# For h2o determine the specified property at the indicated state

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For H2O, determine the specified property at the indicated state.

(a) T = 140°C, v = 0.5 m3/kg. Find p, in bar.
(b) p = 30 MPa, T = 80°C. Find v, in m3/kg.
(c) p = 10 MPa, T = 600°C. Find v, in m3/kg.
(d) T = 80°C, x = 0.4. Find p, in bar, and v, in m3/kg.
For H2O, determine the specific volume at the indicated state, in m3/kg.
(a) T = 440°C, p = 20 MPa.
(b) T = 160°C, p = 20 MPa.
(c) T = 40°C, p = 2 MPa.

The properties of water and steam used to do work can be determined from the steam table, given input of the temperature, pressure, specific volume, as well as other thermodynamic variables

The responses to the required values of pressure and specific volume are as follows;

Part I

(a) Given T = 140°C, v = 0.5 m³/kg, to find p

From the steam tables, we have, at 140°, = 0.00107976, = 0.508519, = 3.61501

Given that the < v < , the fluid has two phases and the experienced pressure = 3.61501 bar

(b) Given that at 30 MPa, and 80°C the steam is in the superheated heated region

From the single phase region of the steam tables, we have;

v = 1.01553 × 10⁻³ m³/kg

(c) Given that at p = 10 MPa = 100 bar, and T = 600°C, we have from the single phase region of the  steam table

v = 3.83775 × 10⁻² m³/kg

(d) At T = 80°C, and x = 0.4, we have;

v = 0.00102904 + 0.4 × (3.40527 - 0.00102904) ≈ 1.363

v = 1.363 m³/kg

Part II

(a) At T = 440 °C, p = 20 MPa. from the single phase region of the steam table, we have;

v = 1·22459 × 10⁻² m³/kg

(b) At T = 160°C, p = 20 MPa = 200 bar, the steam is in the superheated region, and we have;

v = 1.08865 × 10⁻³ m³/kg

(c) At T = 40°C and p = 2 MPa = 20 bar, we have

v = 0.00100700 m³/kg = 1.007 × 10⁻³ m³/kg

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