5 mole of an ideal gas expand reversibly from a volume of 8 dm3 to 80 dm3 at a temperature of 27°C. Calculate the change in entropy.

Explanation

To calculate the change in entropy of an ideal gas, we can use the formula:ΔS = nR ln(V2/V1)Given that 5 moles of an ideal gas expand reversibly from a volume of 8 dm³ to 80 dm³ at a temperature of 27°C, we can calculate the change in entropy as follows:ΔS = (5 mol) (8.314 J/mol K) log(80 dm³/8 dm³) = 5 mol x 8.314 J/mol K x 2.197 = 95.73 J/KThis means that Option C is the correct answer as it provides the accurate change in entropy. The other options are incorrect because they do not calculate the change in entropy correctly.