Respuesta :
Answer:
Composition of Titanium in weight percent is 89.97 wt%
Composition of Aluminum in weight percent is 6.03 wt%
Composition of Vanadium in weight percent is 4.00 wt%
Explanation:
To solve this problem, we use the following formula
[tex]C_{Ti} = \frac{M_{Ti}}{M_{Ti} + M_{Al} + M_{V}} X 100[/tex]
where;
[tex]C_{Ti}[/tex] is composition of Titanium in percentage
[tex]M_{Ti}[/tex] is mass of titanium
[tex]M_{Al}[/tex] is mass of aluminum
[tex]M_V[/tex] is mass of vanadium
Step (1) : Composition of Titanium in weight percent
[tex]C_{Ti} = \frac{M_{Ti}}{M_{Ti} + M_{Al} + M_{V}} X 100[/tex]
= (100*218)/(218+14.6+9.7)
= 89.97 wt%
Step (2) : Composition of Aluminum in weight percent
[tex]C_{Al} = \frac{M_{Al}}{M_{Ti} + M_{Al} + M_{V}} X 100[/tex]
= (100*14.6)/(218+14.6+9.7)
= 6.03 wt%
Step (2) : Composition of Vanadium in weight percent
[tex]C_{V} = \frac{M_{V}}{M_{Ti} + M_{Al} + M_{V}} X 100[/tex]
= (100*9.7)/(218+14.6+9.7)
= 4.00 wt%
Answer:
% titanium = 89.97 %
% aluminium = 6.03 %
% vanadium = 4.00 %
Explanation:
Step 1: Data given
An alloy contains 218.0 kg titanium, 14.6 kg of aluminium and 9.7 kg of vanadium
Step 2: Calculate total mass
Total mass = mass titanium + mass aluminium + lass vanadium
Total mass = 218.0 + 14.6 + 9.7
Total mass = 242.3 kg
Step 3: Calculate weight percent
Weight percent = (mass / total mass) * 100%
% titanium = (218.0 kg / 242.3 kg)*100%
% titanium = 89.97 %
% aluminium = (14.6 kg / 242.3 kg) * 100 %
% aluminium = 6.03 %
% vanadium = (9.7 kg/ 242.3 kg) *100 %
% vanadium = 4.00 %
