Asked by Jerry

A critical reaction in the production of energy to do work or drive chemical reactions in biological systems is the hydrolysis of adenosine triphosphate, ATP, to adenosine diphosphate, ADP, as described by

ATP(aq) +H2O (l) --->ADP(aq) +HPO4^2-

for which ΔG°rxn = –30.5 kJ/mol at 37.0 °C and pH 7.0. Calculate the value of ΔGrxn in a biological cell in which [ATP] = 5.0 mM, [ADP] = 0.30 mM, and [HPO4^2–] = 5.0 mM.

I got an answer of -15.527 kJ/mol and it marked me wrong. Also I got an answer of -27.3968 kJ/mol and it is wrong. Could you please tell me your answer and how you worked it out thanks.

Answers

Answered by DrBob222
Did you use dG = dGo + RTlnQ?
Answered by Jerry
Yes and I'm not getting it...what did u get?
Answered by Jerry
I used that..its the change in Gibbs energy formula.
Answered by DrBob222
If we use
dG = -30.5*1000 + 8.324*310*ln(ADP)*(H2PO4^-)/(ATP)= ?
I don't know how the pH 7 fits in unless that changes the concn (H2PO4^-)
Answered by Jerry
I got an answer of -33603.04727....does that sound right?
Answered by Jerry
and is the above answer in kJ/mol...cause it needs to be those units.
Answered by Jerry
I checked the answer and it marked me incorrect. I attempted this problem 3 times....can u please tell me the correct answer!!
Answered by DrBob222
I keep getting about 51.4 kJ/mol
30,500 + 8.314*310*ln(0.0003*.005/.005)
30500 + (-20,907) = 51.4 kJ. Check that carefully.
Answered by Jerry
Its actually -51.4! Thanks(:
Answered by DrBob222
Of course. I slipped the negative sign TWICE in the same problem.
Answered by Jerry
It's fine! I really appreciate your help! :)
Answered by lolo
I am working on a problem like this one. I don't understand how you got to 51.4 from 30500 + (-20,907) = 51.4 kJ. Can you explain?
Answered by dj
make sure to convert millimolar to molar
Answered by KJ
"I am working on a problem like this one. I don't understand how you got to 51.4 from 30500 + (-20,907) = 51.4 kJ. Can you explain?"

The 30500 should be negative: -30500+(-20907)
This gives you -51407 J/mol.
Convert to kJ: -51.407 kJ/mol or -51.4 kJ/mol.
Answered by SG
A critical reaction in the production of energy to do work or drive chemical reactions in biological systems is the hydrolysis of adenosine triphosphate, ATP, to adenosine diphosphate, ADP, as described by the reaction
ATP(aq) + H2O(l)-->ADP(aq) + HPO2−4(aq) for which ΔG∘rxn=−30.5kJ/mol at 37.0 °C and pH 7.0. Calculate the value of ΔGrxn in a biological cell in which [ATP]=5.0mM, [ADP]=0.40mM,and [HPO2−4]=5.0 mM.
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