A fictitious element X is composed of 78.0% of the isotope X-50, 15.0% of the isotope X-51 , and 7.0% of the isotope X-52. Estimate the atomic mass of element X. Show your work.
My answer is the weighted atomic mass of element X = 0.1*55 + 0.2*56 + 0.7*57 = 56.6 g/mol. hope this help you all *v*
To estimate the atomic mass of element X, we need to consider the isotopes present in the element and their respective abundances. The atomic mass of an element is calculated by multiplying the mass of each isotope by its abundance and summing these values.
Given:
Isotope X-50: abundance = 78.0%
Isotope X-51: abundance = 15.0%
Isotope X-52: abundance = 7.0%
Now, we need to know the atomic masses of each isotope. Atomic masses are typically listed on the periodic table. Let's assume the atomic mass of X-50 is 50.0 amu, the atomic mass of X-51 is 51.0 amu, and the atomic mass of X-52 is 52.0 amu.
To find the atomic mass of element X, we multiply the atomic mass of each isotope by its abundance and sum them up:
(50.0 amu * 78.0%) + (51.0 amu * 15.0%) + (52.0 amu * 7.0%)
Calculating this expression will give us the atomic mass of element X. Let's perform the calculations:
(50.0 amu * 78.0%) + (51.0 amu * 15.0%) + (52.0 amu * 7.0%)
= (50.0 * 0.78) + (51.0 * 0.15) + (52.0 * 0.07)
= 39.0 + 7.65 + 3.64
= 50.29 amu
Therefore, the atomic mass of element X is estimated to be 50.29 amu.
(0.78*50) + (0.15*51) + (0.07*52) = ?
x-51=7.65
x-52=3.64
x-50=39
7.65+3.64+39=50.29