Nitrogen (R = 297 N*m/(kg*K)) is used in ihe piston device as shown below, The o

Question

Nitrogen (R = 297 N*m/(kg*K)) is used in ihe piston device as shown below, The other end of the piston is open to atmospheric pressure and the piston weight is 375 N. The piston is fixed using dowels as shown. The temperature of the nitrogen gas is 120 degreeC and the gauge pressure in the cylinder measures 249 kPa. The cylinder has a diameter of 1 .5m and at this time, the nitrogen is compressed in the cylinder to a height of 1 m. What are the specific volume, density and mass of the nitrogen in the container?

Explanation / Answer

Ideal gas:

p =RT   or

=p/(RT)=(249 kPa + 101.3 kPa)/[297*(120+273.15)] = 0.003 kilo kg/m3 = 3 kg/m3

Specific volume = 1/=0.3333 m3/kg

M = V=r2h =(0.75)2(1)(3)=5.3 kg

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