An electric heater supplies heat to a system at a rate of `100W`. If sustem performs work at a rate `74 Joul es` per second, at what rate is the internal energy increasing?

Explanation

To solve the problem, we will 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 (ΔQ) minus the work done by the system (ΔW). The equation can be expressed as:

ΔU = ΔQ - ΔW

### Step-by-Step Solution:

1. **Identify the heat supplied (ΔQ)**:
The electric heater supplies heat to the system at a rate of 100 W. Since 1 W = 1 J/s, we can say:
...