Can you calculate?An adiabatic vessel contains 1000 g of liquid aluminum at 718°C. Calculate the mass of Cr2O3 at room temperature, which, when added to the liquid aluminum (with which it reacts to form Cr and Al2O3), raises the temperature of the resulting mixture of Al2O3, Cr2O3, and Cr to 1668 K. (O = 16.0; Al = 27.0; Cr = 52.0 g/atom)

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Can you calculate?An adiabatic vessel contains 1000 g of liquid aluminum at 718°C. Calculate the mass of Cr2O3 at room temperature, which, when added to the liquid aluminum (with which it reacts to form Cr and Al2O3), raises the temperature of the resulting mixture of Al2O3, Cr2O3, and Cr to 1668 K.

(O = 16.0; Al = 27.0; Cr = 52.0 g/atom)

Given Thermodynamic data:
Table1. The Constant-Pressure
(Cp= a + bT+ cT-? J/mole K)
Molar
heat Capacities of Various Substances
w
Substances
Range, K
a
Al (e)
20.67
1.24x10-2
298 – 934
Al )
31.76
934 – 1600
Al2O3 ()
106.6
1.78x10-2
- 2.85x106
298 – 2325
CI (4)
9.87x10-3
- 3.68x105
24.43
298 – 2180
Cr203 (e)
9.30x10-3
- 1.57x106
119.37
298 – 2603
Table 2. The Standard Molar heats of Formation of Various Substances at 298 K and Molar Heats
of Melting and Transformation
AH ,kJ/mol
TTrans
Substances
Trans.
AHTrans, kJ/mol
K
298
Al (e)
10.7
934
Al203 (4)
- 1675.7
107.5
2325
Cr (6)
21.0
2180
Cr203 ()
1134.7
129.7
2603
Transcribed Image Text:Given Thermodynamic data: Table1. The Constant-Pressure (Cp= a + bT+ cT-? J/mole K) Molar heat Capacities of Various Substances w Substances Range, K a Al (e) 20.67 1.24x10-2 298 – 934 Al ) 31.76 934 – 1600 Al2O3 () 106.6 1.78x10-2 - 2.85x106 298 – 2325 CI (4) 9.87x10-3 - 3.68x105 24.43 298 – 2180 Cr203 (e) 9.30x10-3 - 1.57x106 119.37 298 – 2603 Table 2. The Standard Molar heats of Formation of Various Substances at 298 K and Molar Heats of Melting and Transformation AH ,kJ/mol TTrans Substances Trans. AHTrans, kJ/mol K 298 Al (e) 10.7 934 Al203 (4) - 1675.7 107.5 2325 Cr (6) 21.0 2180 Cr203 () 1134.7 129.7 2603
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