Answer
$82C^{\circ}$
Work Step by Step
We know that
$T_b=T-\frac{m_wc_w}{m_bc_b}(T_w-T)$
We plug in the known values to obtain:
$T_b=22.5C^{\circ}-\frac{(1.1Kg)(4186J/Kg.K)}{(0.50Kg)(390J/Kg.K)}(20.0C^{\circ}-22.5C^{\circ})$
This simplifies to:
$T_b=82C^{\circ}$