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Delta U is the change in internal energy of a system. The change in internal energy (dU) is equal to q+w, where q is the heat lost or gained and w is the work done on or by the system. (du=q+w) In the instance that the process occurs under constant pressure, du=dH+w, because qp=dH. If the process occurs isothermally, then dU=0 and q=-w. I am not sure what you mean by an equation that relates dU, time, and work; sorry I cannot help in that area. I hope this brief explanation helps though!
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