Show that the entropy departure function of a van der waals fluid can be written as: (s − sig)t, v = rlnµv −b v ¶ (b) -insulated, gradients are generated within the cylinder. if there is initially 300 mol of nitrogen at 100 bar in the 0.1 m3 cylinder, determine the temperature and number of moles of nitrogen remaining when the pressure reaches 1 bar. assume nitrogen is a van der waals fluid with the vdw parameters listed in table 6.4-1 and c∗ p = 7 2r. a function solver e. g. in maple or matlab could be .

when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml

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