Heat transferred during an infinitesimal quasi static process of an ideal gas

In summary, the heat transfer for an infinitesimal quasi static process of an ideal gas can be calculated using the equations dQ = (Cv/nR)(VdP) + (Cp/nR)(PdV), where dQ is the change in heat, Cv is the heat capacity at constant volume, n is the number of moles of gas, R is the ideal gas constant, Cp is the heat capacity at constant pressure, V is volume, and P is pressure. To solve, equate the equations dQ= Cv*dT + PdV and dQ= Cp*dT - VdP and find dT.
  • #1
jrklx250s
15
0

Homework Statement


Show that the heat transferred during an infinitesimal quasi static process of an ideal gas can be written as

dQ = (Cv/nR)(VdP) + (Cp/nR)(PdV)
where dQ = change in heat
Cv= heat capacity while volume is constant
n= number of moles of gas
R= ideal gas constant
Cp= heat capacity while pressure is constant
V = volume, dV = change in volume
P= Pressure, dP = change in pressure



Homework Equations





The Attempt at a Solution


Alright so this I honestly had no idea how to start since this is a quasi-static process
We must use these equations

dQ= Cv*dT + PdV
dQ= Cp*dT - VdP

where dT is change in temperature since this is not adiabatic we cannot rule out temperature

Any suggestions where to go from here ?
 
Physics news on Phys.org
  • #2
jrklx250s said:
We must use these equations

dQ= Cv*dT + PdV
dQ= Cp*dT - VdP

where dT is change in temperature since this is not adiabatic we cannot rule out temperature

Any suggestions where to go from here ?

Find dT by equating the equations for dQ.

ehild
 

1. What is heat transfer during an infinitesimal quasi static process?

Heat transfer during an infinitesimal quasi static process is the transfer of thermal energy between a system and its surroundings as the system undergoes a very small and slow change in state. This type of process is often used to analyze the behavior of ideal gases.

2. How is heat transferred during an infinitesimal quasi static process?

Heat is transferred during an infinitesimal quasi static process through the exchange of energy between the system and its surroundings. This can occur through conduction, convection, or radiation, but in the case of an ideal gas, it is primarily through changes in temperature and pressure.

3. What is an ideal gas?

An ideal gas is a theoretical gas that follows the gas laws at all temperatures and pressures. It is assumed to have no intermolecular forces or volume, and its molecules are considered to be point masses. This simplification allows for easier analysis of gas behavior.

4. Why is an infinitesimal quasi static process used to analyze ideal gases?

Infinitesimal quasi static processes are used to analyze ideal gases because they allow for precise calculations and predictions of the behavior of the gas. The slow and small changes in state make it easier to apply the gas laws and simplify the analysis of the system.

5. What are some real-world applications of heat transfer during an infinitesimal quasi static process of an ideal gas?

Some real-world applications of heat transfer during an infinitesimal quasi static process of an ideal gas include the analysis and design of engines, turbines, and other thermodynamic systems. This process is also used in the study of atmospheric and oceanic movements, as well as in the development of refrigeration and air conditioning systems.

Similar threads

I Graphical difference between adiabatic and isothermal processes.
    • Thermodynamics
Replies
1
Views
620
DeltaG and DeltaA calculation for heating a gas at constant volume
    • Advanced Physics Homework Help
Replies
3
Views
930
How is entropy affected in a reversible process for an ideal gas?
    • Advanced Physics Homework Help
Replies
3
Views
1K
How to Derive PdV=RdT/(1-δ) from the Polytropic Process Constant Equation?
    • Advanced Physics Homework Help
Replies
3
Views
2K
I Focus Problem for Entropy Change in Irreversible Adiabatic Process
    • Thermodynamics
2
Replies
56
Views
3K
I Derivation of ideal gas heat capacity relationship
    • Classical Physics
Replies
6
Views
778
Finding ##U## given information about an adiabatic process (Callen)
    • Advanced Physics Homework Help
Replies
5
Views
1K
I Heat capacity for a real gas using the ideal gas (zero pressure) equation
    • Thermodynamics
Replies
32
Views
2K
I Irreversible adiabatic processes & entropy change (clarification needed)
    • Thermodynamics
Replies
22
Views
2K
Compression of an ideal gas
    • Advanced Physics Homework Help
Replies
4
Views
9K

Hot Threads

Recent Insights

Back
Top