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 |
A thermodynamically closed system contains 1 kg of hydrogen. The system undergoes a reversible polytropic process with polytropic index 1.3. The work output during the process is 400 kJ . During the process, hydrogen behaves as an ideal gas with constant specific heats. The absolute value of heat transfer during the process is _________ kJ (rounded off to 1 decimal place).
Specific heat of hydrogen at constant pressure $=14.56 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}$
Specific heat of hydrogen at constant volume $=10.4 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}$