Chemical Engineering Basics

Q1: Internal energy of a gas obeying Vanderwall's equation of state, , depends upon its

A pressure & temperature.

B pressure & specific volume.

C temperature & specific volume.

D temperature only.

ANS:A - pressure & temperature.

The internal energy of a gas obeying the Van der Waals equation of state depends upon its temperature only. The Van der Waals equation of state accounts for the non-ideal behavior of real gases by incorporating correction terms for the volume occupied by the gas molecules and the intermolecular forces between them. However, it does not directly include terms related to the internal energy of the gas. Internal energy is a thermodynamic property of a substance that represents the total energy associated with the random motion of its molecules and their interactions. In the case of an ideal gas, the internal energy depends solely on the temperature of the gas, as described by the ideal gas law. In general, for real gases, the internal energy can be influenced by temperature changes, which affect the average kinetic energy of the gas molecules, but it is not directly affected by pressure or specific volume changes, which primarily influence the macroscopic behavior of the gas rather than its microscopic energy state. Therefore, the correct answer is temperature only.



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