Three moles of an ideal gas `(C_(v,m) = 12.5 J K^(-1) mol^(-1))` are at `300 K` and `5 dm^(3)`. If the gas is heated to `320K` and the volume changed to `10 dm^(3)`, calculate the entropy change.

Explanation

To calculate the entropy change (\( \Delta S \)) for the given ideal gas, we can use the formula:

\[ \Delta S = n C_{v,m} \ln \left( \frac{T_2}{T_1} \right) + n R \ln \left( \frac{V_2}{V_1} \right) \]

Where:
- \( n \) = number of moles of the gas
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