Question

In: Mechanical Engineering

Can the quality be defined in the superheated vapor or compressed liquid regions?

Can the quality be defined in the superheated vapor or compressed liquid regions?

Solutions

Expert Solution

Quality is defined only for saturated mixtures (i.e. in the two phase region / saturated liquid and saturated vapour mixture region). It's defined as the ratio of mass of vapour to the mass of total mixture. Therefore, any state point on the saturated liquid line will have a quality 0 and any state point on the saturated vapour line will have a quality 1, and at all the intermediate points will have quality between 0 and 1.

We know, according to the state postulate, state of a simple compressible system can be completely specified by two independent, intensive properties. Quality can act as one of the two independent properties required to define the state in a two phase region (Remember, in two phase region we can't specify both the temperature and pressure independently). Hence, if we know the pressure(or temperature) and the quality then we could determine the specific volume.

In the single phase region (compressed liquid or superheated vapour region) there is no need to specify the quality, because by knowing the pressure and temperature, we could determine the specific volume (Remember, in a single phase region we can vary both temperature and pressure independently) (or by fixing any of the two variables we could determine the other property)

Therefore, quality is defined only for the two phase regions and it has no meaning in superheated vapour or compressed liquid region.


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