = 180
⟹ 15y = 180-120
15 y = 60
Y = 60/15 = 4
C2H4
x = 2 y = 4
Q.70. Complete combustion of a sample of a hydrocarbon gives 0.66 2 grams of CO2 and 0.362 grams of H2O the formula of a compound is
(a) C3H8
(b) CH4
(c) C2H6
(d) C2H4
Ans. (a)
Solution.
hydrocarbon+ O2 → CO2 + H2O
Q.71. The simplest formula of a compound containing 50% of element x (atomic weight = 10) and 50% of element y (atomic weight = 20) is
(a) xy
(b) x2y
(c) xy2
(d) x2y3
Ans. (b)
Solution.
%x = 50/10
x = 5/2.5
x = 2
y% = 50/20
y = 2.5/2,5
y = 1
x2y
Q.72. The empirical formula of an organic compound is CH. 6.023 × 1022 molecules of same organic compound weigh 7.8 g. The molecular formula is
(a) C2H2
(b) C6H6
(c) C2H4
(d) None
Ans. (b)
Solution.
empirical formula weight = 12+1 = 13g
6 × 1022− 7.8g
6 × 1023 - ?
= 7.8 × 6 × 1023/6 × 1022
= 78 gm
n = 78/13 = 6
CnHn = C6H6
Q.73. An organic compound contains C = 21.56%, H = 4.56% and Br = 73.36%. Its molecular weight is 109. Its molecular formula is
(a) C2H5Br
(b) C3H7Br
(c) C4H8Br
(d) C6H6Br
Ans. (a)
Solution.
C% = 21.56/12 = 1.7/0.917 = 1.853 ≅ 2
H% = 4.56/1 = 4.56/0917 = 4.97 ≅ 5
Br = 73.36/80 = 0.917/0.917 = 1
n = log/log = n
e.f = m.f
= C2H5Br
Q.74. 0.078 gram of hydrocarbon occupies 22.4 ml volume at STP. The empirical formula of hydrocarbon is CH. The molecular formula of hydrocarbon is
(a) C5H5
(b) C6H6
(c) C2H2
(d) C8H8
Ans. (b)
Solution.
22.4 ml--- 0.078 gm hydrocarbon
= 78 g
n = 78/13 = 6 CH = 13
12+1
C6H6
Q.75. Empirical formula of a compound is CH2. The mass of one litre of this organic gas is exactly equal to that of one litre of nitrogen. Therefore the molecular formula of the organic gas is
(a) C3H8
(b) C2H6
(c) C2H4
(d) C3H6
Ans. (c)
Solution.
e.f = CH2 12 + 2 = 14
n= 28/14 = 2
C2H4
Q.76. When 1.2 g of carbon is completely burnt in 6 litres of oxygen at STP, the remaining volume of oxygen is
(a) 3.76 lit
(b) 2.6 lit
(c) 5.8 lit
(d) 37.6 lit
Ans. (a)
Solution.
C + 1/2 O2 → (Incomplete combustion)
1C → (1 mole oxygen)
0.1C → 0.1 × 1 = 0.1 mole of oxygen
⟹ 22.4 litre → 1 mole O2
1 C --------- 22.4 litre
0.1 ---------- 22.4 litre
6 − 2.24 = 3.76 liter
Q.77. 0.5 mole of H2SO4 is mixed with 0.2 mole of Ca (OH)2. The maximum number of moles of CaSO4 formed is
(a) 0.5
(b) 0.2
(c) 0.4
(d) 0.25
Ans. (b)
Solution.
H2SO4 + Ca(OH)2 → CaSO4 + 2H2O
d = 0 0.5 0.2 0
t = ? 0.5 - x 0.2 - x x
x = 0.2
LR
L.R = 0.5/1
L.R = 0.2/1 = 0.2 = x
nx = aa
1 × = 0.2 × 100/100
x = 0.2
Q.78. 70 gram of a sample of magnesite on treatment with excess of HCl gave 11.2 litre of CO2 at STP. The percentage purify of the sample is
(a) 80
(b) 70
(c) 60
(d) 50
Ans. (d)
Solution.
Magnetic MgCO3+ Fe]=140gm
Fe + MgCO3 → MgCl2 + H2CO3
↓
H2O = CO2
1 mole----------1CO2
1 CO2------------1 mol MgCO3
0.5--------------0.5 mol
70/140 × 100
% purity = 50%
Q.79. When 100 gram of ethylene polymerises to polythene according to the equation nCH2 = CH2 → (CH2 - CH2)n - the weight of polythene produced will be
(a) n/2 gram
(b) 100 gram
(c) 100/n gram
(d) 100n gram
Ans. (b)
Solution.
nCH2 = CH2 → (-CH2 - CH2 -)n
100g 100g
n28gm -------- nx28g
Q.80. Air contains 20% by volume of oxygen. The volume of air required for the complete combustion of one litre of methane under the same conditions is
(a) 2 litre
(b) 4 litre
(c) 10 litre
(d) 0.4 litre
Ans. (c)
Solution.
CH4 +202 → CO2 +2H2O
1 litre 2 litre
2 liter O2 → 1 litre CH4
20 litre ---- 20/2 = 10 litre CH4
Q.81. The hydrated Na2SO4nH2O undergoes 56% loss in weight on heating and become anhydrous. The value of n will be
(a) 5
(b) 3
(c) 7
(d) 10
Ans. (d)
Solution.
Na2SO4H2O → Na2SO4+ xH2O
142 + 18x = 56/100%
Lose in weigh due to H2O = 18x/142 + 18x = 56/100
⟹ 1800x = 142 × 56 + 18x × 56
⟹ 1800x = 7952 + 1000x
⟹ 792x = 795x
x = 10.004
x = 10
Q.82. 1.25 g of a solid dibasic acid is completely neutralized by 25 mL of 0.25 molar Ba (OH)2 solution . The molecular mass of the acid is
(a) 100
(b) 150
(c) 120
(d) 200
Ans. (d)
Solution.
Neutralisation rxn
Solid dibasic acid =
N1V1 = N2V2
1000 × w/e = N1V1
mw = 160 × 1.25
mw = 200
Q.83. 0.126 g of acid requires 20 ml of 0.1 N NaOH for complete neutralization. The equivalent mass of the acid is
(a) 45
(b) 53
(c) 40
(d) 63
Ans. (d)
Solution.
w/e × 1000 = 20 × 0.1
⟹ 0.126/E × 1000 = 2
E = 0.126 × 1000/2
E = 63
Q.84. The mole fraction of the solute in one mole aqueous solution is
(a) 0.009
(b) 0.018
(c) 0.027
(d) 0.036
Ans. (b)
Solution.
XA = 1/56.5 = 0.18
Q.85. How many grams of phosphoric acid would be needed to neutralize 100 g of magnesium hydroxide?
(a) 66.7 g
(b) 252 g
(c) 112 g
(d) 168 g
Ans. (c)
Solution.
⇒ w/E1 × 1000 = w2/E2 × 1000
⇒ 3x/98 = 200/58
⇒ x = 200 × 98 / 58 × 3 = 19600/174
= 112g
Q.86. Normality of solution of FeSO4. 7H2O containing 5.56 g / 200 mL which converts to ferric from in a reaction is (Fe = 56, s = 32, O = 16, H = 1)
(a) 1
(b) 0.1
(c) 0.01
(d) 10
Ans. (b)
Solution.
Molarity of FeSO47H2O
156 + 126 = 278g mw
Mole = 5.56/278g mol
200-----5.56/278
1000------------?
5.56 × 1000/278 × 200 × 10-2
= 20/200 = 0.1
Fe2+ → Fe3+ VF----1
N = MXVF
N = 0.1 × 1
N = 0.1N
Q.87. 100 g of a sample of HCl solution of relative density 1.17 contains 31.2 g of HCl. What volume of this HCl solution will be required to neutralize exactly 5 litres of N/20 KOH solution?
(a) 25 ml
(b) 29.2 ml
(c) 34.2 ml
(d) 250 ml
Ans. (a)
Solution.
D = m/v
1.74 × g/m =100/V
V = 100/1.17
V = 85.4m volume of solution
⟹ 85.4 - 31.2/36.5 = 0.84
1000ml -31.2 × 1000/36.5 × 85.4
M = 10m
N= m × VF
N=10N----1
Molarity of HCl solution = 10m
Normality = molarity × VF
= 10 ×1
= 10N
N1V1 = N2V2
⟹ 10 × Vlitre = 5/10
Vlitre = 5/100 = 0.025 litre
= 25 ml
Q.88. 300 ml of 1 M HCI and 100 ml of 1 M NaOH are mixed. The chloride ion concentration in the resulting solution is
(a) 1 M
(b) 0.5 M
(c) 0.75 M
(d) 0.25 M
Ans. (c)
Solution.
HCL ⇋ H+ + Cl-
0.3 0.3 0.3
NaOH ⇋ Na+ + OH
0.1 0.1 0.1
Cl- = 0.3/0.4 = 0.75M
Cl- = c0ncentration of Cl-1/total volume
Q.89. 200 ml of 1 M H2SO4, 300 ml 3 M HCI and 100 ml of 2 M HCI is mixed and made up to 1 litre. The proton concentration in the resulting solution is
(a) 1.25 M
(b) 1.5 M
(c) 2.5 M
(d) 0.75 M
Ans. (b)
Solution.
All are acids so it shows additive properties
H+ = (N1V1+N2V2+N3V3)/(V1+V2+V3)
400+900+200/1000 = 1500/1000 = 1.5
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