A research team records the compressibility factor for neon gas at over a pressure…

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

A research team records the compressibility factor Z=PVnRTZ=\dfrac{PV}{nRT} for neon gas at 298 K298\,\text{K} over a pressure range from 1 atm1\,\text{atm} to 2000 atm2000\,\text{atm}. Their data show that Z<1Z<1 at moderate pressures (up to roughly 400 atm400\,\text{atm}) but rises well above unity as the pressure approaches 2000 atm2000\,\text{atm}. Answer the following questions about the observed behavior of neon gas. (a) Describe, in terms of molecular-level interactions, why ZZ drops below unity at moderate pressures for neon. (b) Explain why ZZ increases above unity at very high pressures and identify the dominant molecular property responsible for this upward deviation. (c) Sketch qualitatively the expected form of a ZZ versus PP plot (pressure on the horizontal axis, ZZ on the vertical axis) for neon at 298 K298\,\text{K}, clearly indicating the regions where attractive and repulsive effects dominate.

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