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If a plot is drawn between P/V on the vertical axis and the mass of a gas on the horizontal axis for various gases, what will the graph look like?

1. A horizontal straight line for every gas
2. A straight line through the origin with the same slope for every gas
3. A straight line through the origin with different slopes for different gases
4. A vertical straight line for every gas

Correct answer: A straight line through the origin with different slopes for different gases

Solution

From PV = (m/M)RT, P (or P/V) is linear in mass m through the origin, with slope proportional to 1/M. Different gases have different M, so it is a straight line through the origin with different slopes for different gases.

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