When is deviation more in the behaviour of a gas from the ideal gas equation `PV=nRT`?

Options

A. At high temperature and low pressure
B. At low temperature and high pressure
C. At high temperature and high pressure
D. At low temperature and low pressure

Explanation

To determine when the deviation of a gas from the ideal gas equation \(PV = nRT\) is more pronounced, we can analyze the conditions under which real gases behave differently from ideal gases.

### Step-by-Step Solution:

1. **Understanding the Ideal Gas Law**:
The ideal gas law is represented by the equation \(PV = nRT\), where:
- \(P\) = pressure of the gas
- \(V\) = volume of the gas
- \(n\) = number of moles of the gas
- \(R\) = universal gas constant
- \(T\) = temperature of the gas in Kelvin

2. **Conditions for Ideal Behavior**:
- Real gases behave like ideal gases under certain conditions, specifically at **high temperatures** and **low pressures**.
- At high temperatures, the kinetic energy of gas molecules increases, which helps overcome intermolecular forces.
- At low pressures, the volume of the gas increases, reducing the effect of intermolecular forces as the molecules are further apart.

3. **Conditions for Deviation**:
- Deviation from ideal behavior is more significant at **low temperatures** and **high pressures**.
- At low temperatures, the kinetic energy of gas molecules decreases, allowing intermolecular forces to have a more significant effect.
- At high pressures, the volume of the gas decreases, causing the molecules to be closer together, which increases the impact of intermolecular attractions and repulsions.

4. **Conclusion**:
- Therefore, the maximum deviation from the ideal gas behavior occurs at **low temperatures and high pressures**.

### Final Answer:
The deviation is more pronounced in the behavior of a gas from the ideal gas equation \(PV = nRT\ at low temperature and high pressure.

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