If a system absorbs heat and expands through a volume `DeltaV` against external pressure, P accompanied by increas in internal energy, `Delta U `, then `q = "…..............."`.

Explanation

To solve the problem, we need to apply the first law of thermodynamics, which states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (q) minus the work done by the system (W). The equation can be expressed as:

\[ \Delta U = q - W \]

Given that the system absorbs heat, we can rearrange this equation to solve for q:

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