Process Description
The given process is described by the figure, and the heat supplied during the process is q = 100 kJ.

Explanation
To determine ∆u, we need to understand the concept of internal energy (∆u) and how it is related to heat (q) and work (w).

Internal Energy (∆u)
Internal energy (∆u) is the sum of the kinetic and potential energy of the particles within a system. It is a state function and depends on the initial and final states of a system. The change in internal energy (∆u) can be calculated using the equation:

∆u = q - w

Where:
∆u = Change in internal energy
q = Heat supplied to the system
w = Work done by the system

In this case, we are given the heat supplied during the process (q = 100 kJ). To determine ∆u, we need to know the work done by the system (w).

Work Done by the System (w)
The work done by the system depends on the nature of the process. If the process is a mechanical process (e.g., expansion or compression of a gas), the work done can be calculated using the equation:

w = P∆V

Where:
w = Work done by the system
P = Pressure
∆V = Change in volume

However, since the figure and the process description do not provide any information about the pressure or volume changes, we cannot calculate the work done by the system. Therefore, we cannot determine the change in internal energy (∆u) without knowing the work done.

In conclusion, without the information about the work done by the system, we cannot calculate the change in internal energy (∆u) for the process described by the figure.

∆U is increasing of energy in a system
&
q is given or absorbed energy in a system