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Thermodynamic Quantities for Selected Substances at 298.15 K (25 °C) Substance H

ID: 522357 • Letter: T

Question

Thermodynamic Quantities for Selected Substances at 298.15 K (25 °C)

                                                                                                        

            Substance        H°f (kJ/mol) G°f (kJ/mol) S (J/K-mol)

                                                                                                        

            Carbon                                             

               C (s, diamond)    1.88                  2.84                2.43

               C (s, graphite)     0                       0                     5.69

               C2H2 (g)        226.7                209.2              200.8

               C2H4 (g)          52.30                68.11            219.4

               C2H6 (g)         -84.68               -32.89            229.5

               CO (g)           -110.5               -137.2              197.9

               CO2 (g)         -393.5               -394.4              213.6

            Hydrogen                

               H2( g)                 0                       0                 130.58

            Oxygen                   

               O2 (g)                 0                       0                 205.0

               H2O (l)         -285.83             -237.13              69.91

            Sulfur                      

               S (s, rhombic)     0                         0                    31.88

               SO2(g)           -269.9                -300.4               248.5

               SO3(g)           -395.2                -370.4               256.2

The combustion of acetylene in the presence of excess oxygen yields carbon dioxide and water:

            2C2H2(g) + 5O2(g) 4CO2(g) + 2H2O(l)

The value of S° for this reaction is ________ J/K mol.

A) +689.3

B) +122.3

C) +432.4

D) -122.3

E) -432.4

Explanation / Answer

The value is given by

S0 = n.S0 (products) – n.S0(reactants) = [(4moles)*S0(CO2,g) + (2 moles)*S0(H2O,g)] – [(2 moles)*S0(C2H2,g) + (5 moles)*S0(O2,g)] = [(4 moles)*(213.6 J/mol.K) + (2 moles)*(69.91 J/mol.K)] – [(2 moles)*(200.8 J/mol.K) + (5 moles)*(205.0 J/mol.K)] = -432.38 J/K - 432.4 J/K (ans).

Ans: (E) -432.4 J/K

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