Explanation Given: Equilibrium constant for the reaction ( K p ) is 4.5 × 10 2 . Mass of methane is 22.3 kg . Mass of carbon dioxide is 55 .4 kg . Volume of the container ( V ) is 85 L . Temperature ( T ) is 825 K . Ideal gas constant ( R ) is 0.0821 L atm / ( mol K) . Explanation: Molar mass of methane is 16.04 g / mol . Molar mass of carbon dioxide is 44.01 g / mol . One kilogram is equal to thousand grams. Convert kilograms to grams. 22.3 kg = 22.3 kg × 1000 g 1 kg = 22300 g 55.4 kg = 55.4 kg × 1000 g 1 kg = 55400 g Calculate the number of moles of methane ( n CH 4 ) . n CH 4 = 22300 g 16.04 g / mol = 1390.3 mol Calculate the number of moles of carbon dioxide ( n CO 2 ) . n CO 2 = 55400 g 44.01 g / mol = 1258.8 mol Now, calculate the pressure of methane using the ideal gas equation. P CH 4 = n CH 4 R T V Substitute 1390.3 mol for n N 2 , 85 L for V , 825 K for T , 0.0821 L atm / ( mol K) for R . P CH 4 = 1390.3 mol × 0.0821 L atm / ( mol K) × 825 K 85 L = 1107.9 atm Now, calculate the pressure of carbon dioxide using the ideal gas equation. P CO 2 = n CO 2 R T V Substitute 1258.8 mol for n CO 2 , 85 L for V , 825 K for T , 0.0821 L atm / ( mol K) for R . P CO 2 = 1258.8 mol × 0.0821 L atm / ( mol K) × 825 K 85 L = 1003.1 atm Now consider the given reaction: CH 4 ( g ) + CO 2 ( g ) ⇌ 2 CO ( g ) + 2 H 2 ( g ) Construct the ICE table as follows: CH 4 ( atm ) CO 2 ( atm ) 2 CO ( atm ) 2 H 2 ( atm ) Initial 1107

Chemistry: A Molecular Approach & Student Solutions Manual for Chemistry: A Molecular Approach, Books a la Carte Edition Package

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ISBN: 9780321955517

Author: Nivaldo J. Tro

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Chapter 14, Problem 84E

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To determine: Mass of H2 present and the percent yield of the reaction mixture.

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Chapter 14, Problem 83E

Chapter 14, Problem 85E

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Chemistry: A Molecular Approach & Student Solutions Manual for Chemistry: A Molecular Approach, Books a la Carte Edition Package

Ch. 14 - Prob. 1SAQ Ch. 14 - Q2. The equilibrium constant for the reaction...Ch. 14 - Q3. Use the data shown here to find the...Ch. 14 - Prob. 4SAQ Ch. 14 - Prob. 5SAQ Ch. 14 - Q6. For the reaction 2 A(g) B(g), the equilibrium...Ch. 14 - Q7. Consider the reaction between iodine gas and...Ch. 14 - Prob. 8SAQ Ch. 14 - Prob. 9SAQ Ch. 14 - Prob. 10SAQ

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Mass of H 2 present and the percent yield of the reaction mixture.

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To determine: Mass of H2 present and the percent yield of the reaction mixture.

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