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)

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
Chapter1: Introduction
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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
Transcribed Image Text: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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