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(a) Moles of O2 = mass / molar mass = 2.43 / 32.0 = 0.0759 mol According to Dalt

ID: 699688 • Letter: #

Question

(a)

Moles of O2 = mass / molar mass = 2.43 / 32.0 = 0.0759 mol

According to Dalton's law of partial pressures,

Total pressure = Sum of partial pressures

SO,

Ptotal = PCH4 + PO2

Ptotal = ( nCH4 R T / V ) + ( nO2 R T/ V )

Ptotal = (nCH4 + nO2) * R T / V

1.41 = ( nCH4 + 0.0759 ) * 0.0821 * (273.15 + 78) / 6.40

nCH4 = 0.237

mCH4 = 0.237 * MCH4

mCH4 = 0.237 * 16.0

mCH4 = mass of methane = 3.79 g.

(b)

Moles of CO2 = 3.34 / 44.0 = 0.0759 mol

Moles of Xe = 20.1 / 131.2 = 0.153

Mole fraction of CO2 = 0.0759 / ( 0.0759 + 0.153 ) = 0.332

Mole fraction of Xe = 0.153 / (0.153 + 0.0759) = 0.668

According Dalton's law,

Partial pressure = total pressure * mole fraction

pCO2 = 717 * 0.332 = 238.0 mmHg

pXe = 717 * 0.668 = 479.0 mmHg

(c)

Total pressure of mixture = 160 + 500 = 660 mmHg

Mole fraction of O2 = partial pressure of O2 / total pressure = 160 / 660 = 0.242

Mole fracion of CH4 = 500 / 660 = 0.758

Explanation / Answer

A mixture of oxygen and methane gases is maintained in a 6.40 L flask at a pressure of 1.41 atm and a temperature of 78 °C. If the gas mixture contains 2.43 grams of oxygen, the number of grams of methane in the mixture is 8- Submit Answer Retry Entire Group 9 more group attempts remaining A mixture of carbon dioxide and xenon gases, at a total pressure of 717 mm Hg, contains 3.34 grams of carbon dioxide and 20.1 grams of xenon. What is the partial pressure of each gas in the mixture? mm Hg mm Hg Pco, Xe Submit Answer Retry Entire Group 9 more group attempts remaining A mixture of oxygen and methane gases contains oxygen at a partial pressure of 160 mm Hg and methane at a partial pressure of 500 mm Hg. What is the mole fraction of each gas in the mixture?