Mechanical and Materials Engineering Homework Solutions
Problem
#23794

Suraj Joshi - clarification required - wet steam properties

Suraj,

Firstly, thanks for your initial answer, and apologies for not rating it. I didn't realise I needed to rate it upon receipt, rather than when convenient.

If you could just clarify a couple of points relating to your answer though, we'll have another go at the rating bit.

(1) "At critical point of water, T= 647.1K, P = 22.064       MPa, v = 2.84 cc3/g"

T & P are fine, but where/how did you derive the value of V? If from steam tables, would it be possible to include a scan/link to the table in question?

(2) Dryness Fraction.

In the answer you provided, "v" was seemingly taken from values relating to water at Tc, whereas the other values (Vf & Vg) were taken from the values of water at 151 degrees.  

Could you explain why you did this?

Also, is the dryness fraction a constant at both 374 degrees celcius and 151 degrees celcius? If so, why?

(3) "The internal energy is then given as: u = 2029 kJ/kg (approx.)"

Again, if using tables to derive the value of "u", could you enclose a scan/link? Alternatively, could you explain how to arrive at that value using the equation H = V + PV, (where H=Enthalpy, V=Volume & P=Pressure), that would actually be better.

(4) "Hence the total change in internal energy = mu = 2029*1 kJ = 2029kJ"  

This one totally lost me! How does the change in internal energy = the value of "u"? Would there not be respective values for the two points cited in the question (Tc & 151 degrees celcius), the change being the difference between the value of "u" at both points?

Since I'm new to thermodynamics, the logic behind the answer is far more important than the answer itself.

Many thanks in anticipation of your response.

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Answer.doc
We have a closed rigid vessel containing 1kg of water at its critical
point, which is cooled until the internal pressure reaches 5 bar. What
is the dryness fraction and change in internal energy?



At critical point of water, T= 647.1K, P = 22.064 MPa, v = 2.84 cc3/g

From steam tables, At the absolute pressure of 5 bar

The temperature is: 151.87 degrees C

Specific volume of saturated liquid is: vf = 1.092715 cubic centimeters
per gram

specific volume evaporation is: 373.034872 cubic centimeters per gram

specific volume of saturated vapor is: vg = 374.127362 cubic centimeters
per gram

enthalpy of saturated liquid is: 640.1 Joules per gram

enthalpy evaporation is: 2107.3 Joules per gram

enthalpy of saturated vapor is: 2747.7 Joules per gram

entropy of saturated liquid is: 1.8608 kJ/kg K

entropy evaporation is: 4.9581 kJ/kg K

entropy of saturated vapor is: 6.8189 kJ/kg K



The internal energy is then given as: u = 2029 kJ/kg (approx.)

Hence the total change in internal energy = mu = 2029*1 kJ = 2029kJ
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