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Chemistry Test - 7

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Chemistry Test - 7
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  • Question 1
    1 / -0

    Consider the following compounds.

    Which of the following statements is/are correct?

    a. 1 is more basic than 2.

    b. 2 is more basic than 1 and 3.

    c. 3 is more basic than 2.

    d. 1 is weakly acidic.

    Solution

    Due to delocalisation of electrons of the N-atom over benzene ring in aniline (3) and involvement of these electrons in aromatic sextet formation in pyrrole (1), both these amines are weaker bases than pyridine (2), in which such a delocalisation does not exist since the lone pair of electrons is present in an sp2 orbital, which lies in the plane of the ring.
    Hence, 2 is more basic than 1 and 3. Further, 1 (pyrrole) is also weakly acidic at the N-H position, with a pKa of 17.5.

    Hence option B is the correct answer.

  • Question 2
    1 / -0

    The hybridisation of nitrogen I and that of nitrogen II in the following compound are:

    Solution
    The hybridisation of nitrogen I is sp2 as one unhybridized p-orbital is participating in the π-bonding.
    In nitrogen II also the hybridisation is sp2 and lone pair of electrons is in conjugation with the π-electrons as it occupies an unhybridized orbital.

    Thus, both have sp2 hybridisation.
    Hence option B is the correct answer.
  • Question 3
    1 / -0
    Using the Gibbs change, \(\Delta \mathrm{G}^{\circ}=+63.3 \mathrm{kJ}\), for the following reaction, the \(\mathrm{K}_{\mathrm{sp}}\) of
    \(\mathrm{Ag}_{2} \mathrm{CO}_{3}(\mathrm{s})\) in water at \(25^{\circ} \mathrm{C}\) is :
    \(\mathrm{Ag}_{2} \mathrm{CO}_{3}(\mathrm{g}) \rightleftharpoons 2 \mathrm{Ag}^{+}(\mathrm{aq})+\mathrm{CO}_{3}^{2-}(\mathrm{aq})\left(\mathrm{R}=8.314 \mathrm{J} \mathrm{K}^{-1} \mathrm{mol}^{-1}\right)\)
    Solution
    The relationship between the Gibbs free energy and the solubility product is
    \(\Delta \mathrm{G}^{\circ}=-2.303 \mathrm{RT} \log \mathrm{K}_{\mathrm{sp}}\)
    Substitute values in the above expression.
    \(63.3 \times 10^{3}=-2.303 \times 8.31 \times 298 \log \mathrm{K}_{\mathrm{sp}}\)
    \(-11.09=\log \mathrm{K}_{\mathrm{sp}}\)
    \(8 \times 10^{-12}=\mathrm{K}_{\mathrm{sp}}\)
    Hence, the \(\mathrm{K}_{\mathrm{sp}}\) of \(\mathrm{Ag}_{2} \mathrm{CO}_{3}(\mathrm{s})\) in water at \(25^{\circ} \mathrm{C}\) is \(8.0 \times 10^{-12}\)
    Hence option B is the correct answer.
  • Question 4
    1 / -0

    Identify A and B in the reaction given below.

    Solution
    In this reaction, Hoffman's product is desired, A bulky base must be used in the last step, such as t-butoxide ion.
    Hence option D is the correct answer.
  • Question 5
    1 / -0

    According to Einstein's interpretation of the photoelectric effect, the maximum K.E. of photoelectrons depends on ( h -W) where is the frequency of incident radiation and W is the work function. For three different metals graph plotted between maximum K/E. and the frequency of incident radiations. The three graphs obtained:

    Solution
    According to Einstein's equation,
    \(\mathrm{hv}=\mathrm{W}+\mathrm{K} \cdot \mathrm{E}_{\max }\)
    \(\mathrm{K.E} \cdot \max =\mathrm{hv}-\mathrm{W}\)
    Comparing it with equation of straight line with slope \(\mathrm{m}\) and intercept \(\mathrm{c}\),
    \(\mathrm{y}=\mathrm{mx}+\mathrm{c}\)
    We see that on taking \(\mathrm{K} . \mathrm{E}_{\max }\) on \(\mathrm{y}-\) axis and frequency of incident radiation on \(\mathrm{x}-\) axis, we get
    a straight line with intercept \(\mathrm{W}=\) workfunction and slope \(\mathrm{h}=\) Planck's constant
    We see that while plotting the graph of \(\mathrm{K} . \mathrm{E}\). vs \(\mathrm{v}\) for 3 different metals, slope will be same as \(\mathrm{h}\) is same for all 3 metals. But \(\mathrm{W}\) is different for different metals. So intercept will be different for
    different metals.
    Hence option C is the correct answer.
  • Question 6
    1 / -0

    For a first order reaction \(\mathrm{A} \rightarrow \mathrm{B}\), the reaction rate at reactant concentration of 0.01

    M is found to be \(2.0 \times 10^{-5} \mathrm{molL}^{-1} \mathrm{s}^{-1}\). The half-life period of the reaction is:

    Solution

    For first order reaction,

    \(A \longrightarrow B\)

    Rate \(=\mathrm{k} \times[\mathrm{A}]\)

    Given, rate \(=2.0 \times 10^{-5} \mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1}\)

    \([\mathrm{A}]=\) Conc. of \(\mathrm{A}=0.01 \mathrm{M}\)

    \(\mathrm{So}, 2.0 \times 10^{-5}=\mathrm{k} \times 0.01\)

    \(\mathrm{k}=\frac{2.0 \times 10^{-5}}{0.01} \mathrm{s}^{-1}\)

    \(=2.0 \times 10^{-3} \mathrm{s}^{-1}\)

    For first order reaction,

    \(\mathrm{t}_{1 / 2}=\frac{0.693}{\mathrm{k}}=\frac{0.693}{2.0 \times 10^{-3}}\)

    \(=346.5=347 \mathrm{s}\)

    Hence option D is the correct answer.

  • Question 7
    1 / -0

    The stability of an oxidation state in the lanthanides depends upon.

    Solution
    The stability of an oxidation state in lanthanide elements depends on the combined effect of hydration and ionisation energy.
    The oxidation is a three step process, as given below.
    Step \(1: \ln (s) \rightarrow \ln (g) \ldots \ldots . . \Delta H_{\text {sublimation }}\)
    Step \(2: \ln (g) \rightarrow \ln ^{+n}(g)+\) ne- \(\ldots \ldots \ldots \Delta H\) ionisation
    Step \(3: \ln ^{+n}(g)+H_{2} O \rightarrow \ln ^{+n}(a q) \ldots \ldots . \Delta H_{h y d r a t i o n}\)
    since \(\Delta H_{\text {sublimation}}\)is nearly the same for all lanthanides, the stability of an oxidation state depends upon \(\Delta H\) ionisation and \(\Delta H_{\text {hydration. }}\)
    Hence option A is the correct answer.
  • Question 8
    1 / -0

    The magnetic moment for Ni(NH3)4(NO3)2.2H2O is zero. Predict the correct formula for this coordination compound.

    Solution
    NO COMPLEX GEOMENTRY OXIDATION STATE ELECTRONIC CONFIGURATION MAGNETIC MOMENT
    1 [Ni(H2O)2(NO3)2].4NO3

    Tetrahedral

    Sp3

    +2

    d8

    ↑↓

    ↑↓

    ↑↓

    2.83
    2 [Ni(NH3)4] (NO3)2.2H2O

    Tetrahedral

    Sp3

    +2

    d8

    ↑↓

    ↑↓

    ↑↓

    2.83

    3 [Ni(NH3)4](NO3)2.2H2O

    Square planar

    dsp2

    +2

    d8

    ↑↓

    ↑↓

    ↑↓

    ↑↓

     
    0
    4 [Ni(NH3)4(H2O)2](NO3)2

    Octahedral

    Sp3d2

    +2

    d8

    ↑↓

    ↑↓

    ↑↓

    2.83
    Hence option A is the correct answer.
  • Question 9
    1 / -0

    The following plot represents the Ellingham diagram, a graph between temperature and ΔG for the formation of metal oxides. It is extremely helpful in selecting the right reducing agent for the extraction of metals.

    As per the given Ellingham diagram, which of the following conclusions is correct?

    Solution

    At 1500 oC, Al can be used to reduce Fe2O3, but not MgO.

    MgO can be reduced by Al above 1750 oC, where the MgO curve intersects the Al2O3 curve.

    Hence option A is the correct answer.

  • Question 10
    1 / -0

    A solid ‘AB’ is having NaCl type structure in which ‘A’ atoms are present in FCC lattice or CCP lattice. If all the face centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is :

    Solution

    Before removing face centred atoms:

    Number of 'A' atoms = (8 x 1/8) + (6 x 1/2) = 1 + 3 = 4 [There are 8 'A' atoms at the corners and 6 'A' atoms at the face centres].

    Number of 'B' atoms = (12 x 1/4) + (1 x 1) = 3 + 1 = 4 [There are 12 'B' atoms at the edges and 1 'B' atom at the centre of the unit cell].

    After removing two face centred 'A' atoms along one of the axes:

    Number of 'A' atoms = (8 x 1/8) + (4 x 1/2) = 1 + 2 = 3 [There are now only 4 'A' atoms at the face centres]

    Number of 'B' atoms = (12 x 1/4) + (1 x 1) = 3 + 1 = 4

    Therefore, the stoichiometry after removing these atoms is A3B4.

    Hence option D is the correct answer.

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