Calculate Quality of Mixture at 5000 kPa, 0.03181 m^3/kg

[t3rom]

Homework Statement

If you have a mixture of saturated water vapor and saturated liquid water at a pressure of 5000 kPa, and you measure its specific volume to be 0.03181 m^3/kg, what is the quality of the mixture?

Homework Equations

Nothing is given :(

From lectures I found vtot = (1-x)vf+xvg

The Attempt at a Solution

From the saturation table for steam, for 50 bar (or 5000kPa) the values of vf and vg are 1.286 and 0.039, respectively.

I'm supposing the specific volume in the problem is vtot= 0.03181

x=vtot-vf/vg-vf = 1.00 which is wrong as p the choices. I'll appreciate if someone can point out what I'm doing wrong, and help me solve this problem. Thanks in advance!

 

[Chestermiller]

It looks like you solved for x incorrectly. Recheck your algebra.

 

[t3rom]

Actually it's correct but the value of vf was supposed to be 0.01286, which was causing the mistake. Thanks for your help Chestermiller :)

 

[Chestermiller]

Actually it's correct but the value of vf was supposed to be 0.01286, which was causing the mistake. Thanks for your help Chestermiller :)

What I meant was that there were parenthesis missing.

Chet