Question:
Identify the conditions at which van der Waals equation of state changes to ideal gas equation.
Identify the conditions at which van der Waals equation of state changes to ideal gas equation.
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Ideal gas law applies when molecular interactions and volume effects are negligible.
Updated On: Jun 4, 2025
- High temperature and high pressure
- Low temperature and high pressure
- High temperature and low pressure
- Low temperature and low pressure
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The Correct Option is C
Solution and Explanation
Step 1: Understand van der Waals equation
The van der Waals equation accounts for molecular volume and intermolecular forces, making it more accurate than ideal gas law.
Step 2: Conditions for ideal gas approximation
At high temperature, molecules move faster, reducing effects of intermolecular forces.
At low pressure, molecules are far apart, making volume of molecules negligible.
Step 3: Conclusion
Hence, van der Waals equation approaches ideal gas law at high temperature and low pressure.
The van der Waals equation accounts for molecular volume and intermolecular forces, making it more accurate than ideal gas law.
Step 2: Conditions for ideal gas approximation
At high temperature, molecules move faster, reducing effects of intermolecular forces.
At low pressure, molecules are far apart, making volume of molecules negligible.
Step 3: Conclusion
Hence, van der Waals equation approaches ideal gas law at high temperature and low pressure.
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