Explanation Write the expression for the partial pressure of CO 2 ( P CO 2 , gas side ) . P CO 2 , gas side = P − P vapor (I) Write the mole fraction of air dissolved in water ( y CO 2 , liquidside ) . y CO 2 , liquid side = P CO 2 , gas side H (II) Here, Hendry’s constant is H . Write the mole fraction of water in the drink ( y water, liquidside ) . y water, liquidside = 1 − y CO 2 , liquid side (III) Write the expression for the mole fraction of species ( mf i ) . mf i = m i m m (IV) Here, mass of species is m i , and mass of mixture is m m . Write the expression for the mass of species ( m i ) . m i = N i M i (V) Here, number of moles in species is N i , and molar mass of species is M i . Write the expression for the mass of mixture ( m m ) . m m = N m M m (VI) Here, number of moles in mixture is N m and molar mass of mixture is M m . Write the expression for the mole fraction of species ( y i ) . y i = N i N m (VII) Substitute N i M i for m i , N m M m for m m , and N i N m for y i in Equation (VII). mf i = m i m m = N i M i N m M m = y i M i M m (VIII) Write the molar mass of binary mixture ( M m ) . M m = ∑ y i M i = y water, liquidside M water + y CO 2 M CO 2 (IX) Here, mole fraction of liquid water is y liquid water . Write the mass of CO 2 in a container ( m CO 2 ) . m CO 2 = m f CO 2 m m (X) Here, mass of mixture is m m . Write the ideal gas equation for an ideal gas state in terms of volume. V = m R T P (XI) Here, gas constant of carbon dioxide is R . Conclusion: Substitute 600 kPa for P , and 1.938 kPa for P vapor in Equation (I). P CO 2 , gas side = 600 kPa − 1.938 kPa = 598.06 kPa × 1 bar 100 kPa = 5.9806 bar Refer the Hendry’s constant table for selected gases, select the value of Hendry’s constant as 1280 bar for CO 2 at 290 K . Substitute 5.9806 bar for P dry air , and 1280 bar for H in Equation (II)

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Chapter 16.6, Problem 102RP

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The volume of the CO2 in a container.

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Chapter 16 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 16.6 - Why is the criterion for chemical equilibrium...Ch. 16.6 - Write three different KPrelations for reacting...Ch. 16.6 - Is a wooden table in chemical equilibrium with the...Ch. 16.6 - A reaction chamber contains a mixture of CO2, CO,...Ch. 16.6 - A reaction chamber contains a mixture of N2and N...Ch. 16.6 - A reaction chamber contains a mixture of CO2, CO,...Ch. 16.6 - Which element is more likely to dissociate into...Ch. 16.6 - Prob. 8P Ch. 16.6 - Prob. 9P Ch. 16.6 - Prob. 10P

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The volume of the CO 2 in a container.

Solution Summary: The author writes the expression for the partial pressure of CO2 in a container and the mole tion of air dissolved in water in the drink.

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The volume of the CO2 in a container.

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