# GATE2020: 53

The concentrations of $ATP$, $ADP$ and inorganic phosphate in a cell are $2.59, \:0.73$ and $2.72 \:mM$, respectively. Under these conditions, free energy change for the synthesis of $ATP$ at $37^{\circ}C$ is $kJ$/mol (round off to $2$ decimal places).
Given: free energy change for $ATP$ hydrolysis under standard conditions is $-30.5$ $kJ$/mol and $R=8.315$ $kJ/mol.K$