A thermal power plant is running with no reheat or regeneration. The specific enthalpy and specific entropy of steam at the turbine inlet are $3344 \mathrm{~kJ} \mathrm{~kg}^{-1}$ and $6.5 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}$, respectively. The turbine isentropic efficiency is 0.9 , and the mass flow rate of steam at the turbine inlet is $102 \mathrm{~kg} \mathrm{~s}^{-1}$. The turbine power output is ________ MW (rounded off to 1 decimal place). Properties of saturated liquid and saturated vapor at turbine exit pressure
$$ \text { Saturated liquid water } $$ |
$$ \text { Saturated liquid vapor } $$ |
||
---|---|---|---|
$$ \begin{aligned} &\text { Specific entropy }\\ &\left(\mathrm{kJ} \mathrm{~kg}^{-1}\right) \end{aligned} $$ |
$$ \begin{aligned} &\text { Specific entropy }\\ &\left(\mathrm{kJ} \mathrm{~kg}^{-1} / \mathrm{K}^{-1}\right) \end{aligned} $$ |
$$ \begin{aligned} &\text { Specific enthalpy }\\ &\left(\mathrm{kJ} \mathrm{~kg}^{-1}\right) \end{aligned} $$ |
$$ \begin{aligned} &\text { Specific entroopy }\\ &\left(\mathrm{kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\right) \end{aligned} $$ |
341 | 1.1 | 2645 | 7.6 |
Given data:
For saturated liquid, at $$P=75$$ $$kPa,$$
$$\eqalign{
& \,\,\,\,\,\,\,\,\,\,{h_f} = 384.39\,\,kJ/kg, \cr
& \,\,\,\,\,\,\,\,\,\,{v_f} = 0.001037\,\,{m^3}/kg, \cr
& \,\,\,\,\,\,\,\,\,\,{s_f} = 1.213\,\,kJ/kg K \cr} $$
At $$75$$ $$kPa,$$ $${h_{fg}} = 2278.6\,\,kJ/kg,$$
$$\,\,\,\,\,\,\,\,\,\,\,\,\,{s_{fg}} = 6.2434\,\,kJ/kg$$-$$K$$
At $$P=3$$ $$MPa$$ and
$$\,\,\,\,\,\,\,\,\,\,T = {350^ \circ }C\,\,\,$$ (Superheated steam),
$$\,\,\,\,\,\,\,\,\,\,h = 3115.3\,\,kJ/kg,$$
$$\,\,\,\,\,\,\,\,\,\,s = 6.7428\,\,kJ/kg$$-$$K$$