Question

What is the melting point in °C of 1.00 mol of H₂SO₄? (The ΔH fus is 10.7 kJ/mole and the ΔS fus is 37.8 J/K·mol.)

A) -283.0 °C
B) -273.0 °C
C) -263.0 °C
D) -253.0 °C

Answer 1

The calculated melting point of 1.00 mol of H₂SO₄ is 10 °C, but this result does not match any of the provided answer choices, suggesting a possible error in the question or answer choices.

Step-by-step explanation:

To determine the melting point of 1.00 mol of H₂SO₄, you can use the Gibbs free energy equation ΔG = ΔH - TΔS. For melting, ΔG equals zero at the melting point, so you can set up the equation as 0 = ΔHfus - TΔSfus. We're given that ΔHfus is 10.7 kJ/mol and ΔSfus is 37.8 J/K·mol. To find the temperature in Kelvin, divide ΔHfus by ΔSfus and then convert to Celsius. Calculation gives T = ΔHfus / ΔSfus = (10.7 kJ/mol) / (37.8 J/K·mol) = 283 K. To convert to Celsius, subtract 273 from the Kelvin temperature, which results in 10 °C. However, this is not an option provided in the answers, indicating there may be a typographical error in the question or the provided choices.