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QuestionFind moles of Mg, Cl, and O in 9.10 moles of Mg(ClO4)2\mathrm{Mg}\left(\mathrm{ClO}_{4}\right)_{2}. Answer as numbers: Mg, Cl, O.

Studdy Solution

STEP 1

Assumptions1. The number of moles of magnesium perchlorate is9.10. The molecular formula of magnesium perchlorate is Mg(Cl4)\mathrm{Mg}\left(\mathrm{Cl}_{4}\right)_{}, which means it consists of1 magnesium atom, chlorine atoms, and8 oxygen atoms.

STEP 2

First, we need to find the number of moles of magnesium. Since there is one magnesium atom in each molecule of magnesium perchlorate, the number of moles of magnesium is equal to the number of moles of magnesium perchlorate.
Moles of Mg=Moles of Mg(Cl4)2Moles\, of\, Mg = Moles\, of\, Mg(Cl_{4})_{2}

STEP 3

Now, plug in the given value for the number of moles of magnesium perchlorate to calculate the number of moles of magnesium.
Moles of Mg=9.10Moles\, of\, Mg =9.10

STEP 4

Next, we need to find the number of moles of chlorine. Since there are two chlorine atoms in each molecule of magnesium perchlorate, the number of moles of chlorine is twice the number of moles of magnesium perchlorate.
Moles of Cl=2×Moles of Mg(Cl4)2Moles\, of\, Cl =2 \times Moles\, of\, Mg(Cl_{4})_{2}

STEP 5

Now, plug in the given value for the number of moles of magnesium perchlorate to calculate the number of moles of chlorine.
Moles of Cl=2×9.10Moles\, of\, Cl =2 \times9.10

STEP 6

Calculate the number of moles of chlorine.
Moles of Cl=2×9.10=18.20Moles\, of\, Cl =2 \times9.10 =18.20

STEP 7

Finally, we need to find the number of moles of oxygen. Since there are eight oxygen atoms in each molecule of magnesium perchlorate, the number of moles of oxygen is eight times the number of moles of magnesium perchlorate.
Moles of O=×Moles of Mg(Cl4)2Moles\, of\, O = \times Moles\, of\, Mg(Cl_{4})_{2}

STEP 8

Now, plug in the given value for the number of moles of magnesium perchlorate to calculate the number of moles of oxygen.
Moles of O=8×.10Moles\, of\, O =8 \times.10

STEP 9

Calculate the number of moles of oxygen.
Moles of O=8×9.=72.80Moles\, of\, O =8 \times9. =72.80The number of moles of Mg, Cl, and O atoms are9.,18.20, and72.80, respectively.

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