A heavy nucleus $X$ of mass number $240$ and binding energy per nucleon $7.6\mathrm{MeV}$ is split into two fragments $Y$ and $Z$ of mass numbers $110$ and $130$. The binding energy of nucleons in $Y$ and $Z$ is $8.5\mathrm{MeV}$ per nucleon. Calculate the energy $Q$ released per fission in $\mathrm{MeV}$.