"The customer is always right" is an old truism. However, this rule does have some exceptions.
The OP's request is just such case: By placing the word "or" on the same line as -- but maximally separated from -- the framed equation (5.11), the word "or" actually becomes nearly invisible and unnoticeable. Presumably, that is not the OP's intention.
I suggest that the OP load the mathtools package, employ an align
environment to typeset to equations, and place the word "or" in a \shortintertext
wrapper. That way, text and math are visually separated and remain equally visible.

\documentclass{article} % or some other suitable document class
\usepackage{mathtools} % for \shortintertext and \Aboxed macros
\usepackage{lipsum} % filler text
\usepackage{newtxtext,newtxmath} % optional: Times Roman text and math fonts
\counterwithin{equation}{section} % just for this example
\begin{document}
\setcounter{section}{5} % just for this example
\setcounter{equation}{10}
\noindent
\lipsum[1][1-3] % filler text
\begin{align}
\ln P &= -\gamma\ln V + \ln\text{const.} \notag \\
\shortintertext{or}
\Aboxed{PV^{\gamma} &= \text{const.}}
\end{align}
This equation of state holds for all equilibrium states through which the ideal \dots
\end{document}
Addendum to address the OP's follow-up comment: I suppose the OP's desired layout could be achieved by using (abusing!) an flalign
environment; see the upper part of the screenshot below.
I can only hope that the OP will take @gildux's earlier comment
I thought the [word] "or" was part of the equation (or a cell of an equation array or something like that). The image looks strange...
to heart and decide against pursuing the flalign
approach after all. Yes, the flalign
"saves" a bit more than 1\baselineskip
in vertical space expended on the document -- at the cost of producing something that's confusing or misleading (or both!). In short, the OP's desired layout is a sadly-excellent illustration of the old-time expression "penny-wise but pound-foolish". :-)

\documentclass{article}
\usepackage{mathtools}
\usepackage{newtxtext,newtxmath} % optional
\begin{document}
\hrule
\begin{flalign}
&& \ln P &= -\gamma\ln V + \ln\text{const.} & \notag \\
\text{or} && \Aboxed{PV^{\gamma} &= \text{const.}} &
\end{flalign}
\hrule
\smallskip
\noindent vs.
\smallskip
\hrule
\begin{align}
\ln P &= -\gamma\ln V + \ln\text{const.} \notag \\
\shortintertext{or}
\Aboxed{PV^{\gamma} &= \text{const.}}
\end{align}
\hrule
\end{document}
\text{}
) are centered by default. If you wantraggedleft
in text mode, you use theragged2e
package environments and commands.