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A 0.1014 g sample of a purified compound containing C, H, and, O was burned in a combustion apparatus and produced 0.1486 g CO2 and 0.0609 g of H2O. What is the empirical formula of this compound?

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4 votes

Answer:

Sample Response: The missing material is water. You cannot test the conductivity of ionic compounds if they are not dissolved in water. Solid ionic compounds cannot conduct electricity.

Step-by-step explanation:

User Jason Portnoy
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Answer: The empirical formula for the given compound is
CH_2O

Step-by-step explanation:

The chemical equation for the combustion of hydrocarbon having carbon, hydrogen and oxygen follows:


C_xH_yO_z+O_2\rightarrow CO_2+H_2O

where, 'x', 'y' and 'z' are the subscripts of Carbon, hydrogen and oxygen respectively.

We are given:

Mass of
CO_2=0.1486g

Mass of
H_2O=0.0609g

We know that:

Molar mass of carbon dioxide = 44 g/mol

Molar mass of water = 18 g/mol

For calculating the mass of carbon:

In 44 g of carbon dioxide, 12 g of carbon is contained.

So, in 0.1486 g of carbon dioxide,
(12)/(44)* 0.1486=0.0405g of carbon will be contained.

For calculating the mass of hydrogen:

In 18 g of water, 2 g of hydrogen is contained.

So, in 0.0609 g of water,
(2)/(18)* 0.0609=0.00677 of hydrogen will be contained.

Mass of oxygen in the compound = (0.1014) - (0.0405 + 0.00677) = 0.054 g

To formulate the empirical formula, we need to follow some steps:

Step 1: Converting the given masses into moles.

Moles of Carbon =
\frac{\text{Given mass of Carbon}}{\text{Molar mass of Carbon}}=(0.0405g)/(12g/mole)=0.003375moles

Moles of Hydrogen =
\frac{\text{Given mass of Hydrogen}}{\text{Molar mass of Hydrogen}}=(0.00677g)/(1g/mole)=0.00677moles

Moles of Oxygen =
\frac{\text{Given mass of oxygen}}{\text{Molar mass of oxygen}}=(0.054g)/(16g/mole)=0.003375moles

Step 2: Calculating the mole ratio of the given elements.

For the mole ratio, we divide each value of the moles by the smallest number of moles calculated which is 0.485 moles.

For Carbon =
(0.003375)/(0.003375)=1

For Hydrogen =
(0.00677)/(0.003375)=2.00* 2

For Oxygen =
(0.003375)/(0.003375)=1

Step 3: Taking the mole ratio as their subscripts.

The ratio of C : H : O = 1 : 2 : 1

The empirical formula for the given compound is
C_1H_2O_1=CH_2O

Thus, the empirical formula for the given compound is
CH_2O

User Johndbritton
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