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a. The first step in the synthesis of trichloromethane (chloroform) from natural

ID: 541986 • Letter: A

Question

a. The first step in the synthesis of trichloromethane (chloroform) from natural gas (methane).

b. The final step in the industrial production of nitric acid.

Chemical Principles 7th Edition MHE/Freeman presented by Sapling Leaming Mapdot Calculate the equilibrium constant, K, at 25.0 °C for each of the following reactions. Use the thermodynamic information provided in the table Compoundl mot CH3CI(g) 48.50 CH4(g) C2Hzlg) 209.2 C2Hs9) Cl2(g) H2(g) H20(e) HCI(g) HNO3(aq)11125 NO(g) NO2g)51.31 a. The first step in the synthesis of trichloromethane (chloroform) from natural gas (methane) 50.72 n,(g) + Cl2(g) CH3Cl(g) + HCI(g) 32.82 0.00 0.00 Number 237.13 95.30 b. The final step in the industrial production of nitric acid 86.55 Number

Explanation / Answer

a)

Given:

Gof(CH4(g)) = -50.72 KJ/mol

Gof(Cl2(g)) = -0.0 KJ/mol

Gof(CH3Cl(g)) = 48.5 KJ/mol

Gof(HCl(g)) = -95.3 KJ/mol

Balanced chemical equation is:

CH4(g) + Cl2(g) ---> CH3Cl(g) + HCl(g)

Go rxn = 1*Gof(CH3Cl(g)) + 1*Gof(HCl(g)) - 1*Gof( CH4(g)) - 1*Gof(Cl2(g))

Go rxn = 1*(48.5) + 1*(-95.3) - 1*(-50.72) - 1*(-0.0)

Go rxn = 3.92 KJ/mol

T= 25.0 oC

= (25.0+273) K

= 298 K

G = 3.92 KJ/mol

G = 3920 J/mol

use:

G = -R*T*ln Kc

3920 = - 8.314*298.0* ln(Kc)

ln Kc = -1.5822

Kc = 0.2055

Answer: 0.2055

b)

Given:

Gof(NO2(g)) = 51.31 KJ/mol

Gof(H2O(l)) = -237.13 KJ/mol

Gof(HNO3(aq)) = -111.25 KJ/mol

Gof(NO(g)) = 86.55 KJ/mol

Balanced chemical equation is:

3 NO2(g) + H2O(l) ---> 2 HNO3(aq) + NO(g)

Go rxn = 2*Gof(HNO3(aq)) + 1*Gof(NO(g)) - 3*Gof( NO2(g)) - 1*Gof(H2O(l))

Go rxn = 2*(-111.25) + 1*(86.55) - 3*(51.31) - 1*(-237.13)

Go rxn = -52.75 KJ/mol

G = -52.75 KJ/mol

G = -52750 J/mol

use:

G = -R*T*ln Kc

-52750 = - 8.314*298.0* ln(Kc)

ln Kc = 21.291

Kc = 1.76*10^9

Answer: 1.76*10^9

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