Inside a muscle cell

CHEMISTRY · Multi-part · ISC · Chemistry · Chemical Thermodynamics · Some Basic Concepts of Chemistry

Problem

Inside a muscle cell, the conversion of metabolite X to metabolite Y is endergonic under standard-state conditions, with $ \Delta G^\circ = +12.0\,\text{kJ mol}^{-1}.Thecellhasatemporarystoreof. The cell has a temporary store of 1.50\,\text{mmol}$ of ATP that can be hydrolyzed directly to AMP and pyrophosphate: $ \text{ATP} + \text{H}_2\text{O} \rightarrow \text{AMP} + \text{PPi} \Delta G^\circ = -45.6\,\text{kJ mol}^{-1} $ Assume that the pyrophosphate produced is immediately broken down in a separate reaction whose energetics do not need to be considered here. (a) Calculate the maximum number of moles of metabolite Y that can be formed from metabolite X using the available ATP supply, assuming standard-state conditions and 100 % coupling efficiency. (b) Metabolite Y has a molar mass of 174 g mol−1174\,\text{g mol}^{-1}. Determine the maximum mass (in grams) of metabolite Y that can be synthesized with the given ATP supply. (c) Give one biochemical reason why the actual yield of metabolite Y in a real cell would be lower than the maximum calculated in part (b).

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