To solve this, we evaluate each technical statement based on industrial chemistry and coordination chemistry principles:
1. Statement A: In the Contact process for the manufacture of Sulfuric acid ($H_2SO_4$), the catalyst used to oxidize $SO_2$ to $SO_3$ is Vanadium pentoxide ($V_2O_5$). In $V_2O_5$, Vanadium is in its maximum oxidation state of $+5$. High oxidation state oxides of transition metals are generally acidic or amphoteric, not basic. Specifically, $V_2O_5$ is amphoteric but predominantly acidic in nature. Thus, statement A is incorrect.
2. Statement B: Ziegler-Natta polymerization uses a catalyst system typically consisting of $TiCl_4$ (a transition metal halide) and $Al(C_2H_5)_3$. In $TiCl_4$, Titanium is in the $+4$ oxidation state. Titanium ($Z=22$) has a ground state configuration of $[Ar] 3d^2 4s^2$. $Ti^{4+}$ has the configuration $[Ar] 3d^0 4s^0$, meaning it has zero unpaired electrons. The spin-only magnetic moment formula is:
$$\mu = \sqrt{n(n+2)}\text{ BM}$$
where $n$ is the number of unpaired electrons. For $n=0$, $\mu = 0\text{ BM}$. Even if $TiCl_3$ ($Ti^{3+}$, $3d^1$) were used, $\mu$ would be $\sqrt{1(3)} = 1.73\text{ BM}$. A value of $2.84\text{ BM}$ corresponds to $n=2$ unpaired electrons. Thus, statement B is incorrect.
3. Statement C: The p-block metal compound used in Ziegler-Natta catalysts is Triethylaluminium, $Al(C_2H_5)_3$. Aluminium (Al) is a p-block element located in Group 13. In $Al(C_2H_5)_3$, Aluminium is bonded to three ethyl groups, resulting in a $+3$ oxidation state. This matches the statement. Thus, statement C is correct.
4. Statement D: The Wacker process converts ethene to acetaldehyde using a catalyst system of $PdCl_2$ and $CuCl_2$. The primary transition metal halide is $PdCl_2$. Palladium ($Z=46$) has a ground state electronic configuration of $[Kr] 4d^{10} 5s^0$. In $PdCl_2$, the oxidation state of Palladium is $+2$. The configuration of $Pd^{2+}$ is $[Kr] 4d^8$. Therefore, there are exactly 8 electrons in the outermost 'd' orbital. Thus, statement D is correct.
Comparing our findings with the options, only C and D are true. Hence, the correct answer is option 3.