At $273 K$ a gas has $Z = 1.0010$ at $1 atm$ and $Z = 0.9990$ at a different pressure $P_{2}$ , both in the low-pressure region where $Z$ is linear in $P$ . Which statement is necessarily correct?

AThe gas is above its Boyle temperature
BThe gas is below its Boyle temperature
CThe data are inconsistent with a linear $Z$ versus $P$ relation passing through $Z = 1$ at $P = 0$
D $P_{2}$ is greater than $1 atm$

Answer: C

Z = 1 + B^{'} P

with a single sign of

B^{'}

Z - 1

must have the same sign at every positive pressure. A value above 1 at one pressure and below 1 at another is impossible in the linear region, so the data contradict the assumption. No conclusion about

T_{B}

P_{2}

can be drawn.

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At 273 K a gas has Z=1.0010 at 1 atm and Z=0.9990 at a different pressure P2​, both in the low-pressure region where Z is linear in P. Which statement is necessarily correct?

Answer: C

More questions on Deviation from ideal behaviour and compressibility factor

At $273 K$ a gas has $Z = 1.0010$ at $1 atm$ and $Z = 0.9990$ at a different pressure $P_{2}$ , both in the low-pressure region where $Z$ is linear in $P$ . Which statement is necessarily correct?