Chemistry, 02.09.2019 17:10 duckling4672

Determine the number of atoms and the mass of zirconium, silicon and oxygen found in 0.3384 mol of zircon zrsio4, a
semiprecious stone.

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Answer from: kaitietrueman8823

Explanation:

1 mol of ZrSiO₄ , have , 1 mol of Zr , 1 mol of Si and 4 mol of Oxygen .

since ,

1 mol of a substance have 6.022 * 10 ²³ particles ,

From the question ,

0.3384 mol of zircon ZrSiO₄ ,

hence ,

from the above equation ,

1 mol of a substance have 6.022 * 10 ²³ particles ,

0.3384 mol = 0.3384 * 6.022 * 10 ²³ number of atoms

= 2.037 * 10 ²³ number of atoms

Hence ,

0.3384 mol of ZrSiO₄ will have , 0.3384 mol of Zr ,0.3384 mol of Si and 4*0.3384 mol of Oxygen .

Hence ,

number of atoms of Zr = 0.3384 mol * 6.022 * 10 ²³ = 2.037 * 10 ²³ number of atoms number of atoms of Si = 0.3384 mol * 6.022 * 10 ²³ = 2.037 * 10 ²³ number of atoms number of atoms of O = 4 * 0.3384 mol * 6.022 * 10 ²³ = 8.148 * 10 ²³ number of atoms

The mass is calculated as -

since ,

Moles is denoted by given mass divided by the molecular mass ,

Hence ,

n = w / m

n = moles ,

w = given mass ,

m = molecular mass .

n = w / m

w = n * m

mass of Zr ,

Since we know , the molecular mass of Zr = 91 g/mol

moles of Zr = 0.3384 mol

using the above formula ,

w = n * m

w = 0.3384 mol * 91 g/mol = 30.79 g

hence ,

The mass of Zr = 30.79 g

mass of Si ,

Since we know , the molecular mass of Si = 28 g/mol

moles of Si = 0.3384 mol

using the above formula ,

w = n * m

w = 0.3384 mol * 28 g/mol = 9.475 g

hence ,

The mass of Si = 9.475 g

mass of O ,

Since we know , the molecular mass of O = 16 g/mol

moles of Si = 1.3536 mol

using the above formula ,

w = n * m

w = 1.3536 mol * 16 g/mol = 21.65 g

hence ,

The mass of O = 21.65 g

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Answer from: Quest

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Determine the number of atoms and the mass of zirconium, silicon and oxygen found in 0.3384 mol of z...

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