Question

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 1

CHANGE IN VOLUME -0.013 m3

Step-by-step 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

`V1 = (mRT1)/(P1)`
`V1 = (0.01*0.2598*373)/(20)`

V1 = 0.0484 m3

P2V2 =m RT2

`V2 = (mRT2)/(P2)`

`V2 = (0.01*0.2598*273)/(20)`

V2 = 0.0.3546 m3

CHANGE IN VOLUME OS GIVEN

`\Delta V = V2 -V1`

= 0.0354 - 0.0484

= -0.013 m3