The hydrolysis of ATP to ADP has a △G°'of -30 kJ/mol.If in an E.coli cell the concentrations of ATP,ADP and inorganic phosphate are 7.90 mM,1.04 mM and 7.9 mM,respectively,which statement is true about the hydrolysis of ATP in the cell?(Assumeatemperature of 298 K.R = 8.315 J/K-mol)
A)Hydrolysis can proceed spontaneously.
B)The hydrolysis is at equilibrium.
C)The formation of ATP from ADP is occurring more rapidly than the hydrolysis.
D)The hydrolysis is being allosterically controlled.

Question

Quizplus · Accepted Answer

The actual △G of the hydrolysis of ATP in the E.coli cell can be calculated using the formula: 
△G = △G°' + RTln([ADP][Pi]/[ATP]) 
where R is the gas constant, T is the temperature, [ADP] is the concentration of ADP, [Pi] is the concentration of inorganic phosphate, and [ATP] is the concentration of ATP. 
Plugging in the given values, we get: 
△G = -30,000 + (8.315 x 298 x ln(1.04 x 7.9/7.9)) 
△G = -34.2 kJ/mol 
Since the actual △G is negative, hydrolysis of ATP can proceed spontaneously in the E.coli cell.

The Hydrolysis of ATP to ADP Has a △G°'of -30