(a)
The logarithm equilibrium constant for the reaction at
Compare the results for the values of
(a)
Answer to Problem 19P
The logarithm equilibrium constant for the reaction at
The equilibrium constant obtained from the equilibrium constants of Table A-28 at 1440Ris
Explanation of Solution
Express the standard-state Gibbs function change.
Here, the Gibbs function of components
Write the equation to calculate the natural logarithms of equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Here, universal gas constant is
Write the equation to calculate the equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Conclusion:
From the equilibrium reaction, the values of
Refer Table A-26, obtain the values of
Substitute 1 for
Substitute
Substitute
Thus, the equilibrium constant obtained from the equilibrium reaction at 298 K is
Refer Table A-28, “Natural logarithms of the equilibrium constant” obtain the equilibrium constant for the reaction at the temperature of 298 K as
Substitute
Thus, the equilibrium constant obtained from the table A-28 at 1440 R is
The value obtained for equilibrium constant at 298 K from the definition of the equilibrium constant is
(b)
The logarithm equilibrium constant for the reaction at 2000 K.
Compare the results for the values of
(b)
Answer to Problem 19P
The logarithm equilibrium constant for the reaction at 2000 K is
The equilibrium constant obtained from the equilibrium constants of Table A-28 at 2000K is.
Explanation of Solution
Express the standard-state Gibbs function change.
Here, the Gibbs function of components
Write the equation to calculate the natural logarithms of equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Here, universal gas constant is
Write the equation to calculate the equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Conclusion:
From the equilibrium reaction, the values of
Refer Table A-26, obtain the values of
Refer to Table A-22, obtain the value of
Refer to Table A-22, obtain the value of
Refer to Table A-19E, obtain the value of
Refer to Table A-19E, obtain the value of
Refer to Table A-23, obtain the value of
Refer to Table A-23, obtain the value of
Substitute 1 for
Substitute
Substitute
Thus, the equilibrium constant obtained from the equilibrium reaction at 2000K is
Refer Table A-28, “Natural logarithms of the equilibrium constant” obtain the equilibrium constant for the reaction by interpolating for the temperature of 2000 K as
Substitute
Thus, the equilibrium constant obtained from the table A-28 at2000K is
The value obtained for equilibrium constant at 2000K from the definition of the equilibrium constant is
Want to see more full solutions like this?
Chapter 16 Solutions
CONNECT FOR THERMODYNAMICS: AN ENGINEERI
- The change in the molar volume accompanying fusion of solid benzene is 0.5 cm3 mol−1. Determine the change in Gibbs energy of fusion when the pressure is increased from 1 bar to 5000 bar.arrow_forwardDerive the expression for equilibrium constant for ideal - gas mixtures?arrow_forwardConsider the dissociation of N₂04 into NO2 described by N₂04 2NO₂. Assume that we start with no moles of N₂O4 and no NO₂. (a) Derive an expression for Seq/no in terms of pressure (p) and Kp, where Seq=no - nN₂04,eq is the extent of reaction.arrow_forward
- 300 lb NOT TO SCALE B. E D 4 ft 650 lb · ft 3 ft 2 ft -2 ft→ The pin at point C fits into a smooth slot cut into member AC. Since there is no friction between the pin and the slot, the force there is normal to the slot. For component directions, use x positive to the right and y positive upward.arrow_forwardThe products from the combustion of a stoichiometric mixture of CO and O2 are at a pressure of latm and a certain temperature. The products analysis shows that 35% of each kmol if CO, is dissociated. Determine the equilibrium constant for this temperature, and hence find the percentage dissociation when the products are at the same temperature but compressed to 10 atmospheres.arrow_forwardA) Calculate the differences in the chemical potentials of ice and super-cooled water at -5.00 C and 1.00 atm pressure B) Calculate the differences in the chemical potentials of super heated ice and water at 100 C and 1.00 atm pressure For this problem, the molar entropics for each phase of water are S (G48.0Jmol K S()700J mol and S (E)= 18S.8 J mol Karrow_forward
- Show that a mixture of saturated liquid water and saturated water vapor at 300 kPa satisfies the criterion for phase equilibrium.arrow_forward/Metal A melts at 1400°C, Metal B melts at 600°C. Thermal arrest data is obtained from cooling curves for the alloy of AB and is shown below %A O 10 20 30 50 60 80 90 100 1st Point 600 700 860 960 1140 1220 1320 1370 1400 2nd Point 600 630 690 760 910 1000 1160 1280 0 Determine (i) plot and label the equilibrium diagram(ii) for an alloy containing 50% of A and 50% B state(a) solidification commencing temperature(b) solidification ending temperature(c) percentage of solid &liquid *arrow_forwardConsider the following reaction: 4NH3(g) + 5O2 (g) → 4NO (g) + 6H2O(g) a container were to have only 10 molecules of O2 and 10 molecules of NH3 (g) , how many total molecules (reactant and product) would be present in the container after the above reaction goes to completion?ing “microscopic” pictures, draw the total molecules present inside the container after the reaction occurs.at mass of NO(g) is present in the container after the reaction occurs? (Report your final answer to 4 significant figures.)arrow_forward
- Relate the chemical equilibrium constant to the enthalpy of reaction.arrow_forward1. On stoichiometric calculations. For the given balanced equation: C,H1206 +6 02 6 H20 + 6 CO2 Calculate: a) How many moles of oxygen are required to react completely with 3 moles of glucose, C6H12O6 ?arrow_forwardWhen a 13.0-g sample of NaOH(s) dissolves in 400.0mL of water in a coffee cup calorimeter, the temperature of the water changes from 22.6°C to 30.7°C. Assuming that the specific heat capacity of the solution is the same as water, calculate (a) the heat transfer from system to surroundings and (b) ΔH for the reaction.NaOH(s)→Na+(aq)+OH-(aq)arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY