An adiabatic vessel contains 1000 g of liquid aluminum at 717°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 1624 K.(O = 16.0; Al = 27.0; Cr = 52.0 g/atom) Given Thermodynamic data:Table 1. The Constant-Pressure Molar heat Capacities of Various Substances(Cp = a + bT + cT- J/mole-K)SubstancesbRange, KaAl 01.24×10-220.67298 – 934Al o31.76934 – 1600AhO3 ()106.61.78×10-- 2.85x10298 – 232524.439.87×10-3- 3.68x105298 – 2180119.379.30×10-3- 1.57x10298 – 2603Table 2. The Standard Molar heats of Formation of Various Substances at 298 K and Molar Heatsof Melting and TransformationSubstancesAH298, kJ/molTrans.AHTrans, kJ/molTTrans, KAl ()10.7934AhO3 ()- 1675.7107.5232521.02180Cr,O3 (9)- 1134.7129.72603

GIVEN : Adiabatic vessel contains 1000 g of liquid aluminium at 717˚ C Resulting mixture of ,…

Answered: An adiabatic vessel contains 1000 g of…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

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An adiabatic vessel contains 1000 g of liquid aluminum at 717°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 1624 K.

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

Given Thermodynamic data:
Table 1. The Constant-Pressure Molar heat Capacities of Various Substances
(Cp = a + bT + cT- J/mole-K)
Substances
b
Range, K
a
Al 0
1.24×10-2
20.67
298 – 934
Al o
31.76
934 – 1600
AhO3 ()
106.6
1.78×10-
- 2.85x10
298 – 2325
24.43
9.87×10-3
- 3.68x105
298 – 2180
119.37
9.30×10-3
- 1.57x10
298 – 2603
Table 2. The Standard Molar heats of Formation of Various Substances at 298 K and Molar Heats
of Melting and Transformation
Substances
AH298, kJ/mol
Trans.
AHTrans, kJ/mol
TTrans, K
Al ()
10.7
934
AhO3 ()
- 1675.7
107.5
2325
21.0
2180
Cr,O3 (9)
- 1134.7
129.7
2603

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