In an irreversible process taking place at constant $\mathrm{T}$ and $\mathrm{P}$ and in which only pressure-volume work is being done, the change in Gibbs free energy $\left(\mathrm{dG}\right)$ and the change in entropy $\left(\mathrm{dS}\right)$, satisfy the criteria.

If a system absorbs heat $\mathrm{q}$ and expands through a volume $∆\mathrm{V}$ against external pressure, $\mathrm{P}$ accompanied by increase in internal energy $∆\mathrm{U}$, then $\mathrm{q}=$ _____.

$$\begin{gathered} \mathrm{A}: \mathrm{q}=∆\mathrm{U}-\mathrm{P}∆\mathrm{V} \\ \mathrm{B}: \mathrm{q}=∆\mathrm{U}+\mathrm{P}∆\mathrm{V} \\ \mathrm{C}: \mathrm{q}=-∆\mathrm{U}+\mathrm{P}∆\mathrm{V} \\ \mathrm{D}: \mathrm{q}=-∆\mathrm{U}-\mathrm{P}∆\mathrm{V} \end{gathered}$$

Write A, B, C or D in the fill in blank.