Question

(3.41). und b TPOm Egs. (3.40) and Ul u 3.22 Calculate Z and V for ethane atbar by the following equations: (a) The truncated virial equation (3.33) with the following experimental values of virial coefficient B 156.7 cm3mol 1C 9,650 cm'mol-2 (b) The truncated virial equation (3.31), with a value of B from the generalized Pitzer correlation. a Rediah (c) The Redlich/Kwong equation, with estimates of a and b from Eqs. (3.40) and (3.41)
Calculate z and v for ethane at 50 'c and 12 bar .... Etc

The equations are

Please hlp

Answer 1

The values are follows: T = 50 degree C = 273.15 + 50 = 323.15K T_c = 305.3K P_c = 48.72 bar P = 15 bar Calculate T_r and P_r as follows: T/T_r = 323.15K/305.3K = 1.059 P_r = P/P_c = 15 bar/48.72 bar = 0.3079 B = -156.8 cm^3 mol^- 1, C = 9650 cm^6 mol^- 2 calculate V as follows: V = RT/P = 1791 cm^3 mol^- 1 Already we know, PV/RT = 1 + B/V + C/v^2 V = PV/BT = 0.907 B_0 = 0.083 - 0.422/T^1.66_r = -0.302 B_1 = 0.139 - 0.172/T^4.2_r = 3.517 times 10^- 3 z = 1 + (B_0 + wB_1)P_r/T_r = 0.912 Redlich equation is as follows: sigma = 1, sigma = 0, Ohm = 0.08664, Psi = 0.42748