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Outrageous
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For ideal gas , can I assume Cv dT = nkT (3/2)
, thank you
, thank you
No. Molar heat capacity, Cv = 3R/2 only for ideal monatomic gases. You are also mixing temperature change with temperature here.Outrageous said:For ideal gas , can I assume Cv dT = nkT (3/2)
, thank you
Andrew Mason said:No. Molar heat capacity, Cv = 3R/2 only for ideal monatomic gases. You are also mixing temperature change with temperature here.
Using molar heat capacity 3R/2 for a monatomic ideal gas:
[itex]\int_{Ti}^{Tf} nC_vdT = \frac{3}{2}nR(T_f - T_i) = \frac{3}{2}nR\Delta T = \frac{3}{2}Nk\Delta T[/itex]
AM
Internal energy is the total energy contained within a system, including both kinetic and potential energy.
Average kinetic energy is the average amount of energy possessed by particles in a system due to their motion.
According to the kinetic theory of gases, the internal energy of a system is equal to the sum of the average kinetic energies of all the particles in the system.
Understanding this relationship can help scientists and engineers better understand and predict the behavior of systems, such as gases, and how they respond to changes in temperature and pressure.
The internal energy of a system can be calculated using the first law of thermodynamics, which states that the change in internal energy is equal to the heat added to the system minus the work done by the system. Average kinetic energy can be calculated using the kinetic energy equation, which is 1/2 * mass * velocity^2.