Compare the formula `C_p - C_v = R` for an ideal gas with the thermodynamics relation `Delta U = Delta Q - P Delta V`.

Explanation

To compare the formula \( C_p - C_v = R \) for an ideal gas with the thermodynamic relation \( \Delta U = \Delta Q - P \Delta V \), we can follow these steps:

### Step 1: Understand the Definitions
- \( C_p \) is the specific heat at constant pressure.
- \( C_v \) is the specific heat at constant volume.
- \( R \) is the universal gas constant.
- \( \Delta U \) is the change in internal energy.
- \( \Delta Q \) is the heat added to the system.
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