what is the atomic mass of silicon if 92.21% of its atoms have a mass of 27.977 amu, 4.700% have a mass of…

what is the atomic mass of silicon if 92.21% of its atoms have a mass of 27.977 amu, 4.700% have a mass of 28.976 amu, and 3.090% have a mass of 29.974 amu? round your answer to four significant digits and only include the number without the units for the answer. assume the units to be in amu.

what is the atomic mass of silicon if 92.21% of its atoms have a mass of 27.977 amu, 4.700% have a mass of 28.976 amu, and 3.090% have a mass of 29.974 amu? round your answer to four significant digits and only include the number without the units for the answer. assume the units to be in amu.

Answer

Explanation:

Step1: Convert percentages to decimals

$92.21% = 0.9221$, $4.700%=0.04700$, $3.090% = 0.03090$

Step2: Calculate the weighted - average

$m = 0.9221\times27.977+0.04700\times28.976 + 0.03090\times29.974$ $m=0.9221\times27.977+0.04700\times28.976+0.03090\times29.974$ $=25.8939917+1.361872+0.9261966$ $=28.1820603$

Step3: Round to four significant digits

$28.18$

Answer:

$28.18$