Chapter 1
Advanced Problems in Physical Chemistry for Competitive Examinations · 99 exercises
Problem 51
Molecular mass of dry air is (a) less than moist air (b) greater than moist air (c) equal to moist air (d) may be greater or less than moist air
3 step solution
Problem 52
A sample of iron oxide has \(\mathrm{FeO}\) and \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) in the mole ratio \(2: 1\). It is partially oxidized to change this ratio to \(1: 2\). The number of moles of \(\mathrm{FeO}\) oxidized per mole of initial mixture is (a) \(0.2\) (b) \(0.333\) (c) \(0.4\) (d) \(0.5\)
5 step solution
Problem 53
A gaseous mixture contains \(70 \% \mathrm{~N}\), and \(30 \%\) unknown gas, by volume. If the average molecular mass of gaseous mixture is \(37.60\), the molecular mass of unknown gas is (a) \(42.2\) (b) 60 (c) 40 (d) 50
4 step solution
Problem 54
An amount of 1 mole of calcium cyanamide and 1 mole of water are allowed to react. The number of moles of ammonia produced is (a) \(3.0\) (b) \(2.0\) (c) \(1.0\) (d) \(0.67\)
3 step solution
Problem 54
The mass composition of universe may be given as \(90 \% \mathrm{H}_{2}\) and \(10 \%\) He. The average molecular mass of universe should be (a) \(2.20\) (b) \(2.10\) (c) \(3.80\) (d) \(3.64\)
3 step solution
Problem 59
Cyclohexanol is dehydrated to cyclohexene on heating with conc. \(\mathrm{H}_{2} \mathrm{SO}_{4}\). If the yield of this reaction is \(75 \%\), how much cyclohexene will be obtained from \(100 \mathrm{~g}\) of cyclohexanol? (a) \(61.5 \mathrm{~g}\) (b) \(82 \mathrm{~g}\) (c) \(109.3 \mathrm{~g}\) (d) \(75 \mathrm{~g}\)
4 step solution
Problem 60
A sample of pure Cu \((4.00 \mathrm{~g})\) heated in a stream of oxygen for some time, gains in weight with the formation of black oxide of copper \((\mathrm{CuO})\). The final mass is 4.90 g. What per cent of copper remains unoxidized? \((\mathrm{Cu}=64)\) (a) \(90 \%\) (b) \(10 \%\) (c) \(20 \%\) (d) \(80 \%\)
6 step solution
Problem 61
If the yield of chloroform obtainable from acetone and bleaching powder is \(75 \%\), what mass of acetone is required for producing \(30 \mathrm{~g}\) of chloroform? (a) \(40 \mathrm{~g}\) (b) \(9.4 \mathrm{~g}\) (c) \(10.92 \mathrm{~g}\) (d) \(14.56 \mathrm{~g}\)
5 step solution
Problem 61
The commonly used pain reliever, aspirin, has the molecular formula \(\mathrm{C}_{2} \mathrm{H}_{8} \mathrm{O}_{4}\). If a sample of aspirin contains \(0.968 \mathrm{~g}\) of carbon, what is the mass of hydrogen in the sample? (a) \(0.717 \mathrm{~g}\) (b) \(0.0717 \mathrm{~g}\) (c) \(8.000 \mathrm{~g}\) (d) \(0.645 \mathrm{~g}\)
5 step solution
Problem 62
Pure \(\mathrm{FeS}_{2}\) is burnt with \(60 \%\) excess air. What is the percentage of \(\mathrm{N}_{2}\), by volume, in the gaseous mixture after the reaction? Air contains \(20 \% \mathrm{O}_{2}\) and \(80 \% \mathrm{~N}_{2}\), by volume. (a) \(81.94\) (b) \(82.8\) (c) \(8.2\) (d) \(89.3\)
14 step solution
Problem 62
For \(\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O}\), which is the correct mole relationship? (a) \(9 \times\) mole of \(\mathrm{Cu}=\) mole of \(\mathrm{O}\) (b) \(5 \times\) mole of \(\mathrm{Cu}=\) mole of \(\mathrm{O}\) (c) \(9 \times\) mole of \(\mathrm{Cu}=\) mole of \(\mathrm{O}_{2}\) (d) mole of \(\mathrm{Cu}=5 \times \mathrm{mole}\) of \(\mathrm{O}\)
3 step solution
Problem 64
A quantity of \(5 \mathrm{~g}\) of a crystalline salt when rendered anhydrous lost \(1.8 \mathrm{~g}\) of water. The formula mass of the anhydrous salt is 160 . The number of molecules of water of crystallization in the salt is (a) 3 (b) 5 (c) 2 (d) 1
5 step solution
Problem 65
Cortisone is a molecular substance containing 21 atoms of carbon per molecule. The mass percentage of carbon in cortisone is \(69.98 \%\). What is the molecular mass of cortisone? (a) \(180.05\) (b) \(360.1\) (c) \(312.8\) (d) \(205.8\)
4 step solution
Problem 66
A mixture is made equal volume of \(\mathrm{CO}\) and air. A spark passed through so that all the oxygen is converted to carbon dioxide. What will be fractional decrease in the total volume of system assuming pressure and temperature remain constant? Air contains \(20 \%\) oxygen by volume. (a) \(0.1\) (b) \(0.2\) (c) \(0.15\) (d) \(0.3\)
4 step solution
Problem 66
A polystyrene of formula \(\mathrm{Br}_{3} \mathrm{C}_{6} \mathrm{H}_{2}\left(\mathrm{C}_{8} \mathrm{H}_{8}\right)_{n}\) was prepared by heating styrene with tribromobenzyl peroxide in the absence of air. It was found to contain \(10.46 \%\) bromine, by mass. The value of \(n\) is \((\mathrm{Br}=80)\) (a) 20 (b) 21 (c) 19 (d) 22
5 step solution
Problem 68
The percentage of oxygen in a compound is \(4 \%\). Its minimum molecular mass will be (a) 100 (b) 400 (c) 200 (d) 32
4 step solution
Problem 69
In Dumas method, \(0.2 \mathrm{~g}\) of an organic nitrogenous compound gave \(28 \mathrm{ml}\) of \(\mathrm{N}_{2}\) (volume reduced to \(0^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\) ). What is the percentage of nitrogen, by mass, in the compound? (a) \(17.5\) (b) \(8.75\) (c) \(35.0\) (d) \(14.0\)
3 step solution
Problem 70
When \(V \mathrm{ml}\) of \(2.2 \mathrm{M}-\mathrm{H}_{2} \mathrm{SO}_{4}\) solution is mixed with \(10 \mathrm{~V} \mathrm{ml}\) of water, the volume contraction of \(2 \%\) takes place. The molarity of diluted solution is (a) \(0.2 \mathrm{M}\) (b) \(0.204 \mathrm{M}\) (c) \(0.196 \mathrm{M}\) (d) \(0.224 \mathrm{M}\)
5 step solution
Problem 70
A quantity of \(0.2 \mathrm{~g}\) of an organic compound containing, \(\mathrm{C}, \mathrm{H}\) and \(\mathrm{O}\), on combustion yielded \(0.147 \mathrm{~g} \mathrm{CO}_{2}\) and \(0.12 \mathrm{~g}\) water. The percentage of oxygen in it is (a) \(73.29 \%\) (b) \(78.45 \%\) (c) \(83.23 \%\) (d) \(89.50 \%\)
4 step solution
Problem 71
The empirical formula of an organic gaseous compound containing carbon and hydrogen is \(\mathrm{CH}_{2}\). The volume occupied by certain mass of this gas is exactly half of the volume occupied by the same mass of nitrogen gas under identical conditions. The molecular formula of the organic gas is (a) \(\mathrm{C}_{2} \mathrm{H}_{4}\) (b) \(\mathrm{CH}_{2}\) (c) \(\mathrm{C}_{6} \mathrm{H}_{12}\) (d) \(\mathrm{C}_{4} \mathrm{H}_{8}\)
5 step solution
Problem 72
Chlorofluorocarbons such as \(\mathrm{CCl}_{3} \mathrm{~F}\) \((\mathrm{M}=137.5)\) and \(\mathrm{CCl}_{2} \mathrm{~F}_{2}(\mathrm{M}=121)\) have been linked to ozone depletion in Antarctica. As of 2004 , these gases were found in 275 and 605 parts per trillion \(\left(10^{12}\right)\), by volume. What are the concentrations of these gases under conditions typical of Antarctica stratosphere \((200 \mathrm{~K}\) and \(0.08 \mathrm{~atm}) ?(R=0.081-\mathrm{atm} / \mathrm{K}-\mathrm{mol})\) (a) \(\left[\mathrm{CCl}_{3} \mathrm{~F}\right]=1.375 \times 10^{-12} \mathrm{~mol} \mathrm{1}^{-1}\), \(\left[\mathrm{CCl}_{2} \mathrm{~F}_{2}\right]=3.025 \times 10^{-12} \mathrm{~mol} 1^{-1}\) (b) \(\left[\mathrm{CCl}_{3} \mathrm{~F}\right]=2.75 \times 10^{-14} \mathrm{~mol} 1^{-1},\left[\mathrm{CCl}_{2} \mathrm{~F}_{2}\right]\) \(=6.05 \times 10^{-14} \mathrm{~mol} 1^{-1}\) (c) \(\left[\mathrm{CCl}_{3} \mathrm{~F}\right]=2.75 \times 10^{-10} \mathrm{~mol} 1^{-1},\left[\mathrm{CCl}_{2} \mathrm{~F}_{2}\right]\) \(=6.05 \times 10^{-10} \mathrm{~mol} 1^{-1}\) (d) \(\left[\mathrm{CCl}_{3} \mathrm{~F}\right]=1.375 \times 10^{-13} \mathrm{~mol} \mathrm{H}^{-1}\), \(\left[\mathrm{CCl}_{2} \mathrm{~F}_{2}\right]=3.025 \times 10^{-12} \mathrm{~mol} 1^{-1}\)
5 step solution
Problem 73
A compound having the empirical formula, \(\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{O}\), has a molecular weight of \(170 \pm 5\). The molecular formula of the compound is (a) \(\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{O}\) (b) \(\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{2}\) (c) \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{3}\) (d) \(\mathrm{C}_{9} \mathrm{H}_{12} \mathrm{O}_{3}\)
5 step solution
Problem 74
It was found from the chemical analysis of a gas that it has two hydrogen atoms for each carbon atom. At \(0^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\), its density is \(1.25 \mathrm{~g}\) per litre. The formula of the gas would be (a) \(\mathrm{CH}_{2}\) (b) \(\mathrm{C}_{2} \mathrm{H}_{4}\) (c) \(\mathrm{C}_{2} \mathrm{H}_{6}\) (d) \(\mathrm{C}_{4} \mathrm{H}_{8}\)
3 step solution
Problem 75
A quantity of \(500 \mathrm{~g}\) of a urea solution of mole fraction \(0.2\) is diluted to \(1500 \mathrm{~g}\). The mole fraction of solute in the diluted solution is (a) \(0.05\) (b) \(0.067\) (c) \(0.6\) (d) \(0.1\)
6 step solution
Problem 77
A volume of \(50 \mathrm{ml}\) of ' 20 vol' \(\mathrm{H}_{2} \mathrm{O}_{2}\) solution is mixed with \(50 \mathrm{ml}\) of ' 10 vol' \(\mathrm{H}_{2} \mathrm{O}_{2}\) solution. The volume strength of resulting solution is (assume neither expansion nor contraction in volume of solution, on mixing) (a) ' 30 vol' (b) '10 vol' (c) '15 vol' (d) \(22.5\) vol'
4 step solution
Problem 77
A compound contains elements \(\mathrm{X}\) and \(\mathrm{Y}\) in \(1: 4\) mass ratio. If the atomic masses of \(X\) and \(Y\) are in \(1: 2\) ratio, the empirical formula of compound should be (a) \(\mathrm{XY}_{2}\) (b) \(\mathrm{X}_{2} \mathrm{Y}\) (c) XY \(_{4}\) (d) \(\mathrm{X}_{4} \mathrm{Y}\)
5 step solution
Problem 78
A compound contains equal masses of the elements \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\). If the atomic masses of \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\) are 20,40 and 60 , respectively, the empirical formula of the compound is (a) \(\mathrm{A}_{3} \mathrm{~B}_{2} \mathrm{C}\) (b) \(\mathrm{AB}_{2} \mathrm{C}_{3}\) (c) \(\mathrm{ABC}\) (d) \(\mathrm{A}_{6} \mathrm{~B}_{3} \mathrm{C}_{2}\)
4 step solution
Problem 89
Samples of \(1.0 \mathrm{~g}\) of \(\mathrm{Al}\) are treated separately with an excess of sulphuric acid and an excess of sodium hydroxide. The ratio of the number of moles of the hydrogen gas evolved is (a) \(1: 1\) (b) \(3: 2\) (c) \(2: 1\) (d) \(9: 4\)
3 step solution
Problem 94
An ore contains \(2.296 \%\) of the mineral argentite, \(\mathrm{Ag}_{2} \mathrm{~S}\), by mass. How many grams of this ore would have to be processed in order to obtain \(1.00 \mathrm{~g}\) of pure solid silver? \((\mathrm{Ag}=108)\) (a) \(1.148 \mathrm{~g}\) (b) \(0.026 \mathrm{~g}\) (c) \(50 \mathrm{~g}\) (d) \(2.296 \mathrm{~g}\)
3 step solution
Problem 96
An amount of \(1.0 \times 10^{-3}\) moles of \(\mathrm{Ag}^{+}\) and \(1.0 \times 10^{-3}\) moles of \(\mathrm{CrO}_{4}^{2-}\) reacts together to form solid \(\mathrm{Ag}_{2} \mathrm{CrO}_{4}\). What is the amount of \(\mathrm{Ag}_{2} \mathrm{CrO}_{4}\) formed? \((\mathrm{Ag}=108, \mathrm{Cr}=52)\) (a) \(0.332 \mathrm{~g}\) (b) \(0.166 \mathrm{~g}\) (c) \(332 \mathrm{~g}\) (d) \(166 \mathrm{~g}\)
4 step solution
Problem 97
An amount of \(0.3 \mathrm{~mole}\) of \(\mathrm{SrCl}_{2}\) is mixed with \(0.2\) mole of \(\mathrm{K}_{3} \mathrm{PO}_{4}\). The maximum moles of \(\mathrm{KCl}\) which may form is (a) \(0.6\) (b) \(0.5\) (c) \(0.3\) (d) \(0.1\)
3 step solution
Problem 100
Hydrogen cyanide, HCN, is prepared from ammonia, air and natural gas \(\left(\mathrm{CH}_{4}\right)\) by the following process. \(2 \mathrm{NH}_{3}(\mathrm{~g})+3 \mathrm{O}_{2}(\mathrm{~g})+2 \mathrm{CH}_{4}(\mathrm{~g}) \stackrel{\mathrm{P}_{t}}{\longrightarrow}\) \(2 \mathrm{HCN}(\mathrm{g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})\) If a reaction vessel contains \(11.5 \mathrm{~g} \mathrm{NH}_{3}\), \(10.0 \mathrm{~g} \mathrm{O}_{2}\), and \(10.5 \mathrm{~g} \mathrm{CH}_{4}\), what is the maximum mass, in grams, of hydrogen cyanide that could be made, assuming the reaction goes to completion? (a) \(18.26 \mathrm{~g}\) (b) \(5.625 \mathrm{~g}\) (c) \(17.72 \mathrm{~g}\) (d) \(16.875 \mathrm{~g}\)
4 step solution
Problem 101
What mass of carbon disulphide, \(\mathrm{CS}_{2}\) can be completely oxidized to \(\mathrm{SO}_{2}\) and \(\mathrm{CO}_{2}\) by the oxygen liberated when \(325 \mathrm{~g}\) of \(\mathrm{Na}_{2} \mathrm{O}_{2}\) react with water? (a) \(316.67 \mathrm{~g}\) (b) \(52.78 \mathrm{~g}\) (c) \(633.33 \mathrm{~g}\) (d) \(211.11 \mathrm{~g}\)
6 step solution
Problem 106
A quantity of \(4.35 \mathrm{~g}\) of a sample of pyrolusite ore, when heated with conc. HCl, gave chlorine. The chlorine, when passed through potassium iodide solution, liberated \(6.35 \mathrm{~g}\) of iodine. The percentage of pure \(\mathrm{MnO}_{2}\) in the pyrolusite ore is \((\mathrm{Mn}=55, \mathrm{I}=127)\) (a) 40 (b) 50 (c) 60 (d) 70
6 step solution
Problem 108
A quantity of \(10 \mathrm{~g}\) of a piece of marble was put into excess of dilute \(\mathrm{HCl}\) acid. When the reaction was complete, \(1120 \mathrm{~cm}^{3}\) of \(\mathrm{CO}_{2}\) was obtained at \(0^{\circ} \mathrm{C}\) and 1 atm. The percentage of \(\mathrm{CaCO}_{3}\) in the marble is (a) \(5 \%\) (b) \(25 \%\) (c) \(50 \%\) (d) \(2.5 \%\)
5 step solution
Problem 111
Two successive reactions, \(\mathrm{A} \rightarrow \mathrm{B}\) and \(\mathrm{B} \rightarrow \mathrm{C}\), have yields of \(90 \%\) and \(80 \%\), respectively. What is the overall percentage yield for conversion of \(\mathrm{A}\) to \(\mathrm{C}\) ? (a) \(90 \%\) (b) \(80 \%\) (c) \(72 \%\) (d) \(85 \%\)
5 step solution
Problem 112
Iodobenzene is prepared from aniline \(\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{NH}_{2}\right)\) in a two-step process as shown here: \(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{NH}_{2}+\mathrm{HNO}_{2}+\mathrm{HCl} \longrightarrow\) \(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{~N}_{2}^{+} \mathrm{Cl}^{-}+2 \mathrm{H}_{2} \mathrm{O}\) \(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{~N}_{2}^{+} \mathrm{Cl}^{-}+\mathrm{KI} \rightarrow \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{I}+\mathrm{N}_{2}+\mathrm{KCl}\) In an actual preparation, \(9.30 \mathrm{~g}\) of aniline was converted to \(16.32 \mathrm{~g}\) of iodobenzene. The percentage yield of iodobenzene is \((\mathrm{I}=127)\) (a) 8\% (b) \(50 \%\) (c) \(75 \%\) (d) \(80 \%\)
5 step solution
Problem 125
The explosion of a mixture consisting of one volume of a gas being studied and one volume of \(\mathrm{H}_{2}\) yielded one volume water vapour and one volume of \(\mathrm{N}_{2}\). The formula of gas being studied, is (a) \(\mathrm{NO}\) (b) \(\mathrm{NO}_{2}\) (c) \(\mathrm{N}_{2} \mathrm{O}\) (d) \(\mathrm{N}_{2} \mathrm{O}_{3}\)
5 step solution
Problem 126
A gaseous alkane is exploded with oxygen. The volume of \(\mathrm{O}_{2}\), for complete combustion to the volume of \(\mathrm{CO}_{2}\) formed is in 7:4 ratio. The molecular formula of alkane is (a) \(\mathrm{CH}_{4}\) (b) \(\mathrm{C}_{3} \mathrm{H}_{8}\) (c) \(\mathrm{C}_{2} \mathrm{H}_{6}\) (d) \(\mathrm{C}_{4} \mathrm{H}_{10}\)
4 step solution
Problem 132
An aqueous solution of glucose is \(10 \%\) \((\mathrm{w} / \mathrm{v})\). The volume in which \(1 \mathrm{~mole}\) of glucose is dissolved, will be (a) 181 (b) 91 (c) \(0.91\) (d) \(1.81\)
4 step solution
Problem 135
How much \(\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}\), in \(\mathrm{mg}\), must be present in \(50 \mathrm{ml}\) of a solution with \(2.35\) ppm of Ca? (a) \(0.1175\) (b) \(770.8\) (c) \(4.7\) (d) \(0.48\)
5 step solution
Problem 136
The legal limit for human exposure to \(\mathrm{CO}\) in the work place is 35 ppm. Assuming that the density of air is \(1.3 \mathrm{~g} / 1\), how many grams of \(\mathrm{CO}\) are in \(1.0 \mathrm{l}\) of air at the maximum allowable concentration? (a) \(4.55 \times 10^{-5} \mathrm{~g}\) (b) \(3.5 \times 10^{-5} \mathrm{~g}\) (c) \(2.69 \times 10^{-5} \mathrm{~g}\) (d) \(7.2 \times 10^{-5} \mathrm{~g}\)
5 step solution
Problem 138
D5W refers to one of the solutions used as an intravenous fluid. It is a \(5 \%\) by mass solution of dextrose, \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\) in water. The density of \(\mathrm{D} 5 \mathrm{~W}\) is \(1.08 \mathrm{~g} / \mathrm{ml}\). The molarity of the solution is (a) \(0.3 \mathrm{M}\) (b) \(0.6 \mathrm{M}\) (c) \(0.28 \mathrm{M}\) (d) \(0.26 \mathrm{M}\)
4 step solution
Problem 139
How much \(\mathrm{BaCl}_{2}\) would be needed to make \(250 \mathrm{ml}\) of a solution having the same concentration of \(\mathrm{Cl}^{-}\) as one containing \(\begin{array}{llll}3.78 & \mathrm{~g} & \mathrm{NaCl} \text { per } 100 \mathrm{ml} \text { ? }\end{array}\) \((\mathrm{Ba}=137)\) (a) \(16.8 \mathrm{~g}\) (b) \(67.2 \mathrm{~g}\) (c) \(33.6 \mathrm{~g}\) (d) \(22.4 \mathrm{~g}\)
7 step solution
Problem 141
A volume of \(500 \mathrm{ml}\) of a \(0.1 \mathrm{M}\) solution of \(\mathrm{AgNO}_{3}\) added to \(500 \mathrm{ml}\) of \(0.1 \mathrm{M}\) solution of \(\mathrm{KCl}\). The concentration of nitrate ion in the resulting solution is (a) \(0.05 \mathrm{M}\) (b) \(0.1 \mathrm{M}\) (c) \(0.2 \mathrm{M}\) (d) Reduced to zero
4 step solution
Problem 142
In \(1200 \mathrm{~g}\) solution, \(12 \mathrm{~g}\) urea is present. If density of the solution is \(1.2 \mathrm{~g} / \mathrm{ml}\), then the molarity of the solution is (a) \(0.2 \mathrm{M}\) (b) \(10 \mathrm{M}\) (c) \(0.167 \mathrm{M}\) (d) \(12 \mathrm{M}\)
3 step solution
Problem 146
A quantity of \(10 \mathrm{~g}\) of acetic acid is dissolved in \(100 \mathrm{~g}\) of each of the following solvents. In which solvent, the mole fraction of solute is maximum? Assume no any dissociation or association of acetic acid in the solvent. (a) Water (b) Ethanol (c) Benzene (d) Same in all solvents
7 step solution
Problem 147
An aqueous solution has urea and glucose in mass ratio \(3: 1\). If the mass ratio of water and glucose in the solution is \(10: 1\), then the mole fraction of glucose in the solution is (a) \(\frac{1}{110}\) (b) \(\frac{9}{110}\) (c) \(\frac{3}{110}\) (d) \(\frac{100}{110}\)
6 step solution
Problem 149
What is the percentage of 'free \(\mathrm{SO}_{3}^{\prime}\) in a sample of oleum labelled as '104.5\%'? (a) \(20 \%\) (b) \(40 \%\) (c) \(60 \%\) (d) \(80 \%\)
6 step solution