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lbvjy [14]
3 years ago
5

A sample of gas isolated from unrefined petroleum contains 90.0% CH4, 8.9% C2H6, and 1.1% C3H8 at a total pressure of 3.34 atm.

What is the partial pressure of each component of this gas
Chemistry
1 answer:
Leona [35]3 years ago
7 0

Answer:

The partial pressure of each component of this gas is:

  • Partial pressure of methane= 3.006 atm
  • Partial pressure of ethane=  0.29726 atm
  • Partial pressure of propane= 0.03674 atm

Explanation:

The partial pressure of a gas in a mixture is the pressure that gas would exert if it were alone in the container.

On the other hand, the mole fraction is a dimensionless quantity that expresses the ratio of the number of moles of a component with the number of moles of all the components present.

Dalton's Law of Partial Pressures states that the partial pressure of each gas is equal to the total pressure of the gas mixture multiplied by the mole fraction of that gas.

The partial pressures then, can be calculated by multiplication of the percents by the total pressure.

So, the partial pressure of each component of this gas is: :

  • Partial pressure of methane= \frac{90}{100} *3.34 atm=0.9*3.34 atm

<u><em>Partial pressure of methane= 3.006 atm</em></u>

  • Partial pressure of ethane= \frac{8.9}{100} *3.34 atm=0.089*3.34 atm

<u><em>Partial pressure of ethane=  0.29726 atm</em></u>

  • Partial pressure of propane= \frac{1.1}{100} *3.34 atm=0.011*3.34 atm

<u><em>Partial pressure of propane= 0.03674 atm</em></u>

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<u>Answer:</u> The empirical and molecular formula of the compound is CH_2F and C_{14}H_{28}F_{14}  respectively

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We are given:

Mass of CO_2=3.926g

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

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\%\text{ composition of fluorine}=\frac{2.54g}{5.00g}\times 100=50.8\%

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Percentage of C = 42.84 %

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Mass of C = 42.84 g

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Mass of H = 6.36 g

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

  • <u>Step 1:</u> Converting the given masses into moles.

Moles of Carbon =\frac{\text{Given mass of Carbon}}{\text{Molar mass of Carbon}}=\frac{42.84g}{12g/mole}=3.57moles

Moles of Hydrogen = \frac{\text{Given mass of Hydrogen}}{\text{Molar mass of Hydrogen}}=\frac{6.36g}{1g/mole}=6.36moles

Moles of Fluorine = \frac{\text{Given mass of Fluorine}}{\text{Molar mass of Fluorine}}=\frac{50.8g}{19g/mole}=2.67moles

  • <u>Step 2:</u> 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 2.67 moles.

For Carbon = \frac{0.072}{2.67}=1.34\approx 1

For Hydrogen = \frac{6.36}{2.67}=2.38\approx 2

For Fluorine = \frac{2.67}{2.67}=1

  • <u>Step 3:</u> Taking the mole ratio as their subscripts.

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

The empirical formula for the given compound is CH_2F

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The equation used to calculate the valency is:

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Mass of molecular formula = 448.4 g/mol

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Putting values in above equation, we get:

n=\frac{448.4g/mol}{33g/mol}=13.6\approx 14

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C_{(14\times 1)}H_{(14\times 2)}F_{(14\times 1)}=C_{14}H_{28}F_{14}

Hence, the empirical and molecular formula of the compound is CH_2F and C_{14}H_{28}F_{14}  respectively

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