Proving Specific Enthelpy = Specific Internal Energy

  • Context: Undergrad 
  • Thread starter Thread starter v_pino
  • Start date Start date
  • Tags Tags
    Specific
Click For Summary
SUMMARY

For an ideal gas, the specific enthalpy (h) at constant pressure is defined as the sum of the specific internal energy (u) and the product of pressure (P) and specific volume (v). The relationship can be expressed as h = u + Pv. To prove that specific enthalpy equals specific internal energy at constant pressure, one must manipulate the equations involving internal energy and the gas constant. The discussion highlights the importance of understanding these thermodynamic relationships to derive specific internal energy accurately.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically the concepts of specific enthalpy and specific internal energy.
  • Familiarity with the ideal gas law and its implications.
  • Knowledge of the relationship between pressure, volume, and temperature in gases.
  • Basic algebraic manipulation skills to rearrange equations.
NEXT STEPS
  • Study the derivation of the ideal gas law and its applications in thermodynamics.
  • Learn about the first law of thermodynamics and its implications for internal energy.
  • Research the concept of specific heat capacities and their role in thermodynamic processes.
  • Explore advanced topics in thermodynamics, such as Maxwell's relations and their applications.
USEFUL FOR

Students and professionals in thermodynamics, mechanical engineers, and anyone studying the properties of ideal gases and their energy relationships.

v_pino
Messages
156
Reaction score
0
I read that for an ideal gas, the specific enthalpy (h) at constant pressure is equal to the specific internal energy of the gas. How do I proof that?

I know that:

1.) specific enthalpy = specific internal energy + pressure x specific volume

2.) Internal energy at constant pressure = mass of gas x capacity x change in tempt. + (pressure x volume of gas)

3.) pressure x specific volume = gas constant x temperature

How do I obtain specific internal energy? Do I simply divide both sides by (m)?

How do I proceed on after I've obtained specific internal energy?
 
Science news on Phys.org
v_pino said:
I read that for an ideal gas, the specific enthalpy (h) at constant pressure is equal to the specific internal energy of the gas.

Where did you read this? It doesn't sound right, as written.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 13 ·
Replies
13
Views
4K
Replies
2
Views
3K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K