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Outrageous

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For ideal gas , can I assume Cv dT = nkT (3/2)

, thank you

, thank you

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- Thread starter Outrageous
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In summary, for an ideal gas, the molar heat capacity, Cv, is equal to 3R/2 only for ideal monatomic gases. Additionally, using this value for Cv, the integral of nCv dT from initial temperature, Ti, to final temperature, Tf, can be simplified to (3/2)NkΔT, where N is the number of particles and k is the Boltzmann constant.

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Outrageous

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For ideal gas , can I assume Cv dT = nkT (3/2)

, thank you

, thank you

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Andrew Mason

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No. Molar heat capacity, Cv = 3R/2 only for idealOutrageous said:For ideal gas , can I assume Cv dT = nkT (3/2)

, thank you

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

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Outrageous

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Andrew Mason said:No. Molar heat capacity, Cv = 3R/2 only for idealgases. You are also mixing temperature change with temperature here.monatomic

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

Thanks for compact explanation.

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.

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