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from sympy import symbols, Eq, solve
# Define the symbols
T_final = symbols('T_final')
# Given values
m_copper = 0.265 # kg
c_copper = 390 # J/kg·C
T_initial_copper = 245 # °C
m_water = 0.825 # kg
c_water = 4186 # J/kg·C
T_initial_water = 16.0 # °C
m_aluminum = 0.135 # kg
c_aluminum = 900 # J/kg·C
# Heat lost by copper = Heat gained by water + Heat gained by aluminum
Q_copper = m_copper * c_copper * (T_final - T_initial_copper)
Q_water = m_water * c_water * (T_final - T_initial_water)
Q_aluminum = m_aluminum * c_aluminum * (T_final - T_initial_water)
# Conservation of energy equation
energy_eq = Eq(Q_copper, Q_water + Q_aluminum)
# Solve for T_final
T_final_solution = solve(energy_eq, T_final)[0]
T_final_solution
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