Step 1: Octane number measures the fuel’s ability to resist knocking. Iso-octane (2,2,4-trimethylpentane) is defined with an octane number of 100.
Step 2: Straight-chain alkanes (n-alkanes) generally have low octane numbers because they ignite easily, leading to knocking. Increasing the carbon chain length in linear alkanes actually decreases their octane number.
Step 3: Branching in alkanes (Option B) increases the octane number since it enhances resistance to knocking.
Step 4: Catalytic reforming (Option C) increases octane number by converting straight-chain hydrocarbons into branched or aromatic compounds.
Step 5: Gasoline quality is indeed measured using the octane number (Option D).
Final Answer: The incorrect statement is: \[ \boxed{\text{(A)}} \]
Match the products in Group 1 with the manufacturing processes in Group 2
| Group 1 | Group 2 |
|---|---|
| P) Acetaldehyde | I) Sulfate process |
| Q) Sulfuric acid | II) Electric furnace process |
| R) Pulp | III) Wacker process |
| S) Phosphorus | IV) Contact process |
A hot plate is placed in contact with a cold plate of a different thermal conductivity as shown in the figure. The initial temperature (at time $t = 0$) of the hot plate and cold plate are $T_h$ and $T_c$, respectively. Assume perfect contact between the plates. Which one of the following is an appropriate boundary condition at the surface $S$ for solving the unsteady state, one-dimensional heat conduction equations for the hot plate and cold plate for $t>0$?

The following data is given for a ternary \(ABC\) gas mixture at 12 MPa and 308 K:

\(y_i\): mole fraction of component \(i\) in the gas mixture
\(\hat{\phi}_i\): fugacity coefficient of component \(i\) in the gas mixture at 12 MPa and 308 K
The fugacity of the gas mixture is _________ MPa (rounded off to 3 decimal places).
An electrical wire of 2 mm diameter and 5 m length is insulated with a plastic layer of thickness 2 mm and thermal conductivity \( k = 0.1 \) W/(m·K). It is exposed to ambient air at 30°C. For a current of 5 A, the potential drop across the wire is 2 V. The air-side heat transfer coefficient is 20 W/(m²·K). Neglecting the thermal resistance of the wire, the steady-state temperature at the wire-insulation interface __________°C (rounded off to 1 decimal place).

GIVEN:
Kinematic viscosity: \( \nu = 1.0 \times 10^{-6} \, {m}^2/{s} \)
Prandtl number: \( {Pr} = 7.01 \)
Velocity boundary layer thickness: \[ \delta_H = \frac{4.91 x}{\sqrt{x \nu}} \]