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Sergio039 [100]
3 years ago
13

A sample of gas isolated from unrefined petroleum contains 90.0% CH4, 8.9% C2H6, and 1.1% C3H8 at a total pressure of 307.2 kPa.

What is the partial pressure of each component of this gas?
Chemistry
1 answer:
Anika [276]3 years ago
4 0

Answer:

276.48 atm → CH₄

27.3 atm → C₂H₆

3.38 atm → C₃H₈

Explanation:

Percentages of each gas, are the mole fraction

0.9 CH₄

0.089 C₂H₆

0.011 C₃H₈

Mole fraction = Partial pressure each gas/ Total pressure

0.9 = Partial pressure CH₄ / 307.2 kPa

307.2 kPa . 0.9 = 276.48 atm

0.089 = Partial pressure C₂H₆ / 307.2 kPa

307.2 kPa . 0.089 = 27.3 atm

0.011 = Partial pressure C₃H₈ / 307.2 kPa

307.2 kPa . 0.011 = 3.38 atm

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Where, negative sign signifies heat loss

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Heat of fusion + m_{ice}\times C_{ice}\times (T_f-T_i)=m_{water}\times C_{water}\times (T_i-T_f)

Heat of fusion = 334 J/g

Heat of fusion of ice with mass x = 334x J/g

For ice:

Mass = x g

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Final temperature = 6 °C

Specific heat of ice = 1.996 J/g°C

For water:

Volume = 353 mL

Density (\rho)=\frac{Mass(m)}{Volume(V)}

Density of water = 1.0 g/mL

So, mass of water = 353 g

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Specific heat of water = 4.186 J/g°C

So,  

334x+x\times 1.996\times (6-0)=353\times 4.186\times (26-6)

334x+x\times 11.976=29553.16

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<u>The mass of ice required to melt to lower the temperature of 353 mL of water from 26 ⁰C to 6 ⁰C is 85.4197 kg</u>

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