Tungsten has been used to make light bulb filaments since 1908. The melting point of tungsten is 3422 °C and the heat of fusion is 35 kJ/mole. Calculate the entropy change associated with the melting of one mole of tungsten.
4.3 mol of tungsten to atoms
To calculate the entropy change associated with the melting of one mole of tungsten, we can use the formula:
ΔS = ΔH / T
where ΔS is the entropy change, ΔH is the heat of fusion, and T is the temperature in Kelvin.
Given:
ΔH = 35 kJ/mol
T = 3422 °C = 3695 K
First, convert the heat of fusion from kJ/mol to J/mol:
ΔH = 35 kJ/mol * 1000 J/1 kJ = 35,000 J/mol
Now we can plug in the values into the formula:
ΔS = 35,000 J/mol / 3695 K
Calculating ΔS:
ΔS ≈ 9.47 J/(mol·K)
Therefore, the entropy change associated with the melting of one mole of tungsten is approximately 9.47 J/(mol·K).