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Question

Which of the following options can always be approximated to be an ideal gas -

The correct answer is

Highly superheated vapour

This question asks to identify which state among the given options can consistently be treated as an ideal gas. Let's explore the conditions under which real gases behave ideally and analyze each option.

Understanding Ideal Gas Behaviour

An ideal gas is a theoretical gas model. Real gases approximate ideal gas behaviour under specific conditions:

  • High Temperature: Higher temperatures increase the kinetic energy of gas molecules, making intermolecular forces less significant compared to their kinetic energy.
  • Low Pressure: Lower pressures mean the gas molecules are spread further apart, reducing the effect of intermolecular attractions.

Under these conditions, the volume occupied by the molecules themselves is negligible compared to the total volume, and attractive forces between molecules are minimal. The ideal gas law, $PV = nRT$, describes this behaviour, where $P$ is pressure, $V$ is volume, $n$ is the number of moles, $R$ is the ideal gas constant, and $T$ is absolute temperature.

Analysing the Options for Ideal Gas Approximation

  1. Highly superheated vapour: A vapour is considered highly superheated when its temperature is significantly above the saturation temperature corresponding to its pressure. In this state, the molecules are far apart, and intermolecular forces are weak. These conditions (high temperature, relatively low effective density/pressure compared to saturation) closely match the requirements for ideal gas behaviour. Therefore, a highly superheated vapour can generally be approximated as an ideal gas.

  2. Dry saturated vapour: This is vapour that is just about to start condensing. It exists at the saturation temperature and pressure, meaning molecules are relatively close together, and intermolecular forces are significant. Consequently, it deviates considerably from ideal gas behaviour.

  3. Super critical fluid: A supercritical fluid exists beyond its critical temperature and pressure. In this state, the distinction between liquid and gas phases disappears. The density is high, and intermolecular forces are very significant, meaning it does not behave like an ideal gas.

  4. Saturated vapour: This category includes both dry saturated vapour and wet vapour (containing liquid droplets). In both cases, the substance is at its saturation temperature, where intermolecular interactions are strong, and the gas phase is close to condensation. Thus, saturated vapour does not approximate ideal gas behaviour.

Conclusion on Ideal Gas Approximation

Comparing the options, highly superheated vapour represents the state where molecules are sufficiently far apart and possess enough kinetic energy to minimize intermolecular interactions. This makes it the most suitable condition among the choices for approximating ideal gas behaviour.

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Important Questions from Ideal and Real Gases

  1. A perfect gas at 25°C is heated at constant pressure till its volume is doubled. The final temperature will be-

  2. Which of the following laws states that the volume of a gas is inversely proportional to the pressure of a gas?

  3. The internal energy of a perfect gas does not change during the-

  4. The ratio of specific heat of air at constant pressure to the specific heat of air at constant volume is equal to -

  5. A gas having a negative Joule-Thompson effect (μ < 0), when throttled will

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