Which of the following is true for the critical point of a real gas?a. The values of PC, VC and ZC for any gas depend on temperature.b. The system undergoes large fluctuations.c. This temperature is higher than the Boyle temperature.d. The compressibility factor ZC is larger than 1
Question
Which of the following is true for the critical point of a real gas?a. The values of PC, VC and ZC for any gas depend on temperature.b. The system undergoes large fluctuations.c. This temperature is higher than the Boyle temperature.d. The compressibility factor ZC is larger than 1
Solution
The correct answer is b. The system undergoes large fluctuations.
Here's why:
a. The values of PC, VC and ZC for any gas do not depend on temperature. They are constants for a particular gas and are used to characterize the gas.
b. At the critical point, the system undergoes large fluctuations. This is because at the critical point, the gas and liquid states of a substance become indistinguishable. This leads to large fluctuations in properties such as density.
c. The critical temperature is not necessarily higher than the Boyle temperature. The Boyle temperature is the temperature at which a gas's behavior approximates that of an ideal gas over a wide range of pressures. This can be above or below the critical temperature depending on the gas.
d. The compressibility factor ZC at the critical point is not larger than 1. In fact, for all gases, it is approximately equal to 0.27-0.30 at the critical point. This is a result of the fact that at the critical point, real gases behave very differently from ideal gases.
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