how much energy is required to vaporize 1.5 kg of copper?

7095 kJ APEX :) !!

q = mass Cu x heat vaporization

To determine the energy required to vaporize 1.5 kg of copper, there are a few steps you need to follow.

Step 1: Find the specific heat capacity of copper at its melting point:
The specific heat capacity (c) at the melting point is required to calculate the heat energy required to reach the melting point. For copper, the specific heat capacity at its melting point is approximately 0.39 kJ/kg·K.

Step 2: Calculate the heat energy required to raise the temperature of copper to its melting point:
The heat energy (Q) required to raise the temperature can be calculated using the formula:

Q = mcΔT,

where:
Q = heat energy (in joules)
m = mass of copper (in kg)
c = specific heat capacity of copper at melting point (in J/kg·K)
ΔT = temperature change

Assuming room temperature is around 25°C (298 K) and the melting point of copper is 1085°C (1358 K), the temperature change would be:

ΔT = 1358 K - 298 K = 1060 K.

Using the given mass of 1.5 kg and the specific heat capacity of copper at its melting point (0.39 kJ/kg·K or 390 J/kg·K), the calculation would be:

Q = (1.5 kg) * (390 J/kg·K) * (1060 K) = 724,500 J or approximately 724.5 kJ.

Therefore, it would require approximately 724.5 kJ of heat energy to raise the temperature of 1.5 kg of copper to its melting point.

Step 3: Calculate the heat energy required for the phase change from solid to liquid:
The heat energy required for the phase change from solid to liquid, also known as latent heat of fusion, can be found in reference books or online. For copper, the latent heat of fusion is approximately 205 kJ/kg.

Using the given mass of 1.5 kg, the latent heat of fusion (205 kJ/kg), the calculation would be:

Q = (1.5 kg) * (205 kJ/kg) = 307.5 kJ.

Therefore, it would require approximately 307.5 kJ of heat energy to vaporize 1.5 kg of copper.

Step 4: Sum up the energy required for heating and phase change:
To get the total energy required to vaporize 1.5 kg of copper, you need to sum up the energy required for heating and phase change:

Total energy = heat energy required for heating + heat energy required for phase change
Total energy = 724.5 kJ + 307.5 kJ
Total energy = 1032 kJ

Therefore, approximately 1032 kJ of energy is required to vaporize 1.5 kg of copper.

To calculate the energy required to vaporize a certain mass of a substance, we need to use the formula:

Q = m × Hv

where:
Q is the energy required (in Joules),
m is the mass of the substance (in kilograms),
Hv is the specific heat of vaporization (in Joules per kilogram).

The specific heat of vaporization is the amount of energy required to change one kilogram of a substance from a liquid to a gas at its boiling point. For copper, the specific heat of vaporization is approximately 300,000 Joules per kilogram (J/kg).

In this case, you want to find the energy required to vaporize 1.5 kg of copper. Thus, you can use the formula:

Q = 1.5 kg × 300,000 J/kg

Calculating this equation will give us the answer.