Math / Numbers & Operations

QuestionDetermine the number of grams found in 3.2 mol of $\mathrm{Li}_{2} \mathrm{~S}$ . Hint: You must first calculate the molar mass of the compound. 45.95 g $\frac{45.95}{3.2} \mathrm{~g}$ $\frac{3.2}{45.95} \mathrm{~g}$ $3.2 \cdot 45.95 \mathrm{~g}$

Studdy Solution

STEP 1

1. We need to calculate the molar mass of the compound $\mathrm{Li}_{2} \mathrm{~S}$ .
2. The atomic masses are approximately: $\mathrm{Li} = 6.94 \, \text{g/mol}$ and $\mathrm{S} = 32.07 \, \text{g/mol}$ .
3. We need to find the number of grams in $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ .

STEP 2

1. Calculate the molar mass of $\mathrm{Li}_{2} \mathrm{~S}$ .
2. Use the molar mass to find the mass of $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ .

STEP 3

Calculate the molar mass of $\mathrm{Li}_{2} \mathrm{~S}$ .
$\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 2 \times \text{Molar mass of } \mathrm{Li} + \text{Molar mass of } \mathrm{S}$

STEP 4

Substitute the atomic masses into the equation.
$\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 2 \times 6.94 \, \text{g/mol} + 32.07 \, \text{g/mol}$

STEP 5

Calculate the total molar mass.
$\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 13.88 \, \text{g/mol} + 32.07 \, \text{g/mol} = 45.95 \, \text{g/mol}$

STEP 6

Use the molar mass to find the mass of $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ .
$\text{Mass} = \text{Moles} \times \text{Molar mass}$

STEP 7

Substitute the given values into the equation.
$\text{Mass} = 3.2 \, \text{mol} \times 45.95 \, \text{g/mol}$

STEP 8

Calculate the mass.
$\text{Mass} = 147.04 \, \text{g}$
The number of grams found in $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ is:
$\boxed{147.04 \, \text{g}}$

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QuestionDetermine the number of grams found in 3.2 mol of $\mathrm{Li}_{2} \mathrm{~S}$ . Hint: You must first calculate the molar mass of the compound. 45.95 g $\frac{45.95}{3.2} \mathrm{~g}$ $\frac{3.2}{45.95} \mathrm{~g}$ $3.2 \cdot 45.95 \mathrm{~g}$

Studdy Solution

STEP 1

STEP 2

1. Calculate the molar mass of $\mathrm{Li}_{2} \mathrm{~S}$ .
2. Use the molar mass to find the mass of $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ .

STEP 3

Calculate the molar mass of $\mathrm{Li}_{2} \mathrm{~S}$ .
$\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 2 \times \text{Molar mass of } \mathrm{Li} + \text{Molar mass of } \mathrm{S}$

STEP 4

Substitute the atomic masses into the equation.
$\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 2 \times 6.94 \, \text{g/mol} + 32.07 \, \text{g/mol}$

STEP 5

Calculate the total molar mass.
$\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 13.88 \, \text{g/mol} + 32.07 \, \text{g/mol} = 45.95 \, \text{g/mol}$

STEP 6

Use the molar mass to find the mass of $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ .
$\text{Mass} = \text{Moles} \times \text{Molar mass}$

STEP 7

Substitute the given values into the equation.
$\text{Mass} = 3.2 \, \text{mol} \times 45.95 \, \text{g/mol}$

STEP 8

Calculate the mass.
$\text{Mass} = 147.04 \, \text{g}$
The number of grams found in $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ is:
$\boxed{147.04 \, \text{g}}$

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Studdy Solution

STEP 1

STEP 2

1. Calculate the molar mass of Li2 S\mathrm{Li}_{2} \mathrm{~S}Li2​ S.2. Use the molar mass to find the mass of 3.2 mol3.2 \, \text{mol}3.2mol of Li2 S\mathrm{Li}_{2} \mathrm{~S}Li2​ S.

STEP 3

STEP 4

Substitute the atomic masses into the equation.Molar mass of Li2 S=2×6.94 g/mol+32.07 g/mol\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 2 \times 6.94 \, \text{g/mol} + 32.07 \, \text{g/mol}Molar mass of Li2​ S=2×6.94g/mol+32.07g/mol

STEP 5

Calculate the total molar mass.Molar mass of Li2 S=13.88 g/mol+32.07 g/mol=45.95 g/mol\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 13.88 \, \text{g/mol} + 32.07 \, \text{g/mol} = 45.95 \, \text{g/mol}Molar mass of Li2​ S=13.88g/mol+32.07g/mol=45.95g/mol

STEP 6

Use the molar mass to find the mass of 3.2 mol3.2 \, \text{mol}3.2mol of Li2 S\mathrm{Li}_{2} \mathrm{~S}Li2​ S.Mass=Moles×Molar mass\text{Mass} = \text{Moles} \times \text{Molar mass}Mass=Moles×Molar mass

STEP 7

Substitute the given values into the equation.Mass=3.2 mol×45.95 g/mol\text{Mass} = 3.2 \, \text{mol} \times 45.95 \, \text{g/mol}Mass=3.2mol×45.95g/mol

STEP 8

Calculate the mass.Mass=147.04 g\text{Mass} = 147.04 \, \text{g}Mass=147.04g The number of grams found in 3.2 mol3.2 \, \text{mol}3.2mol of Li2 S\mathrm{Li}_{2} \mathrm{~S}Li2​ S is:147.04 g\boxed{147.04 \, \text{g}}147.04g​

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1. Calculate the molar mass of $\mathrm{Li}_{2} \mathrm{~S}$ .
2. Use the molar mass to find the mass of $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ .

Substitute the atomic masses into the equation.
$\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 2 \times 6.94 \, \text{g/mol} + 32.07 \, \text{g/mol}$

Calculate the total molar mass.
$\text{Molar mass of } \mathrm{Li}_{2} \mathrm{~S} = 13.88 \, \text{g/mol} + 32.07 \, \text{g/mol} = 45.95 \, \text{g/mol}$

Use the molar mass to find the mass of $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ .
$\text{Mass} = \text{Moles} \times \text{Molar mass}$

Substitute the given values into the equation.
$\text{Mass} = 3.2 \, \text{mol} \times 45.95 \, \text{g/mol}$

Calculate the mass.
$\text{Mass} = 147.04 \, \text{g}$
The number of grams found in $3.2 \, \text{mol}$ of $\mathrm{Li}_{2} \mathrm{~S}$ is:
$\boxed{147.04 \, \text{g}}$