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Isothermal process workdone
Isothermal process workdone









isothermal process workdone

  • For an Isochoric process equation connecting P, V and T gives.
  • All the heat given to the system has been used to increase the internal energy of the system.
  • When volume does not change no work is done, $\Delta W = 0$ and therefore from first law of Thermodynamics.
  • In an Isochoric process volume of the system remain uncharged throughout i.e.
  • Here is the P-V graph of an ideal gas for two adiabatic processes connected two isotherms
  • We can see the PV diagram of Isothermal Process and Adiabatic Process is similar.
  • PV diagram for the adiabatic Process is shown as below.
  • if an ideal gas undergoes a change in its state adiabatically from $(P_1, V_1)$ to $(P_2,V_2)$, we have.
  • For adiabatic process of ideal Gas, the relation between Pressure and Volume is given by.
  • Here internal energy of systems decreases resulting a drop in temperature.
  • If work is done by the system i.e., $\Delta W$ is negative.
  • $\Delta W$ is negative then.Īnd internal energy of system increases by an amount equal to the work done on it and temperature of system increases.
  • If work is done on the system contracts i.e.
  • In adiabatic process change in internal energy of a system is equal in magnitude to the work by the system.
  • On applying first law to adiabatic process we get.
  • Flow of heat requires finite time so if a process is perfomed very quickly then process will be practically adiabatic.
  • Prevention of heat flow can be accomplished by surrounding system with a thick layer of heat insulating material like cork, asbestos etc.
  • For every adiabatic process $\Delta Q=0$.
  • Process in which no heat enters or leaves a system is called an adiabatic process.
  • #Isothermal process workdone tv

    TV diagram for the Isothermal process is shown below.

    isothermal process workdone

  • PV diagram for the Isothermal process is shown below.
  • Heat added (or subtracted) from the system = work done by (or on) the system Therefore From First law of Thermodynamics
  • In isothermal process there is no change in temperature, since internal energy for an ideal gas depends only on temperature hence in isothermal process there is no change in internal energy.
  • I.e., pressure of given mass of gas varies inversely with its volume this is nothing but the Boyle's law.
  • For an isothermal process equation connecting P, V and T gives.
  • In isothermal process temperature of the system remains constant throughout the process.
  • The processes define below quasi-static processes only, except when stated otherwise.
  • are reasonably approximation to an ideal quasi-static process.
  • In practice, processes that are sufficiently slow and do not involve accelerated motion of the piston, large temperature gradient, etc.
  • Quasi static process is an idealized concept and its conditions can never be rigorously satisfied in practice.
  • During quasi-static process system at every moment is infinitesimally near the state of thermodynamic equilibrium.
  • Vanishingly slowness of the process is an essential feature of quasi-static process.
  • Consider a system in which gas is contained in a cylinder fitted with a movable piston then if the piston is pushed in a infinitely slow rate, the system will be in quiescent all the time and the process can be considered as quasi-static process.
  • All the states through which system passed during a quasi static process may be regarded as equilibrium states.
  • isothermal process workdone

    In Quasi static process deviation of system from it's thermodynamic equilibrium is infinitesimally small.











    Isothermal process workdone