IIT JEE 1982 Chemistry Question Paper with Answer and Solution

22 QuestionsEnglishWith Solutions

ChemistryQ122 of 22 questions

Page 1 of 1 · English

1
ChemistryEasyMCQIIT JEE · 1982
Who discovered the neutron?
A
James Chadwick
B
William Crookes
C
$J$.$J$. Thomson
D
Rutherford

Solution

(A) The neutron was discovered by $James \ Chadwick$ in $1932$. The reaction is represented as: $_4^9Be + _2^4He \rightarrow _6^{12}C + _0^1n$.
2
ChemistryMediumMCQIIT JEE · 1982
$CO$ has the same number of electrons as which of the following ions? Or,which ion is isoelectronic with $CO$?
A
$N_2^{+}$
B
$CN^{-}$
C
$O_2^{+}$
D
$O_2^{-}$

Solution

(B) $CO$ and $CN^{-}$ are isoelectronic species.
Total electrons in $CO = 6 + 8 = 14$.
Total electrons in $CN^{-} = 6 + 7 + 1 = 14$.
Since both have $14$ electrons,they are isoelectronic.
3
ChemistryMediumMCQIIT JEE · 1982
Carbon tetrachloride has no net dipole moment because of
A
Its planar structure
B
Its regular tetrahedral structure
C
Similar sizes of carbon and chlorine atoms
D
Similar electron affinities of carbon and chlorine

Solution

(B) $CCl_4$ has no net dipole moment because of its regular tetrahedral structure.
In a regular tetrahedral geometry,the four $C-Cl$ bond dipoles are oriented at an angle of $109.5^{\circ}$ to each other,which results in the cancellation of individual bond moments,leading to a net dipole moment of zero.
4
ChemistryEasyMCQIIT JEE · 1982
Which molecule is linear?
A
$NO_2$
B
$ClO_2$
C
$CO_2$
D
$H_2S$

Solution

(C) $CO_2$ has $sp$ hybridization and a linear geometry with a bond angle of $180^{\circ}$. The central carbon atom is bonded to two oxygen atoms with no lone pairs,resulting in a linear shape.
5
ChemistryEasyMCQIIT JEE · 1982
$A$ helium atom is two times heavier than a hydrogen molecule. At $298 \ K$,the average kinetic energy of helium is:
A
Two times that of a hydrogen molecule
B
Same as that of a hydrogen molecule
C
Four times that of a hydrogen molecule
D
Half that of a hydrogen molecule

Solution

(B) The average kinetic energy $(KE)$ of an ideal gas is given by the formula $KE = \frac{3}{2} k_B T$,where $k_B$ is the Boltzmann constant and $T$ is the absolute temperature.
Since the average kinetic energy depends only on the temperature $(T)$ and not on the mass of the gas particles,both helium $(He)$ and hydrogen $(H_2)$ will have the same average kinetic energy at the same temperature of $298 \ K$.
Therefore,the correct option is $B$.
6
ChemistryDifficultMCQIIT JEE · 1982
$A$ precipitate of $CaF_{2}$ $(K_{sp} = 1.7 \times 10^{-10})$ will be obtained when equal volumes of the following are mixed:
A
$10^{-4} \ M \ Ca^{2+}$ and $10^{-4} \ M \ F^{-}$
B
$10^{-2} \ M \ Ca^{2+}$ and $10^{-3} \ M \ F^{-}$
C
$10^{-5} \ M \ Ca^{2+}$ and $10^{-4} \ M \ F^{-}$
D
$10^{-3} \ M \ Ca^{2+}$ and $10^{-4} \ M \ F^{-}$

Solution

(B) precipitate forms when the ionic product $(Q_{sp})$ exceeds the solubility product $(K_{sp})$.
When equal volumes are mixed,the concentration of each ion is halved.
For option $B$:
$[Ca^{2+}]_{new} = \frac{10^{-2}}{2} = 5 \times 10^{-3} \ M$
$[F^{-}]_{new} = \frac{10^{-3}}{2} = 5 \times 10^{-4} \ M$
$Q_{sp} = [Ca^{2+}] [F^{-}]^2 = (5 \times 10^{-3}) \times (5 \times 10^{-4})^2 = 5 \times 10^{-3} \times 25 \times 10^{-8} = 1.25 \times 10^{-9}$.
Since $1.25 \times 10^{-9} > 1.7 \times 10^{-10}$,a precipitate will be obtained.
7
ChemistryEasyMCQIIT JEE · 1982
The oxidation number of carbon in $CH_2O$ is
A
$-2$
B
$+2$
C
$0$
D
$+4$

Solution

(C) Let the oxidation number of carbon be $x$.
In $CH_2O$,the oxidation number of hydrogen $(H)$ is $+1$ and oxygen $(O)$ is $-2$.
The sum of oxidation numbers in a neutral molecule is $0$.
$x + 2(+1) + (-2) = 0$
$x + 2 - 2 = 0$
$x = 0$
Therefore,the oxidation number of carbon is $0$.
8
ChemistryEasyMCQIIT JEE · 1982
Which element has the maximum first ionization potential?
A
$C$
B
$N$
C
$B$
D
$O$

Solution

(B) The electronic configurations of the given elements are:
$B (Z=5): 1s^2 2s^2 2p^1$
$C (Z=6): 1s^2 2s^2 2p^2$
$N (Z=7): 1s^2 2s^2 2p^3$
$O (Z=8): 1s^2 2s^2 2p^4$
Nitrogen $(N)$ has a stable half-filled $p$-orbital configuration $(2p^3)$,which requires more energy to remove an electron compared to the others.
Therefore,$N$ has the maximum first ionization potential.
9
ChemistryDifficultMCQIIT JEE · 1982
Maximum number of isomers of $C_4H_8$ are
A
$2$
B
$3$
C
$4$
D
$6$

Solution

(D) The molecular formula $C_4H_8$ has a degree of unsaturation of $1$. This indicates the presence of either one double bond or one ring.
The possible isomers are:
$1.$ $CH_2=CH-CH_2-CH_3$ ($1$-Butene)
$2.$ $cis-CH_3-CH=CH-CH_3$ (cis$-2-$Butene)
$3.$ $trans-CH_3-CH=CH-CH_3$ (trans$-2-$Butene)
$4.$ $CH_2=C(CH_3)_2$ ($2$-Methylpropene)
$5.$ Cyclobutane (four-membered ring)
$6.$ Methylcyclopropane (three-membered ring)
Thus,there are a total of $6$ isomers.
10
ChemistryMediumMCQIIT JEE · 1982
Which of the following compounds has the maximum boiling point?
A
$n-$hexane
B
$n-$pentane
C
$2,2-$dimethylpropane
D
$2-$methylbutane

Solution

(A) The boiling point of alkanes depends on the surface area of the molecule.
As the branching increases,the surface area decreases,which leads to weaker van der Waals forces of attraction.
$n-$hexane $(C_6H_{14})$ is a straight-chain alkane with the largest surface area among the given options,resulting in the strongest van der Waals forces.
Therefore,$n-$hexane has the highest boiling point.
11
ChemistryMCQIIT JEE · 1982
$A$ gas formed by the action of alcoholic $KOH$ on ethyl iodide,decolourises alkaline $KMnO_4$. The gas is
A
$C_2H_6$
B
$CH_4$
C
$C_2H_2$
D
$C_2H_4$

Solution

(D) The reaction of ethyl iodide $(C_2H_5I)$ with alcoholic $KOH$ is a dehydrohalogenation reaction,which produces ethene $(C_2H_4)$.
$C_2H_5I + alc. KOH \to C_2H_4 + KI + H_2O$
Ethene is an alkene,which decolourises alkaline $KMnO_4$ (Baeyer's reagent) due to the presence of a double bond.
12
ChemistryMediumMCQIIT JEE · 1982
$A$ gas formed by the action of alcoholic $KOH$ on ethyl iodide,decolorises alkaline $KMnO_4$ solution. The gas is
A
$CH_4$
B
$C_2H_6$
C
$C_2H_4$
D
$C_2H_2$

Solution

(C) When ethyl iodide $(CH_3-CH_2-I)$ reacts with alcoholic $KOH$,it undergoes dehydrohalogenation to form ethene $(C_2H_4)$.
Ethene is an unsaturated hydrocarbon that decolorizes alkaline $KMnO_4$ solution (Baeyer's reagent).
The reaction is: $CH_3-CH_2-I + KOH (\text{alc.}) \rightarrow CH_2=CH_2 + KI + H_2O$.
13
ChemistryMediumMCQIIT JEE · 1982
Amongst the following,the compound that can be most readily sulphonated is
A
Benzene
B
Nitrobenzene
C
Toluene
D
Chlorobenzene

Solution

(C) Sulphonation is an electrophilic aromatic substitution reaction.
The rate of reaction depends on the electron density of the benzene ring.
Electron-donating groups (like $-CH_3$ in Toluene) increase the electron density of the ring,making it more reactive towards electrophilic attack.
Electron-withdrawing groups (like $-NO_2$ in Nitrobenzene) decrease the electron density,making it less reactive.
Therefore,Toluene is the most reactive among the given compounds towards electrophilic sulphonation.
14
ChemistryMCQIIT JEE · 1982
If $A$ and $B$ are two events such that $P(A) \neq 0$ and $P(B) \neq 1$,then $P\left( \frac{\bar{A}}{\bar{B}} \right) = .....$
A
$1 - P\left( \frac{A}{B} \right)$
B
$1 - P\left( \frac{\bar{A}}{B} \right)$
C
$\frac{1 - P(A \cup B)}{P(\bar{B})}$
D
$\frac{P(\bar{A})}{P(\bar{B})}$

Solution

(C) By the definition of conditional probability,we have:
$P\left( \frac{\bar{A}}{\bar{B}} \right) = \frac{P(\bar{A} \cap \bar{B})}{P(\bar{B})}$
Using De Morgan's Law,we know that $\bar{A} \cap \bar{B} = \overline{A \cup B}$.
Therefore,$P(\bar{A} \cap \bar{B}) = P(\overline{A \cup B}) = 1 - P(A \cup B)$.
Substituting this into the formula,we get:
$P\left( \frac{\bar{A}}{\bar{B}} \right) = \frac{1 - P(A \cup B)}{P(\bar{B})}$.
15
ChemistryMCQIIT JEE · 1982
In the arrangement shown in the figure,the ends $P$ and $Q$ of an unstretchable string move downwards with a uniform speed $U$. Pulleys $A$ and $B$ are fixed. The mass $M$ moves upwards with a speed:
Question diagram
A
$2U \cos \theta$
B
$U \cos \theta$
C
$\frac{U}{\cos \theta}$
D
$\frac{2U}{\cos \theta}$

Solution

(C) Let the velocity of mass $M$ be $v$ in the upward direction.
Consider the segment of the string passing over pulley $A$. The velocity of the string along the segment connected to $M$ is $v$. The component of this velocity along the direction of the string towards pulley $A$ must be equal to the speed $U$ at which the end $P$ is pulled.
Therefore,$v \cos \theta = U$.
Solving for $v$,we get $v = \frac{U}{\cos \theta}$.
Thus,the mass $M$ moves upwards with a speed of $\frac{U}{\cos \theta}$.
Solution diagram
16
ChemistryMCQIIT JEE · 1982
The figure shows the volume $V$ versus temperature $T$ graphs for a certain mass of a perfect gas at two constant pressures of $P_1$ and $P_2$. What inference can you draw from the graphs?
Question diagram
A
$P_1 < P_2$
B
$P_1 > P_2$
C
$P_1 = P_2$
D
No inference can be drawn due to insufficient information.

Solution

(B) From the ideal gas equation,$PV = \mu RT$,we can write $\frac{V}{T} = \frac{\mu R}{P}$.
The slope of the $V-T$ graph is given by $\tan \theta = \frac{V}{T} = \frac{\mu R}{P}$.
Since $\theta_1 < \theta_2$,it follows that $\tan \theta_1 < \tan \theta_2$.
Substituting the expression for the slope,we get $\frac{\mu R}{P_1} < \frac{\mu R}{P_2}$.
This implies $\frac{1}{P_1} < \frac{1}{P_2}$,which further simplifies to $P_1 > P_2$.
17
ChemistryDifficultMCQIIT JEE · 1982
The ion that cannot be precipitated by both $HCl$ and $H_2S$ is
A
$Pb^{2+}$
B
$Cu^{+}$
C
$Ag^{+}$
D
$Sn^{2+}$

Solution

(B) In qualitative inorganic analysis,$Pb^{2+}$,$Ag^{+}$,and $Sn^{2+}$ are precipitated as chlorides in Group $I$ or $II$ analysis using $HCl$.
$Cu^{+}$ (cuprous ion) is generally unstable in aqueous solution and disproportionates into $Cu^{2+}$ and $Cu^0$.
However,among the given options,$Cu^{+}$ is not a standard cation encountered in the systematic group analysis scheme for precipitation by $HCl$ or $H_2S$ in the same manner as the others,as it is not stable in aqueous solution.
Therefore,$Cu^{+}$ is the ion that does not follow the standard precipitation behavior of the other listed ions.
18
ChemistryMediumMCQIIT JEE · 1982
Which of the following is not an ore?
A
Bauxite
B
Malachite
C
Zinc blende
D
Pig iron

Solution

(D) Pig iron is the most impure form of iron and contains the highest proportion of carbon $(2.5 - 4\%)$. It is a manufactured product,not a naturally occurring mineral or ore.
Malachite is an ore of copper with the formula $Cu(OH)_2 \cdot CuCO_3$.
Zinc blende is an ore of zinc with the formula $ZnS$.
Bauxite is an ore of aluminium with the formula $Al_2O_3 \cdot 2H_2O$.
19
ChemistryMediumMCQIIT JEE · 1982
In the manufacture of iron,limestone is added to the blast furnace. The calcium ion ends up in the form of:
A
Slag
B
Gangue
C
Calcium metal
D
$CaCO_3$

Solution

(A) In the blast furnace,limestone $(CaCO_3)$ decomposes to form calcium oxide $(CaO)$.
$CaCO_3 \to CaO + CO_2$
$CaO$ acts as a flux and reacts with the silica $(SiO_2)$ impurity (gangue) present in the iron ore to form calcium silicate $(CaSiO_3)$,which is known as slag.
$CaO + SiO_2 \to CaSiO_3$ (Slag)
20
ChemistryMediumMCQIIT JEE · 1982
Iron is rendered passive by the action of
A
Conc. $H_2SO_4$
B
Conc. $H_3PO_4$
C
Conc. $HCl$
D
Conc. $HNO_3$

Solution

(D) Iron becomes passive when treated with concentrated $HNO_3$ due to the formation of a thin,protective,and non-porous oxide film $(Fe_2O_3)$ on its surface.
This layer prevents further reaction of the metal with the acid.
Other oxidizing agents like $K_2Cr_2O_7$,$KMnO_4$,chloric acid,and chromic acid also render iron passive.
Passive iron can be made active again by scratching the surface mechanically or by chemical reduction.
21
ChemistryDifficultMCQIIT JEE · 1982
At low temperature,phenol reacts with $Br_2$ in $CS_2$ to form:
A
$m$-bromophenol
B
$o$- and $p$-bromophenol
C
$p$-bromophenol
D
$2, 4, 6$-tribromophenol

Solution

(B) When phenol reacts with $Br_2$ in a non-polar solvent like $CS_2$ at low temperature,the ionization of phenol is suppressed. The benzene ring is only slightly activated,leading to mono-substitution,which yields a mixture of $o$-bromophenol and $p$-bromophenol.
In contrast,when phenol reacts with $Br_2$ water,it ionizes to form the phenoxide ion. The negative charge on the oxygen atom strongly activates the benzene ring,resulting in the formation of $2, 4, 6$-tribromophenol.
22
ChemistryMediumMCQIIT JEE · 1982
When acetaldehyde is heated with Fehling solution,it gives a red precipitate of:
A
$Cu$
B
$CuO$
C
$Cu_2O$
D
$Cu(OH)_2$

Solution

(C) Acetaldehyde $(CH_3CHO)$ is an aliphatic aldehyde that reduces Fehling solution to a red precipitate of cuprous oxide $(Cu_2O)$.
The chemical reaction is:
$CH_3CHO + 2Cu^{2+} + 5OH^- \to CH_3COO^- + Cu_2O \text{ (Red ppt.)} + 3H_2O$

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