![]() ![]() Where V 1 and V 2 are the initial and final volume after the process. Work done in an adiabatic process is defined by: W V 1 V 2 P.dV. ![]() It is represented mathematically as: PV constant. Work done in the adiabatic process is given by. CONCEPT: Adiabatic process: It is a process in which no heat is exchanged between the system and the surrounding i.e. Calculate the final temperature, the work done, and the change in internal energy when 0.0400 moles of CO at 25.0 o C undergoes a reversible adiabatic expansion from 200. What is the formula of the work done for the adiabatic process Post Answer. Note: We can also derive the expression for the work done by graphical method using a PV curve for the change in pressure and volume during an adiabatic expansion, then the area under the curve will give us the required work done. The equation indicates that, during rapid expansion (i.e., dV/dt > 0), the pressure exerted by the gas on the surroundings is less than that given by the ideal gas law, while, during rapid compression (i.e., dV/dt < 0), the pressure exerted by the gas on the surroundings is greater than that given by the ideal gas law. According to the definition of an adiabatic process, Uwad. W R 1 T2 T1 This is the equation for work done in adiabatic expansion. So the gas pressure on the piston face depends both on the amount of volume change and on the rate of volume change. But, at the interface with the surroundings, the force per unit area exerted by the gas on the interface always exactly matches the pressure of the surroundings, which is usually referred to as $P_$$ where k is a positive quantity related to the viscosity of the gas. For an irreversible process, the pressure of the gas within the system is typically non-uniform spatially, and so there is no unique value that can be used in conjunction with the ideal gas law to calculate the work.
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