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\makeatletter
\title{Termodynamik i Makroskopisk Fysisk Kemi 101} \let\titletext\@title
\author{Philip Jakobsen}        \let\authortext\@author
\date{\today}                   \let\datetext\@date
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\begin{document}
\maketitle

\begin{flushleft}
\begin{tabular}{l | c c c c c c c}
    \toprule
    Process & Indre energi $\Delta U$ & Arbejde $w$ & Tilført varme $q$ & Betingelser & $\Delta S$ & $\Delta H$ \\
    \midrule
    Isokor & $\Delta U = n \cdot C_{V, m} \cdot \Delta T$ & $w = 0$ & $q = n \cdot C_{m, V} \cdot \Delta T$ & $\frac{p}{T} = \text{konst}, \quad \Delta V = 0$ & $\Delta S = n \cdot C_{V, m} \cdot \ln\frac{T_{f}}{T_{i}}$ & $\Delta H = \Delta U + n \cdot R \cdot \Delta T$ \\
    Isobar & $\Delta U = n \cdot C_{V, m} \cdot \Delta T$ & $w =
    %-p \cdot \Delta V =
    -n \cdot R \cdot \Delta T$ & $q = n \cdot C_{p, m} \cdot \Delta T$ & $\frac{V}{T} = \text{konst}, \quad \Delta p = 0$ & $\Delta S = n \cdot C_{V, m} \cdot \ln\frac{p_{f}}{p_{i}} $& $\Delta H = q$ \\
    Isoterm & $\Delta U = 0$ & $w = -n \cdot R \cdot T \cdot \ln\frac{V_{f}}{V_{i}}$ & $q = -w$ & $p \cdot V = \text{konst}, \quad \Delta T = 0$ & $\Delta S = n \cdot R \cdot \ln\frac{V_{f}}{V_{i}}$ & $\Delta H = 0$ \\
    Adiabat & $\Delta U = w$ & $w = n \cdot C_{V, m} \cdot \Delta T$ & $q = 0$ & $p \cdot V^{\gamma} = \text{konst}, \quad \gamma = \frac{C_{p, m}}{C_{V, m}}$ & $\Delta S =0$ & $\Delta H = V \Delta p$ \\
    \bottomrule
\end{tabular}
\end{flushleft}
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\end{document}