Answer:
The weight% of [tex]SiO_2[/tex] in augite is 13.16 %.
Explanation:
Atomic mass of calcium = 40 g/mol
Atomic mass of iron = 56 g/mol
Atomic mass of magnesium = 24 g/mol
Atomic mass of sodium = 23 g/mol
Atomic mass of aluminum = 27 g/mol
Atomic mass of silicon = 28 g/mol
Atomic mass of oxygen = 16 g/mol
Mass of [tex]SiO_2=28 g/mol+ 2\time 16 g/mol=60 g/mol[/tex]
Molar mass of the augite [tex](Ca, Fe, Mg, Na)(Mg,Fe,Al)(Si,Al)_2 O_6[/tex] = M
[tex]M=40 g/mol+2\times 56 g/mol+2\times 24 g/mol+23 g/mol+3\times 27 g/mol+2\times 28 g/mol+6\times 16 g/mol=456 g/mol[/tex]
Weight% of [tex]SiO_2[/tex] in augite:
[tex]w\%=\frac{60 g/mol}{456 g/mol}\times 100=13.16\%[/tex]
