# Answer on Mechanics | Relativity Question for hasham

Question #66268

For a specific volume of 0.2 m3/kg, find the quality of steam if the absolute pressure is (a) 40 kPa and ( b ) 630 kPa. What is the temperature of each case?

Expert's answer

a) We use the table of Saturated water— Pressure, we calculate the quality as follows:

v = vf + x (vg − vf),

0.2 = 0.001 + x (3.993 − 0.001)

x=0.04985

The temperature is found in Table: T = 75.9°C.

b) Using the values at 0.6 and 0.8 MPa we have:

vg = (0.03 0.2) ×(0.2404 − 0.3157) + 0.3157 = 0.3044

vf=0.0011

0.2 = 0.0011 + x (0.3044 − 0.0011)

x=0.6558

T = (0.03 0.2) × (170.4 − 158.9) + 158.9 = 160.6°C

v = vf + x (vg − vf),

0.2 = 0.001 + x (3.993 − 0.001)

x=0.04985

The temperature is found in Table: T = 75.9°C.

b) Using the values at 0.6 and 0.8 MPa we have:

vg = (0.03 0.2) ×(0.2404 − 0.3157) + 0.3157 = 0.3044

vf=0.0011

0.2 = 0.0011 + x (0.3044 − 0.0011)

x=0.6558

T = (0.03 0.2) × (170.4 − 158.9) + 158.9 = 160.6°C

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