Answer
$42.46\space mole \space of ATP$
Work Step by Step
We know that from hydrolysis reaction of $ATP$ that it gives $7.3KCal$ energy
that is $7.3Kcal=1mol ATP$
$\implies 1Kcal=\frac{1mol \space ATP}{7.3Kcal}$
$\implies 310Kcal=\frac{310Kcal}{7.3Kcal}mol \space ATP=42.46\space mole \space of ATP$