Entropy Change Calculation in Acetone Melting Process

How can we calculate the entropy change when acetone melts at its melting point?

Given data: The heat of fusion of acetone is 5.7 kJ/mol. Calculate the entropy change when 6.3 mol of acetone melts at its melting point of -94.7°C at constant pressure.

Calculation of Entropy Change:

The entropy change of the process is 2.0 x 10^2 J/K.

Entropy change is a crucial concept in thermodynamics that helps us understand the energy flow and disorder in a system. In the case of acetone melting process, we can calculate the entropy change using the formula:

ΔS = n x (ΔHf / T)

Where:

ΔS = Entropy change

n = Moles of acetone = 6.3 mol

ΔHf = Enthalpy of fusion = 5.7 kJ/mol = 5700 J/mol

T = Temperature of the system = -94.7°C = 178.3 K

By substituting the given values into the formula, we can calculate the entropy change as follows:

ΔS = (6.3 mol x 5700 J/mol) / 178.3 K = 201.4 J/K = 2.0 x 10^2 J/K

Therefore, the entropy change of the acetone melting process is 2.0 x 10^2 J/K. This calculation illustrates the change in disorder and energy distribution during the phase transition of acetone, providing valuable insights into the thermodynamic behavior of the system.