1
GATE ME 2025
Numerical
+1
-0
The thermal efficiency of an ideal air-standard Otto cycle is 0.5 . The value of specific heat ratio of air is 1.4. The compression ratio of the cycle is _________ (rounded off to 1 decimal place).
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2
GATE ME 2025
Numerical
+2
-0

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
Your input ____
3
GATE ME 2025
Numerical
+2
-0

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 $=10.4 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}$

Your input ____
4
GATE ME 2025
Numerical
+2
-0

A heat pump, operating in reversed Carnot cycle, maintains a steady air temperature of 300 K inside an auditorium. The heat pump receives heat from the ambient air. The ambient air temperature is 280 K . Heat loss from the auditorium is 15 kW . The power consumption of the heat pump is __________ kW (rounded off to 2 decimal places).

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