Thorium $($with half$-$life T$1/2=1\mathrm{.}913$ yr$.$ and atomic mass $228\mathrm{.}028715$ u undergoes alpha decay and produces radium $($atomic mass $224\mathrm{.}020186$ u$)$ as a daughter nucleus. $($Assume the alpha particle has atomic mass $4\mathrm{.}002603$ u$.).$ The energy released from the decay of $10$ g of thorium is used to heat $3\mathrm{.}8$ kg of water $($assume all the energy released goes into the water$).$ What is the change in temperature of the water after $1$ hour? $$T $=?$K