In which scenario does the ideal gas law (PV=nRT) fail to accurately predict gas

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Question: In which scenario does the ideal gas law (PV=nRT) fail to accurately predict gas behavior?

Options:

Correct Answer: Low temperature and high pressure

Solution:

The ideal gas law fails at low temperatures and high pressures where intermolecular forces and molecular volume become significant.

In which scenario does the ideal gas law (PV=nRT) fail to accurately predict gas behavior?

In which scenario does the ideal gas law (PV=nRT) fail to accurately predict gas behavior?

Step 1: Understand the ideal gas law, which is PV=nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
Step 2: Recognize that the ideal gas law assumes that gas particles do not attract or repel each other and that they occupy no volume.
Step 3: Identify the conditions where the ideal gas law may not work well: low temperatures and high pressures.
Step 4: At low temperatures, gas particles move slowly, and intermolecular forces (attraction or repulsion between particles) become significant.
Step 5: At high pressures, gas particles are forced closer together, and their actual volume cannot be ignored.
Step 6: Conclude that under these conditions (low temperature and high pressure), the assumptions of the ideal gas law break down, leading to inaccurate predictions of gas behavior.

Ideal Gas Law Limitations – The ideal gas law (PV=nRT) assumes no intermolecular forces and that gas particles occupy no volume, which is not true under certain conditions.
Real Gas Behavior – At low temperatures and high pressures, gases deviate from ideal behavior due to significant intermolecular forces and the volume occupied by gas molecules.