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At what temperature can we no longer tell the difference between the liquid and gas phases?
A
100 °C
B
200 °C
C
400 °C
D
800 °C
E
820 °C
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1
Understand that the temperature at which the liquid and gas phases become indistinguishable is called the critical temperature, \(T_c\). This is the highest temperature at which a substance can exist as a liquid, regardless of pressure.
Examine the phase diagram provided, which plots pressure versus temperature and shows the boundary lines between solid, liquid, and gas phases. Identify the critical point where the liquid-gas boundary ends.
Note that at the critical point, the properties of the liquid and gas phases converge, meaning the densities become equal and the meniscus disappears. This point marks the critical temperature \(T_c\) and critical pressure \(P_c\).
Use the graph to locate the critical point coordinates. The temperature coordinate of this point corresponds to the critical temperature, which can be read directly from the temperature axis.
Express the critical temperature symbolically as \(T_c\), and recognize that this temperature is the answer to the question. From the graph, this value is approximately \(820\ ^\circ\mathrm{C}\), indicating the temperature above which liquid and gas phases cannot be distinguished.