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Calculate the number of moles of the indicated substance in each of the following samples.

a. 41.5 g of MgCl₂
b. 135 mg of Li₂O
c. 1.21 kg of Cr
d. 62.5 g of H₂SO₄
e. 42.7 g of C₆H₆
f. 135 g of H₂O₂

Answer :

Answer:

A: 0.436 moles MgCl2

B: 0.00452 moles Li2O

C: 23.3 moles Cr

D: 0.637 moles H2SO4

E: 0.547 moles C6H6

F: 3.97 moles H2O2

Explanation:

A: Calculate the number of moles of 41.5 grams of MgCl2

Molar mass of MgCl2 = 95.21 g/mol

Moles MgCl2 = 41.5 grams / 95.21 g/mol = 0.436 moles

B: Calculate the number of moles of 135 mg of Li2O

Molar mass of Li2O = 29.88 g/mol

Moles Li2O = 0.135 grams / 29.88 g/mol = 0.00452 moles

C: Calculate the number of moles of 1.21 kg of Cr

Molar mass of Cr = 52.0 g/mol

Moles Cr = 1210 grams / 52.0 g/mol = 23.3 moles

D: Calculate the number of moles of 62.5 grams of H2SO4

Molar mass of H2SO4 = 98.08 g/mol

Moles H2SO4 = 62.5 grams / 98.08 g/mol = 0.637 moles

E: Calculate the number of moles of 42.7 grams of C6H6

Molar mass of C6H6 = 78.11 g/mol

Moles C6H6 = 42.7 grams / 78.11 g/mol = 0.547 moles

F: Calculate the number of moles of 135 grams of H2O2

Molar mass of H2O2 = 34.01 g/mol

Moles H2O2 = 135 grams / 34.01 g/mol = 3.97 moles

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Rewritten by : Barada

Final answer:

The number of moles for a substance is calculated by dividing its mass by its molar mass. Examples include calculating moles for MgCl2 and Li2O by using their molar masses of 95.21 g/mol and 29.88 g/mol, respectively, and dividing the given masses of the substances by these molar masses.

Explanation:

To calculate the number of moles of a substance, you need the mass of the substance and the molar mass of the substance (the mass of one mole of that substance, typically in grams/mol).

The number of moles (n) is calculated by dividing the mass of the substance (m) by its molar mass (M): n = m / M. Here's how you can calculate the moles for each sample:

  • a. Magnesium chloride (MgCl2): First, find the molar mass of MgCl2 by adding the molar masses of Mg (24.31 g/mol) and two Cl atoms (2 x 35.45 g/mol), which equals 95.21 g/mol. Then, divide 41.5 g by 95.21 g/mol to get the moles of MgCl2.
  • b. Lithium oxide (Li2O): The molar mass of Li2O is the sum of the molar masses of 2 Li atoms (2 x 6.94 g/mol) and one O atom (16.00 g/mol), which equals 29.88 g/mol. Divide 135 mg (0.135 g) by 29.88 g/mol to find the moles of Li2O.
  • Through similar calculations, you can determine the number of moles for each of the other substances given their respective masses and molar masses.