The temperature and pressure of one mole of an ideal monoatomic gas changes from `25^(@)` C and 1 atm pressure to `250^(@)` C and 25 atm. Calculate the change in entropy for the process.

Explanation

To calculate the change in entropy (ΔS) for the given process involving one mole of an ideal monoatomic gas, we will use the formula:

\[ \Delta S = C_p \ln\left(\frac{T_2}{T_1}\right) - R \ln\left(\frac{P_2}{P_1}\right) \]

### Step 1: Convert Temperatures to Kelvin
First, we need to convert the temperatures from Celsius to Kelvin.
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