Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A syringe holds of air on a cold morning, when air has a density of . Its outlet is closed, and the plunger is pushed in until the air fills .
, in (and ). A thing floats on a liquid if its density is less than the liquid's. Squeezing a gas into less space makes it denser.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) The same particles fill less space, so they come closer together. This is possible because a gas has large spaces between its particles.
Step 2. (b) The mass is the same and the volume is times smaller, so the density is times larger: .
Step 3. (c) . Mass .
Answer: (a) closer together. (b) . (c) .
Check. After squeezing: , the same mass.
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