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Answer the following questions: (a) If $\mathrm{XX}$ behaved as an ideal gas, what would its graph of $\mathrm{Z}$ vs. P look like? (b) For most of this chapter, we...

Question

Answer the following questions: (a) If $\mathrm{XX}$ behaved as an ideal gas, what would its graph of $\mathrm{Z}$ vs. P look like? (b) For most of this chapter, we performed calculations treating gases as ideal. Was this justified? (c) What is the effect of the volume of gas molecules on $\mathrm{Z}$ ? Under what conditions is this effect small? When is it large? Explain using an appropriate diagram. (d) What is the effect of intermolecular attractions on the value of $\mathbf{Z}$ ? Under what

Answer the following questions: (a) If $\mathrm{XX}$ behaved as an ideal gas, what would its graph of $\mathrm{Z}$ vs. P look like? (b) For most of this chapter, we performed calculations treating gases as ideal. Was this justified? (c) What is the effect of the volume of gas molecules on $\mathrm{Z}$ ? Under what conditions is this effect small? When is it large? Explain using an appropriate diagram. (d) What is the effect of intermolecular attractions on the value of $\mathbf{Z}$ ? Under what conditions is this effect small? When is it large? Explain using an appropriate diagram. (e) In general, under what temperature conditions would you expect $Z$ to have the largest deviations from the $Z$ for an ideal gas?



Answers

Consider an ideal gas at 27$^\circ$C and 1.00 atm. To get some idea how close these molecules are to each other, on the average, imagine them to be uniformly spaced, with each molecule at the center of a small cube. (a) What is the length of an edge of each cube if adjacent cubes touch but do not overlap? (b) How does this distance compare with the diameter of a typical molecule? (c) How does their separation compare with the spacing of atoms in solids, which typically are about 0.3 nm apart?


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