Formula for specific latent heat of fusion isOptions:ALf = m/lfBlf = Lf/mCLf = lf/mDlf = Lfxm

To determine the correct formula for specific latent heat of fusion, we can analyze the options provided.

Break Down the Problem

1. Understand the Concept of Latent Heat: The specific latent heat of fusion (Lf) is defined as the amount of heat required to change a unit mass of a substance from solid to liquid at a constant temperature.

2. Identify Variables:

   • $L_f$: Specific latent heat of fusion
   • $m$: Mass of the substance
   • $Q$: Heat absorbed or released

Relevant Concepts

The specific latent heat of fusion can be mathematically expressed as:

$L_f = \frac{Q}{m}$

Where:

• $Q$ is the heat energy absorbed during the phase change.
• $m$ is the mass of the substance undergoing the phase change.

Analysis and Detail

Given the formula for latent heat of fusion: $L_f = \frac{Q}{m}$ It can be rearranged to represent other variables; however, it generally indicates the heat per unit mass.

Verify and Summarize

Let's analyze the options provided:

1. Option A: $L_f = \frac{m}{L_f}$ → This is incorrect as it rearranges the equation improperly.
2. Option B: $L_f = \frac{L_f}{m}$ → This is incorrect as it suggests that a mass-based approach is being used incorrectly.
3. Option C: $L_f = \frac{l_f}{m}$ → This lacks clarity and seems to confuse variables.
4. Option D: $L_f = L_f \times m$ → It is unclear as it does not follow proper unit analysis.

The correct form is directly like: $L_f = \frac{Q}{m}$

Final Answer

The correct expression that resembles our basic understanding and is consistent with the definition of specific latent heat of fusion is not listed clearly in the options. The correct expression should state:

$L_f = \frac{Q}{m}$

Hence, none of the provided options correctly express the specific latent heat of fusion.