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In an internal combustion engine, air at atmostpheric
pressureand a temperature of about 20 degrees celcius is compressed
in thecylinder by a piston to 1/9 of its original volume
(compressionratio = 9.0). Estimate the temperature of the
compressed air,assuming the pressure reaches 40 atm.

Respuesta :

MechEngineer

Answer:

1302 K or 1029 C

Explanation:

Air at atmospheric pressure has pressure of 1 atm

20 C = 20 + 273 = 293 K

Assume ideal gas, according to the ideal gas law:

[tex]\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}[/tex]

Where P1, V1 and T1 are the pressure, volume and temperature of the gas before the compression and P2, V2 and T2 are the pressure, volume and temperature of the gas after the compression

[tex]T_2 = T_1\frac{P_2V_2}{P_1V_1}[/tex]

Since the gas is compressed to 1/9 of its original volume, V2/V1 = 1/9:

[tex]T_2 = 293\frac{40}{9} = 1302 K[/tex] or 1029 C

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