Question

P02-(45/100) Aluminum-lithium (Al-Li) alloys have been developed by the aircraft industry to reduce the weight and improve the performance of its air-craft. A commercial aircraft skin material having a density of is desired. $\rho$= 2520 kg/m³ (a) Compute the concentration of Li (in mass ratio) that is required. Hints: Refer to relevant text books. Course text book Chapter 4 pages 132 and 133 for relevant formulea. See pages 3 and 4 for the properties of Li (1) and Al (2) Note that the average density of a mixture (an alloy) is given by the mixture rule $\frac{1}{\rho} = \frac{c_1}{\rho_1} + \frac{c_2}{\rho_2}$ and $c_1 + c_2 = 1.00$ where $c_1$ and $c_2$ are the mass composition of the mixture (solid solution in this case) and $\rho_1$ and $\rho_2$ are the densities of the two elements Solve the above equations for $c_1$ and carry out the calculations $c_1 =$ $c_1 =$ (b) Calculate the theoretical densities of Li and Al. Note: Refer to page 60 of the course text book for the relevant formulae. $a_{BCC} =$ $a_{FCC} =$ $\rho_{Li} =$ $\rho_{Al} =$ $c_2 = 1 - c_1$ $\rightarrow c_2 =$ kgAl/kgAlloy kgLi/kgAlloy nm nm 1 2

          P02-(45/100)
Aluminum-lithium (Al-Li) alloys have been developed by the aircraft
industry to reduce the weight and improve the performance of its air-craft. A
commercial aircraft skin material having a density of
is desired.
$\rho$= 2520 kg/m³
(a) Compute the concentration of Li (in mass ratio) that is required.
Hints: Refer to relevant text books. Course text book Chapter 4 pages 132
and 133 for relevant formulea. See pages 3 and 4 for the properties of Li (1)
and Al (2)
Note that the average density of a mixture (an alloy) is given by the mixture rule
$\frac{1}{\rho} = \frac{c_1}{\rho_1} + \frac{c_2}{\rho_2}$
and
$c_1 + c_2 = 1.00$
where $c_1$ and $c_2$ are the mass composition of the mixture (solid solution in this case) and $\rho_1$ and $\rho_2$ are the densities of the two elements
Solve the above equations for $c_1$ and carry out the calculations
$c_1 =$
$c_1 =$
(b) Calculate the theoretical densities of Li and Al.
Note: Refer to page 60 of the course text book for the relevant formulae.
$a_{BCC} =$
$a_{FCC} =$
$\rho_{Li} =$
$\rho_{Al} =$
$c_2 = 1 - c_1$
$\rightarrow c_2 =$
kgAl/kgAlloy
kgLi/kgAlloy
nm
nm
1
2

P02-(45/100)
Aluminum-lithium (Al-Li) alloys have been developed by the aircraft
industry to reduce the weight and improve the performance of its air-craft. A
commercial aircraft skin material having a density of
is desired.
ρ= 2520 kg/m³
(a) Compute the concentration of Li (in mass ratio) that is required.
Hints: Refer to relevant text books. Course text book Chapter 4 pages 132
and 133 for relevant formulea. See pages 3 and 4 for the properties of Li (1)
and Al (2)
Note that the average density of a mixture (an alloy) is given by the mixture rule
(1)/(ρ) = (c1)/(ρ1) + (c2)/(ρ2)
and
c1 + c2 = 1.00
where c1 and c2 are the mass composition of the mixture (solid solution in this case) and ρ1 and ρ2 are the densities of the two elements
Solve the above equations for c1 and carry out the calculations
c1 =
c1 =
(b) Calculate the theoretical densities of Li and Al.
Note: Refer to page 60 of the course text book for the relevant formulae.
aBCC =
aFCC =
ρLi =
ρAl =
c2 = 1 - c1
→ c2 =
kgAl/kgAlloy
kgLi/kgAlloy
nm
nm
1
2

Added by Courtney L.

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