**Heat Transfer to the System per Degree Increase in Temperature**

In this question, we are given that a system undergoes a process and we need to determine the heat transfer to the system per degree increase in temperature. The heat transfer per unit temperature change is given by the equation D/dx Q = 2.0 kJ/C.

Let's break down the given information and understand its meaning and significance in the context of heat transfer.

**Understanding the Equation**

The equation D/dx Q = 2.0 kJ/C represents the rate of heat transfer per degree increase in temperature. It can be interpreted as the amount of heat energy transferred to the system for every one-degree rise in temperature.

Here, D/dx Q represents the rate of heat transfer, which is the change in heat energy per unit temperature change. It is commonly denoted as dQ/dT, where dQ is the change in heat energy and dT is the change in temperature.

The value of 2.0 kJ/C indicates that for every one-degree increase in temperature, the system receives 2.0 kilojoules of heat energy. This value can be considered as a constant for the given process.

**Implications of the Equation**

The given equation implies the following:

1. Proportional Relationship: The heat transfer to the system is directly proportional to the change in temperature. As the temperature increases, the amount of heat transferred also increases, and vice versa.

2. Constant Heat Transfer Coefficient: The heat transfer coefficient, represented by 2.0 kJ/C, remains constant throughout the process. This indicates that the rate of heat transfer does not depend on the magnitude of temperature change but only on the change itself.

3. Linear Relationship: The equation represents a linear relationship between heat transfer and temperature change. This means that the heat transfer per degree increase in temperature remains constant, regardless of the initial or final temperature of the system.

**Conclusion**

In conclusion, the given equation D/dx Q = 2.0 kJ/C describes the rate of heat transfer to the system per degree increase in temperature. It signifies a constant heat transfer coefficient and a linear relationship between heat transfer and temperature change. By understanding this equation, we can analyze and predict the heat transfer behavior of the system during the process.