CE Four liquids are at their freezing temperature. Heat is...

CE Four liquids are at their freezing temperature. Heat is now removed from each of the liquids until it becomes completely solidified. The amount of heat that must be removed, Q, and the mass, $m,$ of each of the liquids are as follows: liquid $\mathrm{A}, Q=33,500 \mathrm{J}, m=0.100 \mathrm{kg} ;$ liquid $\mathrm{B}, \quad Q=166,000 \mathrm{J}$ $m=0.500 \mathrm{kg} ;$ liquid $\mathrm{C}, Q=31,500 \mathrm{J}, m=0.250 \mathrm{kg} ;$ liquid $\mathrm{D},$ $Q=5400 \mathrm{J}, m=0.0500 \mathrm{kg} .$ Rank these liquids in order of increasing latent heat of fusion. Indicate ties where appropriate.

CE Four liquids are at their freezing temperature. Heat is now removed from each of the liquids until it becomes completely solidified. The amount of heat that must be removed, Q, and the mass, $m,$ of each of the liquids are as follows: liquid $\mathrm{A}, Q=33,500 \mathrm{J}, m=0.100 \mathrm{kg} ;$ liquid $\mathrm{B}, \quad Q=166,000 \mathrm{J}$
$m=0.500 \mathrm{kg} ;$ liquid $\mathrm{C}, Q=31,500 \mathrm{J}, m=0.250 \mathrm{kg} ;$ liquid $\mathrm{D},$
$Q=5400 \mathrm{J}, m=0.0500 \mathrm{kg} .$ Rank these liquids in order of increasing latent heat of fusion. Indicate ties where appropriate.

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Key Concepts

Latent Heat of Fusion

Latent heat of fusion is the amount of energy per unit mass that must be removed (during freezing) or added (during melting) to change a substance from the liquid phase to the solid phase (or vice versa) without changing its temperature. This concept is crucial in understanding phase transitions and the energy dynamics involved.

Specific Latent Heat Calculation

The specific latent heat is determined by dividing the total energy exchanged during the phase change (Q) by the mass (m) of the substance, as given by the equation L = Q/m. This calculation allows for a material-specific comparison of the energy required per kilogram to complete the phase change, independent of the sample size.

Phase Change Energy

During a phase change at constant temperature, the energy added or removed does not change the temperature of the substance but instead is used to overcome the intermolecular forces that hold the substance in its current phase. This energy is referred to as the latent heat, making it a fundamental concept in the study of thermodynamics and material properties.

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