Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A strong L steel cylinder holds mol of carbon dioxide at K. A gauge shows that the absolute pressure inside is MPa. (a) What pressure would an ideal gas have? (b) Find for the real gas. (c) Which effect is winning, the size of the molecules or the pull between them? Explain.
Each gas in a mixture fills the whole volume. Its partial pressure is . The total pressure is the sum:
A real gas has below when the pull between molecules wins and above when their size wins.
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. The ideal pressure. First . Then Pa, that is MPa.
Step 2. The ratio. .
Step 3. Which effect? The real pressure is lower than the ideal one. The molecules pull on each other, so they hit the walls less hard. The pull is winning. Carbon dioxide molecules pull on each other strongly, which is why carbon dioxide turns into a liquid easily when it is squeezed.
Answer: MPa; ; the pull between the molecules wins.
Watch out. Using the ideal gas equation here would be wrong by . At this pressure, carbon dioxide is far from ideal.
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