Either you can continue to use \[ \] and use the \tag{} to label the equation as well as the '\label{}' to allow it to be referenced later, or you can use '\begin{equation}' & '\end{equation}' instead so that it will automatically label the equation for you.
If you choose to use \begin{equation} and you would like your equation to be numbered differently, you can still use \tag to label it differently.
For example:
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\[
\pdv{T^k}{t} =
-\frac{\dot{f}_t^k}{A\varepsilon_{\textrm{cat}}C_t^k}
\frac{T_i^k-T_i^{k-1}}{\Delta z}
+\frac{\pi D_i}{A\varepsilon_{\textrm{cat}}C_t^kC_p^k}
+\frac{\rho_{\textrm{cat}}a}{\varepsilon_{\textrm{cat}}C_t^kC_p^k}
\sum_{i=1}^{N} \eta_i^kr_i^k(-\Delta H_{\!f,i}^k) \tag{1.1} \label{eq1}
\]
\end{document}
or,
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{equation}
\pdv{T^k}{t} =
-\frac{\dot{f}_t^k}{A\varepsilon_{\textrm{cat}}C_t^k}
\frac{T_i^k-T_i^{k-1}}{\Delta z}
+\frac{\pi D_i}{A\varepsilon_{\textrm{cat}}C_t^kC_p^k}
+\frac{\rho_{\textrm{cat}}a}{\varepsilon_{\textrm{cat}}C_t^kC_p^k}
\sum_{i=1}^{N} \eta_i^kr_i^k(-\Delta H_{\!f,i}^k) \tag{1.1} \label{eq1}
\end{equation}
\end{document}
\begin{equation}...\end{equation}instead of\[...\]. BTW: this should be covered in any reasonable latex introduction. (BTW: I did not give this a thumb down, whoever did should have added a comment) – daleif Jun 25 '20 at 07:30$$,\[,align,equationanddisplaymath? – Mico Jun 25 '20 at 10:05\[ \]'s a number - TeX - LaTeX Stack Exchange (the only difference is that the linked question the OP already know a solution and ask for a shortcut) – user202729 May 31 '23 at 13:08