Compute the entropy of a mole of helium at room

Chapter 2, Problem 39P

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QUESTION:

Problem 39P

Compute the entropy of a mole of helium at room temperature and atmospheric pressure, pretending that all the atoms are distinguishable. Compare to the actual entropy, for indistinguishable atoms, computed in the text.

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QUESTION:

Problem 39P

Compute the entropy of a mole of helium at room temperature and atmospheric pressure, pretending that all the atoms are distinguishable. Compare to the actual entropy, for indistinguishable atoms, computed in the text.

ANSWER:

Step 1

We have to find the entropy of helium atom at room temperature and atmospheric pressure.

The entropy of an ideal gas is given by

where V is the volume

U is the energy

N is the number of molecules

m is the mass of a single molecule

 h is Planck’s constant.

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