Ideal gas particles are assumed to be volume less and to neither attract nor repel each other. Why are these assumptions crucial to the validity of Dalton’s law of partial pressures?

The assumptions of ideal gas particles being volumeless and having no interactions are crucial to the validity of Dalton's Law of Partial Pressures because they simplify the behavior of gas particles, allowing scientists to predict and calculate gas properties. By assuming gas particles have no volume and interactions, we can treat each particle independently and simply add their partial pressures together, without any complications due to their size or interaction, to get the total pressure as described by Dalton's Law: \(P_{total} = P_1 + P_2 + \cdots + P_n\). Without these assumptions, accurately predicting the total pressures of mixed gases using Dalton's Law would be much more difficult.