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Chapter 12: Problem 46

Can \(\mathrm{SO}_{2}\) be maintained as a liquid under a pressure of 100 atm at \(0^{\circ} \mathrm{C} ?\) Can liquid methane be obtained under the same conditions?

Short Answer

Expert verified
Under a pressure of 100 atm at \(0^{\circ} \mathrm{C}\), \(\mathrm{SO}_{2}\) remains a gas while methane turns into a solid.

Step by step solution

01

Consulting the Phase Diagram of Sulfur Dioxide

First, we need to refer to the phase diagram of sulfur dioxide (\(\mathrm{SO}_{2}\)). From the phase diagram, it can be determined whether \(\mathrm{SO}_{2}\) can stay in the liquid phase under the given conditions: a pressure of 100 atm and a temperature of \(0^{\circ} \mathrm{C}\).
02

Analyzing the Phase Diagram of Sulfur Dioxide

Upon analyzing the SO2 phase diagram, we find that under the given conditions (100atm and \(0^{\circ} \mathrm{C}\) ) \(\mathrm{SO}_{2}\) stays in a gaseous state.
03

Consulting the Phase Diagram of Methane

Next, the phase diagram for methane (\(\mathrm{CH}_{4}\)) is consulted to evaluate whether methane can exist as a liquid under the same conditions.
04

Analyzing the Phase Diagram of Methane

The point representing 100 atm and \(0^{\circ} \mathrm{C}\) in the methane's phase diagram falls into the solid region. Thus methane exists as a solid under these conditions.

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