For the following reaction, the possible product(s) is/are
The reaction proceeds in three steps:
Step 1: Grignard Addition
Methylmagnesium bromide (MeMgBr) is a strong nucleophile that attacks the carbonyl group of the enone. The nucleophilic attack can occur from either face of the molecule, resulting in a mixture of diastereomeric allylic alcohols after acidic workup. The methyl group adds to the carbon of the carbonyl group, generating a new chiral center.
The existing stereocenter remains unchanged, but the new chiral center (at the carbon bearing the hydroxyl group) can be either R or S depending on the face of attack.
Step 2: Oxidation with PCC
Pyridinium chlorochromate (PCC) is a mild oxidizing agent that converts the allylic alcohol to an α,β-unsaturated ketone (an enone). This step does not alter the stereochemistry at the adjacent carbon atom (bearing the methyl and hydrogen).
Step 3: Catalytic Hydrogenation with H2, Pd/C
Hydrogenation with Pd/C reduces the double bond of the enone. The addition of hydrogen occurs syn (from the same face), which can happen from either the top or bottom face of the ring system, giving rise to different stereoisomers.
The stereochemical outcome of this step depends on steric hindrance—substituents such as methyl or ethyl groups may influence which face the hydrogenation occurs from. Nevertheless, both diastereomers are possible due to limited stereoselectivity.
Summary:
Correct interpretation: Options (A) and (C) are valid stereoisomeric products resulting from the reaction sequence. Each represents a different diastereomer formed due to variations in Grignard attack and hydrogenation facial selectivity.
Options (B) and (D) show either incorrect connectivity or stereochemistry inconsistent with the mechanistic steps and are therefore incorrect.
The Lineweaver-Burk plot for an enzyme obeying the Michaelis-Menten mechanism is given below.
The slope of the line is \(0.36 \times 10^2\) s, and the y-intercept is \(1.20\) mol\(^{-1}\) L s. The value of the Michaelis constant (\(K_M\)) is ________ \( \times 10^{-3} \) mol L\(^{-1}\) (in integer). [Note: \(v\) is the initial rate, and \([S]_0\) is the substrate concentration]
Consider a Carnot engine with a hot source kept at 500 K. From the hot source, 100 J of energy (heat) is withdrawn at 500 K. The cold sink is kept at 300 K. The efficiency of the Carnot engine is ___________ (rounded off to one decimal place).
For the cell reaction, \[ Hg_2Cl_2 (s) + H_2 (1 \, {atm}) \rightarrow 2Hg (l) + 2H^+ (a=1) + 2Cl^- (a=1) \] The standard cell potential is \( \mathcal{E}^0 = 0.2676 \) V, and \( \left(\frac{\partial \mathcal{E}^0}{\partial T}\right)_P = -3.19 \times 10^{-4} \) V K\(^{-1}\). The standard enthalpy change of the reaction (\( \Delta_r H^0 \)) at 298 K is \( -x \) kJ mol\(^{-1}\). The value of \( x \) is ___________ (rounded off to two decimal places). [Given: Faraday constant \( F = 96500 \) C mol\(^{-1}\)]
The mean energy of a molecule having two available energy states at \( \epsilon = 0 \) J and \( \epsilon = 4.14 \times 10^{-21} \) J at 300 K is ___________ \( \times 10^{-21} \) J (rounded off to two decimal places). [Given: Boltzmann constant \( k_B = 1.38 \times 10^{-23} \) J K\(^{-1}\)]
Wavefunctions and energies for a particle confined in a cubic box are \( \psi_{n_x,n_y,n_z} \) and \( E_{n_x,n_y,n_z} \), respectively. The functions \( \phi_1, \phi_2, \phi_3 \), and \( \phi_4 \) are written as linear combinations of \( \psi_{n_x,n_y,n_z} \). Among these functions, the eigenfunction(s) of the Hamiltonian operator for this particle is/are \[ \phi_1 = \frac{1}{\sqrt{2}} \psi_{1,4,1} - \frac{1}{\sqrt{2}} \psi_{2,2,3} \] \[ \phi_2 = \frac{1}{\sqrt{2}} \psi_{1,5,1} + \frac{1}{\sqrt{2}} \psi_{3,3,3} \] \[ \phi_3 = \frac{1}{\sqrt{2}} \psi_{1,3,8} + \frac{1}{\sqrt{2}} \psi_{3,8,1} \] \[ \phi_4 = \frac{1}{2} \psi_{3,3,1} + \frac{\sqrt{3}}{2} \psi_{2,4,1} \]
The correct option(s) of reagents and reaction sequences suitable for carrying out the following transformation is/are
The UV-visible spectrum of [Ni(en)\(_3\)]\(^{2+}\) (en = ethylenediamine) shows absorbance maxima at 11200 cm\(^{-1}\), 18350 cm\(^{-1}\), and 29000 cm\(^{-1}\).
[Given: Atomic number of Ni = 28] The correct match(es) between absorbance maximum and electronic transition is/are
The correct option with regard to the following statements is
(a) Time-independent Schrödinger equation can be exactly solved for Be\(^{2+}\).
(b) For a particle confined in a one-dimensional box of length \( l \) with infinite potential barriers, the trial variation function \( \phi = \left[ \left( \frac{3}{l^3} \right)^{1/2} x \right] \) is not an acceptable trial wavefunction for \( 0 \le x \le l \).
(c) Wavefunctions for system of Fermions must be anti-symmetric with respect to exchange of any two Fermions in the system.
(d) Born-Oppenheimer approximation can be used to separate the vibrational and rotational motion of a molecule.
Compound K displayed a strong band at 1680 cm−1 in its IR spectrum. Its 1H-NMR spectral data are as follows:
δ (ppm):
7.30 (d, J = 7.2 Hz, 2H)
6.80 (d, J = 7.2 Hz, 2H)
3.80 (septet, J = 7.0 Hz, 1H)
2.20 (s, 3H)
1.90 (d, J = 7.0 Hz, 6H)
The correct structure of compound K is: