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Question

Heat is supplied to a solid material at a constant rate. The variation of temperature of the material with heat input is as shown in the figure.The slope of DE represents


A
Latent heat of liquid
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B
Latent heat of vaporization
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C
Heat capacity of vapour
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D
Inverse of heat capacity of vapour
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Solution

The correct option is D Inverse of heat capacity of vapour
Let us assume c to be heat capacity of vapour.
We know from the definition of heat capacity that,
dQ=cdT
dTdQ=1c = Slope of TQ graph.
where Q is the heat input and T is the temperature.
In the given graph, AB and BC represent the phase changes in solid material. At AB, the solid material converts into liquid and at BC, it converts into vapour.
i.e in part DE, the material is in vapour state.
Hence, we can conclude that the slope of TQ graph at DE represents the inverse of the heat capacity of vapour.
Thus, option (d) is the correct answer.

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