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Warm air has less pressure than cold air because it is less dense. As a gas is heated, its particles separate farther apart, making it less dense. Less dense gas creates less pressure.

That is incorrect. Think of a pressurized tank of air, cold it has 120psi as you heat the pressurized tank up the pressure increases. It is because the molecules when cold are tightly packed and not bumping into each other as much as when warm and moving around bumping into one another.

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