[Solved] Water has a critical specific volume of 0.003155 m3/kg. A cl (2024)

As a seasoned expert in thermodynamics and fluid mechanics, I bring to the table a wealth of knowledge and hands-on experience in analyzing and solving complex problems related to the behavior of substances under different conditions. My expertise extends to understanding the principles governing mixtures, specific volumes, and the thermodynamic processes that occur within rigid containers.

Now, let's delve into the concepts embedded in the provided article, dissecting each element to provide a comprehensive understanding:

1. Critical Specific Volume (Vc):

   • This is a fundamental property in thermodynamics, denoted as Vc. It represents the specific volume of a substance at its critical point. In the context of the given question, Vc is explicitly provided as 0.003155 m³/kg.

2. Mixture Specific Volume (v):

   • The mixture specific volume, denoted as 'v,' is determined by the formula (\frac{{0.025}}{{10}}), resulting in 0.0025 m³/kg. This parameter signifies the volume occupied by a unit mass of the mixture.

3. Rigid Tank:

   • The question mentions a rigid tank, which implies that the total volume of the tank remains constant throughout the process. In thermodynamics, a rigid container restricts changes in volume, leading to specific consequences for the system.

4. State 1 and State 2:

   • The system undergoes a transformation from State 1 to State 2 due to the heating of the water mixture. As the volume is constant (rigid tank), the rise in temperature results in an increase in pressure.

5. Quality of the Mixture (X):

   • The quality of the mixture at State 1 is denoted as X1, and at State 2, it is denoted as X2. The given figure indicates that X2 < X1. Quality in thermodynamics refers to the fraction of the total mass that is in vapor phase. A lower quality at State 2 implies that there is more liquid in the mixture.

6. Liquid Level inside the Tank:

   • The article concludes that since the liquid at State 2 is more (X2 < X1), the level of liquid inside the tank will rise. This inference is derived from the understanding that the quality of the mixture is an indicator of the proportion of liquid and vapor phases.

In summary, the provided information revolves around the thermodynamic processes occurring in a rigid tank with a water mixture. Changes in temperature and pressure, along with the concept of specific volumes and mixture quality, are crucial elements in comprehending the system's behavior.