Question

Calculate the latent heat of fusion for 2.40 kg of coal as it undergoes the transition from a molten liquid state to a solid bar. Provide the numerical answer.

Answer 1

The latent heat of fusion for 2.40 kg of coal is calculated using the formula Q = m × Lf, which yields 5.832 × 10^6 J or 5832 kJ.

Step-by-step explanation:

To calculate the latent heat of fusion for 2.40 kg of coal as it changes from liquid to solid, we use the provided information that the latent heat for coal is 2430 J/g (or 2430 kJ/kg, since 1 kg = 1000 g). The formula for calculating the energy required for a phase change is Q = m × Lf, where m is the mass and Lf is the latent heat of fusion.

Given that the mass (m) is 2.40 kg, we need to convert it to grams by multiplying by 1000 (since 1 kg = 1000 g), which gives us 2400 g. Now we multiply the mass in grams by the latent heat of fusion (Lf):

Q = 2400 g × 2430 J/g

This yields Q = 5.832 × 10^6 J or 5832 kJ as the total energy required to solidify 2.40 kg of molten coal.