What is the relationship between`q_(p)` and `q_(v)` ?

Explanation

To derive the relationship between \( q_p \) (heat at constant pressure) and \( q_v \) (heat at constant volume), we can follow these steps:

### Step 1: Understand the Definitions
- **\( q_p \)**: The heat absorbed or released by a system at constant pressure.
- **\( q_v \)**: The heat absorbed or released by a system at constant volume.

### Step 2: Apply the First Law of Thermodynamics
The first law of thermodynamics states that the change in internal energy (\( \Delta U \)) of a system is equal to the heat added to the system (\( q \)) minus the work done by the system (\( W \)):
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