In this question we must need the heat energy (q) value.
Let me show you with an example with use of all these data.
Ethylene Oxide = 2.5 moles.
Heat capacity (Cp) = 110.13J/mol C
Delta T = (T2 - T1) where T1 is initial temperature (93 C) and T2 is final temperature.
Formula : q = m x Cp x Delta T.
Let us assume the heat energy (q) is 2753 J.
So 2753 J = 2.5 moles x 110.13J/mol C x Delta T
Delta T = (2753 J)/(2.5 moles x 110.13J/mol C)
(T2 - 93 ) = 9.99 C
Final Temperature(T2) = 9.99 +93 = 102.99 C or 103 C.