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(1)→ ADP(aq) + HPO2 (aq) for which AGxn = -30.5 kJ/mol at 37.0 °C and pH 7.0. Calculate the value of AGrxn in a biological cell in which [ATP] = 5.0 M, [ADP] = 0.30 mM, and [HPO2¯] = 5.0 mM. AGrxn= Is the hydrolysis of ATP spontaneous under these conditions? yes no kJ/mol

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**Title: Understanding ATP Hydrolysis and Its Role in Energy Production**

A critical reaction in the production of energy necessary to perform work or drive chemical reactions in biological systems is the hydrolysis of adenosine triphosphate (ATP) to adenosine diphosphate (ADP). This reaction is represented by the following equation:

\[ \text{ATP(aq)} + \text{H}_2\text{O(l)} \rightarrow \text{ADP(aq)} + \text{HPO}_4^{2-} \text{(aq)} \]

In this reaction, the change in free energy (\( \Delta G^\circ_{\text{rxn}} \)) is \(-30.5 \, \text{kJ/mol}\) at a physiological temperature of \(37.0^\circ \text{C}\) and pH of 7.0. 

**Problem Statement:**
Calculate the value of \( \Delta G_{\text{rxn}} \) in a biological cell under the following conditions:
- \([\text{ATP}] = 5.0 \, \text{mM}\)
- \([\text{ADP}] = 0.30 \, \text{mM}\)
- \([\text{HPO}_4^{2-}] = 5.0 \, \text{mM}\)

**Input Field:**
There is an input field available to enter the calculated value of \( \Delta G_{\text{rxn}} \), expressed in kJ/mol.

**Question for Consideration:**
Is the hydrolysis of ATP spontaneous under these conditions?
- Options: 
  - Yes
  - No

This exercise helps students understand the thermodynamics of ATP hydrolysis and its significance in cellular energy transfer.
Transcribed Image Text:**Title: Understanding ATP Hydrolysis and Its Role in Energy Production** A critical reaction in the production of energy necessary to perform work or drive chemical reactions in biological systems is the hydrolysis of adenosine triphosphate (ATP) to adenosine diphosphate (ADP). This reaction is represented by the following equation: \[ \text{ATP(aq)} + \text{H}_2\text{O(l)} \rightarrow \text{ADP(aq)} + \text{HPO}_4^{2-} \text{(aq)} \] In this reaction, the change in free energy (\( \Delta G^\circ_{\text{rxn}} \)) is \(-30.5 \, \text{kJ/mol}\) at a physiological temperature of \(37.0^\circ \text{C}\) and pH of 7.0. **Problem Statement:** Calculate the value of \( \Delta G_{\text{rxn}} \) in a biological cell under the following conditions: - \([\text{ATP}] = 5.0 \, \text{mM}\) - \([\text{ADP}] = 0.30 \, \text{mM}\) - \([\text{HPO}_4^{2-}] = 5.0 \, \text{mM}\) **Input Field:** There is an input field available to enter the calculated value of \( \Delta G_{\text{rxn}} \), expressed in kJ/mol. **Question for Consideration:** Is the hydrolysis of ATP spontaneous under these conditions? - Options: - Yes - No This exercise helps students understand the thermodynamics of ATP hydrolysis and its significance in cellular energy transfer.
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