Molecular Energy and Entropy
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What is the correct statement about the coupling of vibrational and rotational motion in AX and BX?

  • The coupling is stronger in AX.
  • There is no coupling in both AX and BX.
  • The coupling is stronger in BX. (correct)
  • Magnitude of coupling is same in both AX and BX.

    • Which molecule has the maximum rotational entropy at room temperature?

  • H2
  • N2 (correct)
  • D2
  • O2

    • What happens to the average value of energy of the ground state of hydrogen atom if a normalized wavefunction with ζ ≠ 1 is used?

  • It becomes equal to ζ times – 0.5 au
  • It remains equal to – 0.5 au
  • It becomes greater than – 0.5 au
  • It becomes less than – 0.5 au (correct)

    • What is the condition for a constant of motion?

    <p>[H, A] = 0</p> Signup and view all the answers

    What is the Hermitian conjugate of operator d/dx?

    <p>-d/dx</p> Signup and view all the answers

    What type of expansion is expected to result in heating?

    <p>PVa = constant expansion</p> Signup and view all the answers

    What is the normalized hydrogen atom 1s wavefunction?

    <p>(1/π)^(1/2) e^(–ζr/a0)</p> Signup and view all the answers

    What is the energy of the ground state of hydrogen atom in au?

    <p>-0.5 au</p> Signup and view all the answers

    What is the amount of energy released during the nuclear fission reaction of 235U?

    <p>3.12 × 10^12 kJ/mol</p> Signup and view all the answers

    What is the order of the decomposition reaction of gaseous acetaldehyde?

    <p>Second order</p> Signup and view all the answers

    What is the unit of the rate constant in the decomposition reaction of gaseous acetaldehyde?

    <p>Torr^-1 s^-1</p> Signup and view all the answers

    What is the catalytic efficiency of the enzyme catalysed reaction?

    <p>10^6 dm^3 mol^-1 s^-1</p> Signup and view all the answers

    What is the value of n in the hydrogenic orbital with radial function of the form r^α exp [-βr] and φ - par as exp [-3iφ]?

    <p>n = 4</p> Signup and view all the answers

    What is the value of l in the hydrogenic orbital with radial function of the form r^α exp [-βr] and φ - par as exp [-3iφ]?

    <p>l = 3</p> Signup and view all the answers

    What is the value of m in the hydrogenic orbital with radial function of the form r^α exp [-βr] and φ - par as exp [-3iφ]?

    <p>m = -3</p> Signup and view all the answers

    What is the parameter that is related to the standard deviation of Maxwell’s speed for an assembly of molecules?

    <p>Molar mass (M) and temperature (T)</p> Signup and view all the answers

    What is the product of oxidation of papaverine with potassium permanganate?

    <p>A ketone</p> Signup and view all the answers

    What is the product formed when the ketone from papaverine oxidation is fused with potassium hydroxide?

    <p>Cannot be determined from the given information</p> Signup and view all the answers

    What is the major product formed on nitration of uridine followed by reduction with tin and HCl?

    <p>D</p> Signup and view all the answers

    What is the correct structure for the major product X in the given reaction sequence?

    <p>A</p> Signup and view all the answers

    What is the major product formed in the given reaction?

    <p>A</p> Signup and view all the answers

    What is a chiral centre?

    <p>A asymmetric carbon atom</p> Signup and view all the answers

    What is a chiral axis?

    <p>A rotating axis of symmetry</p> Signup and view all the answers

    What is the relation between Column I and Column II?

    <p>A(i), B(ii), C(iii)</p> Signup and view all the answers

    What is the correct 1H NMR chemical shift for proton A in the given compound?

    <p>6.8 ppm</p> Signup and view all the answers

    What is the correct 1H NMR chemical shift for proton C in the given compound?

    <p>3.9 ppm</p> Signup and view all the answers

    What is the major product formed in the given reaction sequence?

    <p>Structure B</p> Signup and view all the answers

    What is the product B formed in the reaction of citronellol A with pyridinium chlorochromate (PCC) followed by treatment with aq.sodium hydroxide?

    <p>Aldehyde</p> Signup and view all the answers

    What is the product C formed in the reaction of citronellol A with pyridinium chlorochromate (PCC) in the presence of sodium acetate?

    <p>Ketone</p> Signup and view all the answers

    What is the correct match for the starting compound (i) in the photochemical reaction?

    <p>Product E</p> Signup and view all the answers

    What is the correct match for the starting compound (ii) in the photochemical reaction?

    <p>Product B</p> Signup and view all the answers

    What is the correct match for the starting compound (iii) in the photochemical reaction?

    <p>Product B</p> Signup and view all the answers

    What is the oxidation state of iron in met-haemoglobin?

    <p>Four</p> Signup and view all the answers

    What type of reaction occurs when Ni(CO)4 reacts with the ligand L?

    <p>Associative</p> Signup and view all the answers

    What is the nature of Cl- as a ligand?

    <p>Only a σ-donor</p> Signup and view all the answers

    What is the correct d-electron configuration showing spin-orbit coupling?

    <p>t2g4eg2</p> Signup and view all the answers

    What is the correct statement about the aggregating nature of alkyl lithium (RLi) reagent?

    <p>The observed aggregation arises from its electron deficient nature.</p> Signup and view all the answers

    What is the correct observation for the reaction, trans-[IrCl(CO)(PPh3)2] + Cl2 → trans-[IrCl3(CO)(PPh3)2]?

    <p>vCO(product) &gt; vCO/reactant</p> Signup and view all the answers

    What is the requirement for nucleophilic attack on olefins under mild conditions?

    <p>It requires activation by coordination to metal.</p> Signup and view all the answers

    What is the nature of the reaction of Ni(CO)4 with the ligand L?

    <p>Substitution reaction</p> Signup and view all the answers

    Study Notes

    Molecular Energy and Spectroscopy

    • Molecule BX has a vibrational energy of 400 cmˉ¹ and rotational energy of 40 cmˉ¹.
    • The coupling of vibrational and rotational motion is not stronger in AX than in BX.

    Rotational Entropy

    • At room temperature, the molecule with the maximum rotational entropy is not specified.

    Quantum Mechanics

    • The normalized hydrogen atom 1s wavefunction is given by ψ1s = (1/√π) (1/a0)³/² e^(-r/a0).
    • The average value of energy of the ground state of the hydrogen atom is -0.5 au.

    Constants of Motion

    • A constant of motion is defined by the equation [H, A] = 0.

    Operators

    • The Hermitian conjugate of the operator d/dx is -d/dx.

    Thermodynamics

    • An ideal gas expands by following the equation PVa = constant.
    • Heating is not expected in this process.

    Nuclear Reactions

    • The energy released during a nuclear fission reaction of ²³⁵U is 1.68 × 10¹⁰ kJ/mol.

    Kinetics

    • The decomposition of gaseous acetaldehyde at T(K) follows second-order kinetics.
    • The half-life of this reaction is 400 s when the initial pressure is 250 Torr.
    • The rate constant and half-life of the reaction are affected by the initial pressure of the acetaldehyde.

    Enzyme Catalysis

    • The catalytic efficiency of an enzyme-catalyzed reaction can be determined from a Lineweaver-Burk plot.

    Orbital Theory

    • A hydrogenic orbital with a radial function of the form r ɑ exp(-βr) and φ(-par) as exp(-3iφ) corresponds to a specific set of quantum numbers (n, ℓ, m).

    Statistical Mechanics

    • The standard deviation of Maxwell's speed distribution is approximately proportional to the square root of the temperature.

    Organic Chemistry

    • Papaverine on oxidation with potassium permanganate gives a ketone, which on fusion with potassium hydroxide gives a specific product.
    • The major product formed on nitration of uridine followed by reduction with tin and HCl is a specific compound.
    • The correct structures for the major products X and Y in a reaction sequence are specific compounds.
    • The major product formed in a reaction sequence is a specific compound.
    • Citronellol A on oxidation with pyridinium chlorochromate (PCC) followed by treatment with aq. sodium hydroxide gives a specific product.

    Photochemistry

    • The correct products formed in photochemical reactions of specific starting compounds are specific compounds.

    Inorganic Chemistry

    • The oxidation state of iron in met-haemoglobin is three.
    • The reaction of |Ni(CO)₄ with the ligand (L = PMe₃ or P(OMe)₃) yields Ni(CO)₃L.
    • As a ligand, Cl⁻ is a σ-donor.
    • The correct d-electron configuration showing spin-orbit coupling is t²g eg³.

    Organometallic Chemistry

    • The correct statement for the aggregating nature of alkyl lithium (RLi) reagent is that the carbanion nucleophilicity increases with aggregation.
    • The observed aggregation arises from the electron-deficient nature of the reagent.
    • The correct observation for the reaction trans-[IrCl(CO)(PPh₃)₂] + Cl₂ → trans-[IrCl₃(CO)(PPh₃)₂] is that vCO(product) < vCO(reactant).

    Organic Reaction Mechanisms

    • The nucleophilic attack on olefins under mild conditions is facile for electron-rich olefins.

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    Description

    Quiz on molecular vibrational and rotational energy, and entropy at room temperature.

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