Explain why heat capacity is not a state function?

Explanation

### Step-by-Step Solution:

1. **Understanding State Functions vs. Path Functions**:
- State functions are properties that depend only on the current state of a system, regardless of how it reached that state. Examples include internal energy, enthalpy, and entropy.
- Path functions, on the other hand, depend on the specific path taken to reach a particular state. Examples include heat (q) and work (w).

2. **Definition of Heat Capacity**:
- Heat capacity (C) is defined as the amount of heat required to raise the temperature of a system by one degree Celsius (or one Kelvin). It can be expressed mathematically as:
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