At Low Temperatures, the Heat Capacity of Some Metals Has

question 1

Multiple Choice

At low temperatures, the heat capacity of some metals has been found to follow a modified version of the Debye T³ law, varying with temperature according to the relationship
C_p.m=aT³+bT
With the additional, linear term arising from the electrons. Derive an expression for the molar entropy of such a metal at a low temperature T.

• A) S(T)=⅓aT²
• B) S(T)=aT²+bT
• C) S(T)=⅓aT²+bT
• D) bT

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Definitions:

Sample

A subset of a population selected for measurement, observation, or questioning to provide statistical information about the whole.

Mean

Mean is the average of a set of numbers, calculated by dividing the sum of all values in the set by the number of values.

Standard Error

Estimates the variability of sample mean measurements around the population mean, indicating the precision of the sample mean as an estimate of the population mean.

Confidence Interval

Values derived from sample analyses, that fall within a range likely to encompass the parameter of an unseen population.