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A sample of [tex]\( \text{Ca} \left( \text{C}_2 \text{H}_3 \text{O}_2\right)_2 \)[/tex] is found to contain 40.08 g of [tex]\( \text{Ca} \)[/tex], 48.04 g of [tex]\( \text{C} \)[/tex], 6.06 g of [tex]\( \text{H} \)[/tex], and 64.00 g of [tex]\( \text{O} \)[/tex].

What is the percent composition of [tex]\( \text{C} \)[/tex] in the compound?



Answer :

GinnyAnswer
Sure, let’s go through the steps to find the percent composition of carbon (C) in the compound step by step.

1. Identify the Masses of Each Element in the Compound:
- Calcium (Ca): 40.08 g
- Carbon (C): 48.04 g
- Hydrogen (H): 6.06 g
- Oxygen (O): 64.00 g

2. Calculate the Total Mass of the Compound:
To find the total mass of the compound, we sum the masses of all the elements present in the compound.
[tex]\[ \text{Total mass} = \text{mass of Ca} + \text{mass of C} + \text{mass of H} + \text{mass of O} \][/tex]
Substituting the given values:
[tex]\[ \text{Total mass} = 40.08\ \text{g} + 48.04\ \text{g} + 6.06\ \text{g} + 64.00\ \text{g} = 158.18\ \text{g} \][/tex]

3. Calculate the Percent Composition of Carbon (C):
The percent composition of an element in a compound is calculated using the formula:
[tex]\[ \%\ \text{composition of C} = \left( \frac{\text{mass of C}}{\text{total mass of compound}} \right) \times 100\% \][/tex]
Plug in the known values:
[tex]\[ \%\ \text{composition of C} = \left( \frac{48.04\ \text{g}}{158.18\ \text{g}} \right) \times 100\% \][/tex]

4. Simplify and Calculate:
[tex]\[ \%\ \text{composition of C} = \left( \frac{48.04}{158.18} \right) \times 100\% \][/tex]
[tex]\[ \%\ \text{composition of C} \approx 30.37\% \][/tex]

So, the percent composition of carbon (C) in the compound [tex]\( Ca \left( C_2H_3O_2 \right)_2 \)[/tex] is approximately [tex]\( 30.37\% \)[/tex].

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