Living organisms use energy from the metabolism of food to create an energy-rich molecule called adenosine triphosphate (ATP). The ATP acts as an energy source for a variety of reactions that the living organism must carry out to survive. ATP provides energy through its hydrolysis, which can be symbolized as follows: ATP(aq) + H2O(l) → ADP(aq) + Pi(aq) ΔGrxn ° = -30.5 kJ where ADP represents adenosine diphosphate and Pi represents an inorganic phosphate group (such as HPO₄^2-). a. Calculate the equilibrium constant, K, for the given reaction at 298 K.

Video transcript

Hi everyone here we have a question asking us at 298 kelvin, what is the equilibrium constant K. And our reaction is zinc, sulfide solid plus oxygen. Gasses form zinc solid plus sulfate gashes. And our free energy of the reaction equals negative 101.8 kg per mole. So our free energy of the reaction equals R. Gas constant R negative gas constant times our temperature times the natural log of K. So okay equals E. To the negative free energy divided by our gas constant times our temperature. So E to the negative -101 .8 Killed Jules, Divided by 8.314 jules per mole times kelvin Times 298 Kelvin, And that equals 6.99, 1 Times 10 to the 17th. And that is our final answer. Thank you for watching. Bye.