Question

b) calculate the average mass of each bead isotope (show your calculations)
isotope mass abundance total mass of each bead iso-
bead 3.6g 3.6g 6.15%
bead 4.4g 4.4g 15.38%
bead - 9.18g 9.18g 78.46%
average mass of bead in the cup?
total 30 pts

Explanation:

Step1: Convert percentages to decimals

$6.15\% = 0.0615$, $15.38\%=0.1538$, $78.46\% = 0.7846$

Step2: Calculate the contribution of each bead - isotope to the average mass

For bead - 3.6g: $3.6\times0.0615 = 0.2214$
For bead - 4.4g: $4.4\times0.1538=0.67672$
For bead - 9.18g: $9.18\times0.7846 = 7.202628$

Step3: Sum up the contributions

$0.2214 + 0.67672+7.202628=8.099748\approx8.10$ g

Answer:

$8.10$ g