At which one of the following temperature pressure conditions, the deviation of a gas from ideal behavior is expected to be minimum?

Options

A. 350 K and 3 atm
B. 550 K and 1 atm
C. 250 K and 4 atm
D. 450 K and 2 atm

Explanation

To determine the conditions of temperature and pressure at which the deviation of a gas from ideal behavior is expected to be minimum, we can follow these steps:

### Step 1: Understand Ideal Gas Behavior
Ideal gases follow the ideal gas law, which is represented by the equation \( PV = nRT \). In this equation:
- \( P \) = pressure
- \( V \) = volume
- \( n \) = number of moles
- \( R \) = universal gas constant
- \( T \) = temperature

Real gases deviate from this behavior under certain conditions, particularly at high pressures and low temperatures.

### Step 2: Analyze Low Pressure Conditions
At very low pressures:
- The volume available to the gas molecules is large.
- The intermolecular forces (attractive forces) become negligible.
- The real gas equation can be simplified to the ideal gas equation since the terms accounting for molecular volume and intermolecular attraction can be ignored.

### Step 3: Analyze High Temperature Conditions
At very high temperatures:
- The kinetic energy of the gas molecules is high, which means they move rapidly.
- The volume occupied by the gas molecules becomes insignificant compared to the total volume of the gas.
- The attractive forces between the molecules become negligible, allowing the gas to behave more ideally.

### Step 4: Identify Optimal Conditions
From the analysis:
- The conditions for a gas to behave ideally are low pressure and high temperature.
- Therefore, the optimal conditions for minimum deviation from ideal behavior are low pressure and high temperature.

### Step 5: Conclusion
Based on the given options, we need to identify the conditions that represent low pressure and high temperature. If the options include a low pressure (e.g., 1 atm or lower) and a high temperature (e.g., 550 K), then that would be the correct answer.

### Final Answer
The correct option will be the one that indicates low pressure and high temperature, which is option B.

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