## Related questions with answers

Oxygen $\left(\mathrm{O}_{2}\right) \text { at } 25^{\circ} \mathrm{C},$ 100 kPa enters a compressor operating at steady state and exits at $260^\circ C,$ 650 kPa. Stray heat transfer and kinetic and potential energy effects are negligible. Modeling the oxygen as an ideal gas with k = 1.379, determine the isentropic compressor efficiency and the work in kJ per kg of oxygen flowing.

Solution

Verified$\rule{5in}{1pt}$

$\text{\textcolor{#4257b2}{\textbf{Given}}}$

Temperature at state 1 $T_1=25 \ \mathrm{^\circ C}$

Temperature at state 2 $T_2=260 \ \mathrm{^\circ C}$

Pressure at state 1 $P_1=100 \ \mathrm{KPa}$

Pressure at state 2 $P_2=650 \ \mathrm{KPa}$

Specific heat constant of oxygen $K = 1.379$

$\text{\textcolor{#4257b2}{\textbf{Required}}}$

The work developed $\left[ \mathrm{\dfrac{KJ}{Kg}} \right]$

The isentropic compressor efficiency.

$\text{\textcolor{#4257b2}{\textbf{Assumption}}}$

Oxygen in a compressor assembly is compressed adiabatically .

The steam is a closed system.

Applying the ideal gas model.

Kinetic energy play can be neglected.

Potential energy play can be neglected.

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