Interpretation:
The equilibrium constant for the formation of
Concept introduction:
The Gibbs free energy or the free energy change is a
The rearranged expression is,
For a general reaction,
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- Use the data in Appendix J to calculate rG andKPat 25 C for the reaction 2HBr(g)+Cl2(g)2HCl(g)+Br2() Comment on the connection between the sign of rG and the magnitude ofKP.arrow_forwardThe standard free energy change, rG, for the formation of NO(g) from its elements is + 86.58 kJ/mol-rxn at 25 C. Calculate Kp at this temperature for the equilibrium N2(g) + O2(g) NO(g) Comment on the sign of rG and the magnitude of Kp.arrow_forwardSilver carbonate, Ag2CO3, is a light yellow compound that decomposes when heated to give silver oxide and carbon dioxide: Ag2CO3(s)Ag2O(s)+CO2(g) A researcher measured the partial pressure of carbon dioxide over a sample of silver carbonate at 220C and found that it was 1.37 atm. Calculate the partial pressure of carbon dioxide at 25C. The standard enthalpies of formation of silver carbonate and silver oxide at 25C are 505.9 kJ/mol and 31.05 kJ/mol, respectively. Make any reasonable assumptions in your calculations. State the assumptions that you make, and note why you think they are reasonable.arrow_forward
- Consider the following diagram of free energy (G) versus fraction of A reacted in terms of moles for the reaction 2A(g) B(g). Before any A has reacted, PA = 3.0 atm and PB = 0. Determine the sign of G and the value of Kp. for this reaction.arrow_forwardCalculate rG for the decomposition of sulfur trioxide to sulfur dioxide and oxygen. 2 SO3(g) 2 SO2(g) + O2(g) (a) Is the reaction product-favored at equilibrium at 25 C? (b) If the reaction is not product-favored at 25 C, is there a temperature at which it will become so? Estimate this temperature. (c) Estimate the equilibrium constant for the reaction at 1500 C.arrow_forwardHydrogen gas and iodine vapor react to produce hydrogen iodide gas: H2(g)+I2(g)2HI(g) Calculate the free-energy change G for the following two conditions, at 25C. Which one is closer to equilibrium? Explain. a The partial pressures of H2(g), I2(g). and HI(g) are each 13 atm. b The partial pressures of H2(g) and I2(g) are each 13 atm; the partial pressure of HI(g) is 190 atm.arrow_forward
- Methanol is now widely used as a fuel in race cars. Consider the following reaction as a possible synthetic route to methanol. C(graphite) + O2(g) + 2 H2(g) CH3OH() Calculate Kp for the formation of methanol at 298 K using this reaction. Would this reaction be more product-favored at a different temperature?arrow_forwardTitanium(IV) oxide is converted to titanium carbide with carbon at a high temperature. TiO2(s) + 3 C(s) 2 CO(g) + TiC(s) (a) Calculate rG and K at 727 C. (b) Is the reaction product-favored at equilibrium at this temperature? (c) How can the reactant or product concentrations be adjusted for the reaction to proceed at 727 C?arrow_forwardAdenosine triphosphate, ATP, is used as a free-energy source by biological cells. (See the essay on page 624.) ATP hydrolyzes in the presence of enzymes to give ADP: ATP(aq)+H2O(l)ADP(aq)+H2PO4(aq);G=30.5kJ/molat25C Consider a hypothetical biochemical reaction of molecule A to give molecule B: A(aq)B(aq);G=+15.0kJ/molat25C Calculate the ratio [B]/[A] at 25C at equilibrium. Now consider this reaction coupled to the reaction for the hydrolysis of ATP: A(aq)+ATP(aq)+H2O(l)B(aq)+ADP(aq)+H2PO4(aq) If a cell maintains a high ratio of ATP to ADP and H2PO4 by continuously making ATP, the conversion of A to B can be made highly spontaneous. A characteristic value of this ratio is [ATP][ADP][H2PO4]=500 Calculate the ratio [B][A] in this case and compare it with the uncoupled reaction. Compared with the uncoupled reaction, how much larger is this ratio when coupled to the hydrolysis of ATP?arrow_forward
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