Calc based physics thermodynamics

In summary, to find the integral of dv in the equation W = -integral Pdv, you need to consider the process path and use the appropriate function for pressure in relation to volume. This can be determined by using the ideal gas law.
  • #1
lukasz08
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hi. i was wondering on how to do this integral. W= - integral Pdv. what is the integral of dv ?
 
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  • #2
lukasz08 said:
hi. i was wondering on how to do this integral. W= - integral Pdv. what is the integral of dv ?

It depends on the process path. If you assume it is a constant pressure process, then the boundary work is just [itex]W_b = P(V_2 - V_1) [/itex].

CS
 
  • #3
You integrate the pressure with respect to volume. Depending on the process (isobaric, isochoric, isothermal, isentropic) this function (p = f(v)) will be different. These functions can be derived using the ideal gas law.
 

1. What is the difference between heat and temperature in thermodynamics?

In thermodynamics, heat is a form of energy that is transferred from one object to another due to a difference in temperature. Temperature, on the other hand, is a measure of the average kinetic energy of the particles in a substance. So, heat is the energy that is transferred, while temperature is a measure of the intensity of heat.

2. How is the first law of thermodynamics applied in calc based physics?

The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed, only transferred or transformed. In calc based physics, this law is applied to calculate the work done by a system, the change in internal energy, and the heat transferred in a thermodynamic process.

3. What is an adiabatic process in thermodynamics?

An adiabatic process in thermodynamics is one in which there is no heat transfer between the system and its surroundings. This means that the change in internal energy of the system is equal to the work done on the system. Adiabatic processes are often used in the analysis of thermodynamic systems, such as in the study of engine cycles.

4. How do you calculate the efficiency of a thermodynamic cycle?

The efficiency of a thermodynamic cycle is calculated by dividing the work output of the cycle by the heat input. This can be represented by the equation efficiency = work output / heat input. The efficiency of a cycle is always less than 1, as some energy is always lost due to factors such as friction and heat transfer.

5. What is the difference between an isothermal and an adiabatic process?

In an isothermal process, the temperature of the system remains constant, while in an adiabatic process, there is no heat transfer between the system and its surroundings. This means that an isothermal process can only occur if there is a constant heat source or sink, while an adiabatic process can occur in an isolated system. Additionally, the work done in an adiabatic process is usually greater than in an isothermal process due to the absence of heat transfer.

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