Superheated steam is stored in a large tank at 6 MPa and 800°C, The steam is exhausted isentropically through a converging-diverging nozzle. Determine the velocity of the steam flow when the steam starts to condense, assuming the steam to behave as a perfect gas with γ = 1.3.

1542.9 m/s

Explanation:

The table of thermodynamic properties of steam (Steam Table) is required to solve this question. Using steam table:

At p = 6000 kPa and T = 800°C, then entropy = 7.6554 kJ/(kg*K), internal energy = 3641.2 kJ/kg, and = 0.08159 m^3/kg. Thus:

= 3641.2 + 6000*0.08159 = 3641.2 + 489.54 = 4130.74 kJ/kg

For condensation of steam to occur,

Thus, , = 77°C, = 2638.8 kJ/kg

If we assume that steam is a perfect gas, we have:

, ,

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