Molecular Energy and Entropy
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Molecular Energy and Entropy

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@CleverMilkyWay

Questions and Answers

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

The coupling is stronger in BX.

Which molecule has the maximum rotational entropy at room temperature?

N2

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 less than – 0.5 au

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

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