Calculate entropy change when `10mol` of an ideal gas expands reversible and isothermally from an initial volume of `10L` to `100L` at `300K`.

Explanation

To calculate the entropy change (\( \Delta S \)) when \( 10 \, \text{mol} \) of an ideal gas expands isothermally and reversibly from an initial volume of \( 10 \, \text{L} \) to a final volume of \( 100 \, \text{L} \) at a temperature of \( 300 \, \text{K} \), we can use the following formula for the change in entropy:

\[ \Delta S = nR \ln\left(\frac{V_2}{V_1}\right) \]

Where:
- \( n \) = number of moles of gas = \( 10 \, \text{mol} \)
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