Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Questions 41-43 are based on the following description. When ignited, solid ammo

ID: 695546 • Letter: Q

Question

Questions 41-43 are based on the following description. When ignited, solid ammonium dichromate decomposes in a fiery display. This is the reaction for a "volcano" demonstration. The decomposition produces nitrogen gas, water vapor, and chromium(III) oxide. The temperature is constant at 25°C Substance AH (kJ/mol) So (kJ/mol K) -1147 -242 Cr20s(g) H20(0) 0.08118 0.1187 0.1915 0.1137 N2(g) NHCr0+) 5 -22.5 -41 . Determine Sunio (in kJ/mol K). A) 7.66 B) 6.39 C) 84.3 D) 5.22 E) 6.03 42. Determine aso reaction (in kJ/mol K). A) 0.2777 B) 0.8612 C) 0.7475 D) 0.6338 E) 0.1590 43. Determine Go (in kJ/mol). A) -191.4 B) -2281.4 C)-38.9 D) 1903.6 E) -1555.4

Explanation / Answer

(NH4)2Cr2O7(s)     ------>     N2(g)    +     H2O(l)     +     Cr2O3(g)

The balanced equation is

(NH4)2Cr2O7(s)     ------>     N2(g)    +     4H2O(l)     +     Cr2O3(g)

41.

dH0rxn = Sum of dH0(products) - Sum of dH0(reactants)
        = [ 0 + 4 (- 242) + ( - 1147) ] – (- 22.5)
        = [ 0 - 968 - 1147 ] + 22.5)
          = - 2115 + 22.5
          = - 2092.5 kJ/mol

dS0rxn = Sum of dS0(products) - Sum of dS0(reactants)
       = [ 0.1915 + 4(0.1187) + 0.08118] – (0.1137)
         = 0.63378
         = 0.6338 kJ/mol K

Now,

dS0Universe = dS0system + dS0surroundings

System is the reaction
dS0system = dS0rxn = 0.6338

dS0surrounding = - dH0rxn / T
                  = -(-2092.5) kJ/mol / 298 K
                  = 7.02 kJ/mol K

dS0Universe = dS0system + dS0surroundings
                = 0.6338 kJ/mol K + 7.02 kJ/mol K
               = 7.655 kJ/mol K
               = 7.66 kJ/mol K

Answer is option (A) 7.66

42.

dS0 = Sum of dS0(products) - Sum of dS0(reactants)
      = [ 0.1915 + 4(0.1187) + 0.08118] – (0.1137)
      = 0.63378
      = 0.6338 kJ/mol K

Answer is option (D) 0.6338

43.

dG0 = dH0 =- T dS0
      = (- 2092.5 kJ/mol) – 298 K (0.6338 kJ/mol K)
      = (- 2092.5 kJ/mol) – 188.9 kJ/mol
      = - 2281.4 kJ/mol

Answer is option (B) – 2281.4