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When ignited, solid ammonium dichromate decomposes in a fiery display. This is t

ID: 510744 • Letter: W

Question

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

Hf° (kJ/mol)

S° (kJ/mol K)

Cr2O3(g)

–1147

0.08118

H2O(l)

–242

0.1187

N2(g)

0

0.1915

(NH4)2Cr2O7(s)

–22.5

0.1137


Determine reaction (in kJ/mol K).

A.

0.7475

B.

0.1590

C.

0.2777

D.

0.8612

E.

0.6338

Determine (in kJ/mol).

A.

–1555.4

B.

1903.6

C.

–191.4

D.

–38.9

E.

–2281.4

Substance

Hf° (kJ/mol)

S° (kJ/mol K)

Cr2O3(g)

–1147

0.08118

H2O(l)

–242

0.1187

N2(g)

0

0.1915

(NH4)2Cr2O7(s)

–22.5

0.1137

Explanation / Answer

Decomposition of ammonium chromate is

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

Change in entropy= entropy of products - entropy of reactant

So = (0.08118+ 4*0.1187+0.1915)-(0.1137)

=0.6338 kJ/mol K

We know that G= H-TS

Ho =[ (-1147) + 0+4*(-242)]-[-22.5]

=-2092.5

T = 25 + 273 = 298K

Go= (-2092.5) - (298)(0.6338)

=-2,281.4 kJ/ mol

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