Using Energy Concepts and the Ideal Gas Model Air contained in a piston-cylinder assembly undergoes the power cycle shown in Fig. P3.142. Assuming ideal gas behavior for the air, evaluate the thermal efficiency of the cycle.
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Air contained in a piston-cylinder assembly undergoes the power cycle shown in the figure below: Isothermal process (bar) 3.75 (m^3/kg) Assuming ideal gas behavior for the air, evaluate the thermal efficiency of the cycle:
Pranay S.
An ideal gas is contained in a piston-cylinder device and undergoes a power cycle as follows: $1-2$ isentropic compression from an initial temperature $T_{1}=20^{\circ} \mathrm{C}$ with a compression ratio $r=5$ $2-3$ constant-pressure heat addition $3-1$ constant-volume heat rejection The gas has constant specific heats with $c_{v}=0.7 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}$ and $R=0.3 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}$ (a) Sketch the $P-U$ and $T-s$ diagrams for the cycle. (b) Determine the heat and work interactions for each process, in $\mathrm{kJ} / \mathrm{kg}$. (c) Determine the cycle thermal efficiency. (d) Obtain the expression for the cycle thermal efficiency as a function of the compression ratio $r$ and ratio of specific heats $k$.
An ideal gas is contained in a piston-cylinder device and undergoes a power cycle as follows: $1-2$ isentropic compression from an initial temperature $T_{1}=20^{\circ} \mathrm{C}$ with a compression ratio $r=5$ $2-3 \quad$ constant pressure heat addition $3-1 \quad$ constant volume heat rejection The gas has constant specific heats with $c_{v}=0.7 \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}$ and $R=0.3 \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}$ (a) Sketch the $P$ -v and $T$ -s diagrams for the cycle. (b) Determine the heat and work interactions for each pro$\operatorname{cess},$ in $\mathrm{kJ} / \mathrm{kg}$ (c) Determine the cycle thermal efficiency. (d) Obtain the expression for the cycle thermal efficiency as a function of the compression ratio $r$ and ratio of specific heats $k$
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