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A mass of 10 g of oxygen fill a weighted piston cylinder device at 20 kPa and 100°C. The device is 6. now cooled until the temperature is 0°C. Determine the change of the volume of the device during this cooling. The specific gas constant of oxygen is 259.8 1/kg-K.

Answer :

Answer:

CHANGE IN VOLUME -0.013 m3

Explanation:

given data:

we know that pressure remain constant for weighted piston cylinder

P1 =P2

Gas constant R = 259.81 j/Kg- K = 0.2598 kJ/kg K

mass, m1 =m2 = 0.01 kg

P1 = 20kPa

T1 = 100 degree C = 373 K

T2 = 0 degree C= 273 K

FROM IDEAL EQUATION

P1V1 =m RT1

[tex]V1 = \frac{mRT1}{P1}[/tex][tex]V1 = \frac{0.01*0.2598*373}{20}[/tex]

V1 = 0.0484 m3

P2V2 =m RT2

[tex]V2 = \frac{mRT2}{P2}[/tex]

[tex]V2 = \frac{0.01*0.2598*273}{20}[/tex]

V2 = 0.0.3546 m3

CHANGE IN VOLUME OS GIVEN

[tex]\Delta V = V2 -V1[/tex]

               = 0.0354 - 0.0484

               = -0.013 m3

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