Step 1: Understand the Ziegler-Natta polymerization process.
The Ziegler-Natta polymerization process is a method used to produce high-density polyethylene (HDPE) and other polyolefins at relatively low pressures and temperatures compared to earlier radical polymerization methods. This process utilizes a special type of catalyst system known as the Ziegler-Natta catalyst.
Step 2: Identify the key components of a Ziegler-Natta catalyst.
A typical Ziegler–Natta catalyst system consists of two main components:
The active catalytic species is formed through the interaction of these two components.
Step 3: Evaluate the given options based on the composition of Ziegler-Natta catalysts.
(1) Is Nickel: Nickel-based catalysts are used in some polymerization processes, but they are not the typical catalysts for the low-pressure Ziegler process for polyethylene manufacture.
(2) Consists of aluminium triethyl combined with titanium tetrachloride:
Aluminium triethyl \(\text{Al(C}_2\text{H}_5)_3\) is a common organoaluminum cocatalyst, and titanium tetrachloride \(\text{TiCl}_4\) is a widely used transition metal compound in Ziegler–Natta catalysts for polyethylene production. This option correctly describes a typical Ziegler–Natta catalyst.
(3) Consists of aluminium chloride combined with titanium dioxide:
Aluminium chloride \(\text{AlCl}_3\) and titanium dioxide \(\text{TiO}_2\) are not the standard components of a Ziegler–Natta catalyst system used for polyethylene production. The organoaluminum component usually has alkyl groups bonded to aluminum, and titanium is typically in a halide form.
(4) Is vanadium pentoxide:
Vanadium pentoxide \(\text{V}_2\text{O}_5\) can be used as a catalyst in some oxidation reactions, but it is not the primary catalyst for the low-pressure Ziegler process for polyethylene manufacture. Vanadium-based compounds (like \(\text{VCl}_4\)) are sometimes used in Ziegler–Natta catalysts, but they are usually paired with an organoaluminum cocatalyst.
Step 4: Conclude the correct composition of the Ziegler-Natta catalyst for polyethylene manufacture.
Based on the understanding of Ziegler-Natta catalysts, the combination of aluminium triethyl and titanium tetrachloride is the correct answer for the catalyst used in the low-pressure Ziegler process for polyethylene manufacture.
The representation of octal number \((532.2){_8}\) in decimal is ____ .
Given the signal,
\(X(t) = cos t\), if \(t<0 \)
\(Sin\ t\), if \(t\ge0 \)
The correct statement among the following is?
A linear system at rest is subject to an input signal \(r(t) = 1 - e^{-t}\). The response of the system for t>0 is given by \(c(t) = 1 - e^{-2t}\). The transfer function of the system is:
In the given circuit below, voltage \(V_C(t)\) is: