Solution: Activation Energy and Z-Value Relationship
The question asks for the quantitative relationship between Activation Energy ($E$), average absolute temperature ($T_m$), the universal gas constant ($R$), and the Z-value.
The specific quantitative relationship presented in the options is derived from kinetic theories or specific models of reaction rates. The correct formula is:
$E = \frac{2.3 R T_m^2}{Z}$
Where:
- $E$ denotes the Activation Energy.
- $R$ represents the universal gas constant.
- $T_m$ is the average absolute temperature.
- $Z$ is the Z-value. In chemical kinetics contexts, this often relates to the collision frequency factor or steric considerations. The factor 2.3 commonly appears when converting between natural logarithms and base-10 logarithms.
This equation indicates that activation energy ($E$) is directly proportional to the square of the average absolute temperature ($T_m^2$) and inversely proportional to the Z-value ($Z$), scaled by the universal gas constant ($R$) and the factor 2.3.
Important Questions from Miscellaneous
- Which of the following relationships is/are not true?
(A). Most probable velocity = $\sqrt{\frac{2RT}{M}}$
(B). PV = $\frac{3}{2}kT$
(C). Compressibility factor Z = $\frac{pV}{nRT}$
(D). Average kinetic energy of gas = $\frac{1}{2}kT$
Choose the correct answer from the options given below - Match List-I with List-II
List-I List-II Electronic Configuration First Ionisation energy (kJ mol$^{-1}$) (A). ns$^2$ (I). 2100 (B). ns$^2$np$^1$ (II). 1400 (C). ns$^2$np$^3$ (III). 800 (D). ns$^2$np$^6$ (IV). 900
Choose the correct answer from the options given below: - The shielding constant of a 2p electron (calculated using Slater's rules) is
- Match List-I with List-II
List-I List-II Spectroscopy Property (A). Raman (I). Polarizability (B). FTIR (II). Dipole Moment (C). UV-Visible (III). Absorbance (D). NMR (IV). Spin
Choose the correct answer from the options given below: - The structure of protein comprises of:
(A). Primary structure of protein is associated with amino acids
(B). Secondary structure of protein is associated to peptides
(C). Tertiary structure of protein is associated with polypeptide chains
(D). Quaternary structure of protein is associated with polypeptide chains
Choose the correct answer from the options given below:
