Answer:
[tex]T = 17.26 ^oC[/tex]
Explanation:
At thermal equilibrium we have heat given by aluminium must be equal to the heat absorbed by the water
so we will have
[tex]Q_1 = Q_2[/tex]
[tex]m_1s_1\Delta T_1 = m_2s_2\Delta T_2[/tex]
so we will have
[tex]32.5(900)(45.8 - T) = 105.3(4186)(T - 15.4)[/tex]
so we have
[tex](45.8 - T) = 15.1(T - 15.4)[/tex]
so we have
[tex]16.1 T = 277.87[/tex]
[tex]T = 17.26 ^oC[/tex]