The cooling curve of pure wax material after heating is...

The cooling curve of pure wax material after heating is shown in the figure. It first cools from $A$ to $B$ and solidifies along $B D$. The ratio of $L / C$, if $L$ and $C$ are respective values of specific latent heat of fusion and specific heat capacity of the liquid wax is : (Assume rate of heat loss remain constant) (a) 40 (b) 80 (c) 100 (d) 20

Key Concepts

Cooling Curve

A cooling curve is a graphical representation that shows how the temperature of a substance changes over time as it loses heat. It typically features regions where the temperature decreases steadily and plateaus where the temperature remains constant during a phase change.

Specific Heat Capacity

Specific heat capacity measures the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius (or Kelvin). It is an intrinsic property that influences how substances heat up or cool down during temperature changes.

Latent Heat of Fusion

Latent heat of fusion is the energy required to convert a unit mass of a substance from liquid to solid (or vice versa) at its melting point, without any change in temperature. This energy is absorbed or released during the phase change process.

Phase Change

Phase change refers to the transformation of a substance from one state of matter to another, such as liquid to solid. During this change, the temperature remains constant due to the absorption or release of latent heat, which is depicted as a plateau on a cooling curve.

Constant Rate of Heat Loss

The assumption of a constant rate of heat loss means that the energy is extracted from the substance at a uniform rate over time. This simplifies the relationship between the time intervals on the cooling curve and the amounts of energy removed during either sensible cooling or the phase change.

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