Heat Capacity: Units, Mols & Avogadro's Constant

Click For Summary
SUMMARY

The discussion centers on the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp), specifically the equation Cv = Cp - R, where R is the molar gas constant. The user seeks clarification on the units for Cp, which are correctly identified as kJ/kgK or can be expressed as kJ/kmol*K. The user also confirms that R is indeed the molar gas constant, and provides a calculation for Cp, concluding with a value of 50 J/K for a specific heat transfer scenario.

PREREQUISITES
  • Understanding of thermodynamic concepts, specifically heat capacity.
  • Familiarity with the units of energy and temperature, particularly Joules and Kelvin.
  • Knowledge of the ideal gas law and the significance of the gas constant (R).
  • Basic algebra for manipulating equations involving heat transfer.
NEXT STEPS
  • Study the derivation and applications of the heat capacity equations.
  • Learn about Avogadro's Constant and its role in molar calculations.
  • Explore the differences between Cp and Cv in various thermodynamic processes.
  • Investigate the implications of using different units for heat capacity in calculations.
USEFUL FOR

Students and professionals in chemistry and physics, particularly those studying thermodynamics, heat transfer, and gas laws.

jimmy42
Messages
50
Reaction score
0
I have the equation for heat capacity for constant volume and pressure.

Cv = Cp -R

So for Cp I have the units J/k and for R the units are J/k mol. So my question is related to that mol. Is it right that I need to get rid of that mol? if so how? Does it involve Avogadro's Constant? Or do I have the wrong units for Cp?

Thanks.
 
Physics news on Phys.org
The units for cp is kJ/kgK which can be rewritten as kJ/kmol*k. Although I know that R to be the gas constant and not the universal gas constant.
 
I have

Where Q is the energy as heat and dT is the change in temp in Kelvin.

Cp = Q/dT

Cp = 100J / 2K

Cp = 50 J/K

So, is that not right? R = molar gas constant.
 

Similar threads

Replies
5
Views
3K
Replies
12
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K