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Thermodynamics

Question
CBSEENCH11006289

Define third law of thermodynamics. Give its molecular interpretation. What is the most important application of this law?

Solution

Third law of thermodynamics states: “The entropy of all perfectly crystalline solids may be taken as zero at absolute zero.”
Molecular interpretation: Entropy is a measure of disorder. Thus, at absolute zero a perfectly crystalline solid has a perfect order of its constituent particles i.e. there is no disorder at all. Hence absolute entropy is taken as zero.
Application. It helps in the calculation of the absolute entropies of the substances at room temperature (or at any temperature T). A simplified expression for the absolute entropy of solids at temperature T is given by,
straight S space equals space integral subscript 0 superscript straight T straight C subscript straight p space dT over straight T space equals space straight C subscript straight p dln space straight T
space space space space equals space straight C subscript straight p ln space straight T
space space equals 2.303 space straight C subscript straight p space log space straight T
where Cp is the heat capacity of the substance at constant pressure.