A 40 kg sample of ALUMINUM is undergoing SUBLIMATION. How much does the temperature change during this process?
To determine the temperature change during sublimation, we need to know the specific heat capacity and the heat of sublimation of aluminum.
1. Specific Heat Capacity: The specific heat capacity (c) is the amount of heat energy required to raise the temperature of a substance by 1 degree Celsius. The specific heat capacity of aluminum is approximately 0.897 J/g°C.
2. Heat of Sublimation: The heat of sublimation (ΔH) is the amount of heat required to convert a substance from a solid directly into a gas (or vice versa) without going through the liquid phase. The heat of sublimation of aluminum is approximately 10.7 kJ/mol.
Let's assume that the sublimation process occurs at a constant temperature and atmospheric pressure.
To calculate the temperature change during sublimation, we'll use the formula:
q = m * ΔH
where:
q is the heat energy absorbed or released during the sublimation process,
m is the mass of the aluminum sample, and
ΔH is the heat of sublimation.
First, let's convert the mass of aluminum from kg to grams:
40 kg * 1000 g/kg = 40,000 g
Now, we can calculate the heat energy (q) absorbed or released during the sublimation process:
q = 40,000 g * 10.7 kJ/mol ≈ 428,000 kJ
However, since we want to determine the temperature change, we need to divide the heat energy (q) by the specific heat capacity (c):
ΔT = q / (m * c)
ΔT = 428,000 kJ / (40,000 g * 0.897 J/g°C)
ΔT ≈ 11.9°C
Therefore, during the sublimation process of a 40 kg sample of aluminum, the temperature would change by approximately 11.9°C.