Thermodynamics: Entropy and specific heat

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SUMMARY

The discussion centers on the confusion surrounding entropy change calculations in thermodynamics, specifically comparing two formulas: one using moles of gas and the other using mass. The first formula is defined as ΔS = n (C_V ln(T2/T1) + R ln(V2/V1), while the second is ΔS = m (c_v ln(p2/p1) + c_p ln(V2/V1). The participant clarifies that the difference arises from the units of measurement—moles versus kilograms—and highlights the relationship between specific heats, noting that C_p - C_V = R and c_v = C_V/μ. This establishes a clear connection between the two approaches to calculating entropy change.

PREREQUISITES
  • Understanding of thermodynamic principles, particularly entropy.
  • Familiarity with specific heat capacities, C_V and C_p.
  • Knowledge of the ideal gas law and its implications.
  • Basic grasp of units in thermodynamics, including moles and mass.
NEXT STEPS
  • Study the derivation of entropy change formulas in thermodynamics.
  • Learn about the ideal gas law and its applications in calculating thermodynamic properties.
  • Explore the relationship between specific heats and their impact on entropy calculations.
  • Investigate the implications of using different units (moles vs. mass) in thermodynamic equations.
USEFUL FOR

Students and professionals in thermodynamics, mechanical engineers, and anyone seeking to deepen their understanding of entropy and specific heat calculations.

Pandris
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Hi here!

(before scriptum. Sorry for my lousy English and LaTex.)

I am a bit confused about entropy change statements:

In most textbooks is given:
[tex]\Delta S = n (C_V ln \frac{ \ T_{2}}{T_1} + R ln \frac{ \ V_{2}}{V_1})[/tex]

where n - moles of gas. And dimension of entropy is [J/K]

But now I have one book there entropy change is defined using specific heats:

[tex] \Delta S = m (c_v ln \frac{ \ p_{2}}{p_{1}} + c_p ln \frac{ \ V_{2}}{V_{1}})[/tex]

where m - mass of gass, and dimension is [J/(kmol*K)]

I can't understand where this isobaric specific heat gets here!

Ok, I understand that these entropies essentially are given for different measures of amount of gass. First is given for moles, but second for kilograms. (am I right??)

But how to involve specific heats there is obscure for me.

Thanks!
 
Last edited:
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Oh my!

Am I blind or what?!

Everything works out if take in mind that
[tex] C_p - C_V = R[/tex]
and

[tex] c_v = \frac { \ C_{V}}{ \mu}[/tex]

That's it! Sorry for buzzer!
 

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