Answer
See the answer below.
Work Step by Step
Bonds broken: 2 OO with b.o. 1.5
Bonds formed: 2 O=O
$\Delta H=(2×x)-(2×498)=-392\ kJ/mol$
Solving for x:
$H_{OO_{1.5}}= 302\ kJ/mol$.
The O-O bond has a dissociation energy of 146 kJ/mol and the O=O, 498. This dissociation energy is approximately halfway between the two.