Question

(a) The reversible chemical reaction between nitrogen gas and ethyne (acetylene) gas 3 to form hydrogen cyanide gas has the following stoichiometric equation: N2(8) + C2H2(g) = 2HCN(g)

Answer 1

(a) pg.no: 1 Given stoichiometrle equation: N2 (g) + CH₂(g) Generally the relation between k is given by In(K) = -AG 2 HCN (9) AG and equilibrium constant RT 0 where AG-Gibbs energy R - Rate constant. T - Temperature. Then, for the given cquation let equilibrium constant bek, then, at 998.2k, equation ③ becomes. dm (K) = -38-2 x 10%(J/mole) 8.314 (J/molek). 298.2(k) K, = 1:8765x107 | (at 298.2K) So, we can determine K at any temperative by In G =) - Assume that all does not change with temperature Thus, quation ③ becomes at 550k - 298.2 k. .) -61kxto? (J/mole) to listen tot) esiastmeler) 500) 28 30

pg: no:2 . ka=79442x 1.8765 x 10-7 1 K2 = 0.0149) 7 Ka= [HCM] CHCN concentration) [Na] [C₂H₂ CH₂ conc.) CC alt conc) From Boyle's law , Idea gas. (PP)x(u) = OxRxT where, PP - partial pressure of the gas V - volume of the gas n - number of moles of the gas. PPC) come ka ( par K2= (PP) MENI (PP), (PP) ( Hz For an ideal gau PPi = Y; (TP) where y-the gare phase mole TP - total pressure fraction.

pg.no:3 kg = YACH CIER YNSDOS YC, H, (50) ไผ่, ไts | constant nor the equilibrium the total pressure of the Here, neither the equilibrium consta) centration depends on mixture as obtained above. Here, AN=2-1-1=0 [product stoichiometry- reactant stoichiomet i.kp=ke CRTJEN Kp ek c= ka ders assume Imole of M₂ and Imole of Calty initially het E be the degree of equilibrium N I GHz I HEN I Total Initial React/ Formed Final I-E Final l-E m.f (mole traction)

=) 0.0149 - RE) pq: no.4 (1-El 20 - 011206 ... E=0.0575] is Equilibrium mole fraction Nr 1 CH₂ HON Total mof. 1-0.0575 1-0-055 2x0.05'75 1 0.47125 0.47125 0.0575 2. No. of moles of H₂ reacted = 0.0575. - conversion 0.0578x100 - 5*754. (c ) Fugacity coefficient of N₂ at 17.5 MPa and 550k is In a = (17.5/3.394) Co. 550/125 [ 0.065 +(0.04 x 0.6] I Pre = 1.0875. Fugacity coefficient of Caltz inde (-0,045 + (018014]

pg.no 5 - .:( 8 C2 H2 = 0.9398] Fugacity coefficient of HCA end = 175/4.955 5 - -0210 + (0.4x0.05) 550/456.7 . 10HN = 0.5728 - K₂= PPP ten PPW PP CH2 ni PP; = Pi Yi (TP), - Piton tien PN24 N 2 O GHz Corte => 0.0149 - (0-5728)– (2012 chant) (13/09 ( (20) = 0.04614 (7) = 0.2149 .. E= 0.0970 mole tractions at equilibrium - N₂ I CH₂ | HCN 2E m.f.

19:00: 6 1- 0.097 1-0.097 0.097 0.451 0.451 0.097 . moles of Ny reacted = 0.097. Conversion = 0.094x100 = 9.7%