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Which of the following is true for both ideal and nonideal gasses:a. The energy of the gas depends only on temperature.b. If the energy of the gas increases, the enthalpy also necessarily increases.c. In an adiabatic expansion process, the energy of the gas necessarily decreases.d. In an isothermal process performed at the Boyle temperature,0E = necessarily

Question

Which of the following is true for both ideal and nonideal gasses:a. The energy of the gas depends only on temperature.b. If the energy of the gas increases, the enthalpy also necessarily increases.c. In an adiabatic expansion process, the energy of the gas necessarily decreases.d. In an isothermal process performed at the Boyle temperature,0E = necessarily

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Solution

The statement that is true for both ideal and non-ideal gases is:

a. The energy of the gas depends only on temperature.

Explanation: The internal energy of an ideal gas is a function of temperature only. This is based on the kinetic theory of gases, which assumes that the energy of a gas is solely due to the kinetic energy of its molecules, which depends on the temperature. For non-ideal gases, this is also generally true, although there can be additional factors (like intermolecular forces) that can also affect the energy. However, in general, the primary factor affecting the energy of both ideal and non-ideal gases is the temperature.

b. If the energy of the gas increases, the enthalpy also necessarily increases. This is not necessarily true. Enthalpy is a measure of the total energy of a thermodynamic system. It includes the internal energy, which is the energy required to create a system, and the amount of energy required to make room for it by displacing its environment and establishing its volume and pressure. An increase in the energy of the gas does not necessarily mean an increase in enthalpy.

c. In an adiabatic expansion process, the energy of the gas necessarily decreases. This is not necessarily true. In an adiabatic process, there is no heat exchange with the surroundings. The internal energy of the gas can change, but it does not necessarily decrease.

d. In an isothermal process performed at the Boyle temperature, 0E = necessarily. This statement is not clear due to the presence of symbols and it seems incomplete. However, in an isothermal process, the temperature remains constant. Boyle's law states that at constant temperature, the pressure and volume of a gas are inversely proportional. It doesn't necessarily relate to the change in energy of the gas.

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