If mass flow rate of steam through the turbine is 20 kg/s,

Direction: The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the notations are as usually followed.

If mass flow rate of steam through the turbine is 20 kg/s, the power output of the turbine (in MW) is

SFEE h₁ + z₁g +	c²₁	+ Q = h₂ + z₂g +	c²₂	+ W
	2		2

For adiabatic process, Q = 0

∴ h₂ + z₁g +	c²₁	= h₂ + z₂g +	c²₂	+ W
	2		2

Or 3200 × 10³ + 10 × 9.81 +	160 × 160
	2

= 2600 × 10³ + 6 × 9.81 +	100 × 100	+ W
	2

⇒ W = 600 × 10³ + 39.24 +	2600 - 1000	+ W
	2

= 607839.24 × 20 J/s = 12.156 MW

Applying S.F.E.E

w₁

h₁ +

V²₁

+ gz₁

w₂

h₂ +

V²₂

+ gz₂

δw

dτ

Here, w₁ = mass flow rate

dQ	= 0 for insulated turbine
dτ

∴ 20		3200 +	160²	× 9.81 × 10
			2 × 10³

= 20		2600 +	160²	+	9.81 × 6		+	dw
			2 × 10³		10³			dτ

= 20

(3200 - 2600) +

160²

100²

9.81(10 - 6)

dτ

10³

= 20 × {600 + 7.8 + 0.03924}
= 20 × 607.83924 kW
= 12156.7848 kW ≃ 12.157MW