QuestionCalculate the mass in grams of 1.24 mol of calcium chloride $CaCl_{2}$ , rounding to 3 significant figures.

Studdy Solution

STEP 1

Assumptions1. The number of moles of calcium chloride (CaCl) is1.24. The molar mass of calcium chloride (CaCl) is the sum of the molar masses of calcium (Ca), and two times the molar mass of chlorine (Cl). The molar mass of calcium is approximately40.08 g/mol, and the molar mass of chlorine is approximately35.45 g/mol.
3. The mass of a substance can be calculated using the formula Mass = Number of moles x Molar mass

STEP 2

First, we need to calculate the molar mass of calcium chloride (CaCl2). This can be done by adding the molar mass of calcium (Ca) and two times the molar mass of chlorine (Cl).
$Molar\, mass\, of\, CaCl2 = Molar\, mass\, of\, Ca +2 \times Molar\, mass\, of\, Cl$

STEP 3

Now, plug in the given values for the molar masses of calcium and chlorine to calculate the molar mass of calcium chloride.
$Molar\, mass\, of\, CaCl2 =40.08\, g/mol +2 \times35.45\, g/mol$

STEP 4

Calculate the molar mass of calcium chloride.
$Molar\, mass\, of\, CaCl2 =40.08\, g/mol +2 \times35.45\, g/mol =110.98\, g/mol$

STEP 5

Now that we have the molar mass of calcium chloride, we can calculate the mass of1.24 mol of calcium chloride. This can be done by multiplying the number of moles by the molar mass.
$Mass = Number\, of\, moles \times Molar\, mass$

STEP 6

Plug in the values for the number of moles and the molar mass to calculate the mass.
$Mass =1.24\, mol \times110.98\, g/mol$

STEP 7

Calculate the mass of1.24 mol of calcium chloride.
$Mass =1.24\, mol \times110.98\, g/mol =137.6\, g$ The mass of1.24 mol of calcium chloride is137.6 g.

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