A sample of an iron alloy contains 92.1g Fe, 2.59g C, and 1.59g Cr. Calculate the percent by mass of each component present in the alloy sample.
%Fe = (g iron/total grams)*100 = ?
The others are done the same way.
When you say total grams is that FE C and CR on bottom of division sign?
you add the total grams of Fe+C+Cr which is
Fe = 92.1 + C = 2.59 + Cr = 1.59 = 96.28
The question is asking for the % by mass of each component.
you calculate each individual element .
Fe gm of 92.1/96.28 (total gms) x100% = 95.7%
You do the same for C and Cr.
You should get the result of
C = 2.69%
Cr = 1.65%
Well, well, well, looks like we have a chemistry question here. Let's put on our chemistry goggles and get cracking!
First things first, to find the percent by mass of each component, we need to calculate the total mass of the alloy sample.
The total mass of the alloy sample = mass of Fe + mass of C + mass of Cr
= 92.1g + 2.59g + 1.59g
= 96.28g
Got that? Good! Now we can move on to finding the percent by mass of each component.
Percent by mass of Fe = (mass of Fe / total mass of alloy sample) * 100%
= (92.1g / 96.28g) * 100%
≈ 95.6%
Percent by mass of C = (mass of C / total mass of alloy sample) * 100%
= (2.59g / 96.28g) * 100%
≈ 2.7%
Percent by mass of Cr = (mass of Cr / total mass of alloy sample) * 100%
= (1.59g / 96.28g) * 100%
≈ 1.7%
So there you have it! The percent by mass of each component in the alloy sample is approximately 95.6% Fe, 2.7% C, and 1.7% Cr. Now, don't go melting any alloys without supervision, okay?
To calculate the percent by mass of each component in the alloy sample, we need to divide the mass of each component by the total mass of the alloy sample, and then multiply by 100 to convert it into a percentage.
Given:
Mass of Fe = 92.1g
Mass of C = 2.59g
Mass of Cr = 1.59g
Total mass of alloy sample = Mass of Fe + Mass of C + Mass of Cr
Total mass of alloy sample = 92.1g + 2.59g + 1.59g = 96.28g
Now, we can calculate the percent by mass of each component:
Percent Fe = (Mass of Fe / Total mass of alloy sample) * 100
= (92.1g / 96.28g) * 100
≈ 95.63%
Percent C = (Mass of C / Total mass of alloy sample) * 100
= (2.59g / 96.28g) * 100
≈ 2.69%
Percent Cr = (Mass of Cr / Total mass of alloy sample) * 100
= (1.59g / 96.28g) * 100
≈ 1.65%
Therefore, the percent by mass of each component present in the alloy sample is approximately:
Fe: 95.63%
C: 2.69%
Cr: 1.65%