Nitrogen gas is compressed isothermally at 250K from 1.0 bar to 150 bars. Determine the change...

Nitrogen gas is compressed isothermally at 250K from 1.0 bar to 150 bars. Determine the change in enthalpy and entropy using:
a. Redlich-Kwong equation of state
b. Using tabular superheat data

Expert Solution

The Redlich–Kwong equation is formulated as:

where:

P is the gas pressure
R is the gas constant,
T is temperature,
V_m is the molar volume (V/n),
a is a constant that corrects for attractive potential of molecules, and
b is a constant that corrects for volume.

The constants are different depending on which gas is being analyzed. The constants can be calculated from the critical point data of the gas:^[1]

where:

T_c is the temperature at the critical point, and
P_c is the pressure at the critical point.

entha;py change = - nRT2.303 log (PA/PB) = 1 * 8.314 * 250 *2.303 log (1/150) = -10416.48L

= -1.041648KJ

entropy change = nR *2.303 *log PA/PB = 1* 8.314 *2.303 log (1/150) = -41.666 J/K

queen_honey_blossom answered 7 months ago

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