+3 votes
in Mathematics by kratos

For water at 100 kPa with a quality of 10% find the volume fraction of vapor.

1 Answer

+2 votes
by kratos
 
Best answer

This is a two-phase state at a given pressure:

vf = 0.001 043 m3/kg, vg = 1.6940 m3/kg

From the definition of quality we get the masses from total mass, m, as

mf = (1 – x) m, mg = x m

The volumes are

Vf = mf vf = (1 – x) m vf, Vg = mg vg = x mg vg

So the volume fraction of vapor is

Notice that the liquid volume is only about 0.5% of the total. We could also have found the overall v = vf + xvfg and then V = m v

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