Answer:
-415 J
Explanation:
The amount of heat released when the ethylene glycol is cooled is given by:
[tex]Q=mC_S \Delta T[/tex]
where:
m = 3.65 kg = 3650 g is the mass of the ethylene glycol
Cs = 2.42 j/(g·°c) is the specific heat capacity of the substance
[tex]\Delta T = T_f -T_i = 85^{\circ}C-132^{\circ}C=-47^{\circ}C[/tex] is the change in temperature of the coolant
By substituting the numbers into the equation, we find
[tex]Q=(3650 g)(2.42 J/(g^{\circ}C))(-47^{\circ}C)=-4.15\cdot 10^5 J = -415 kJ[/tex]
And the sign is negative because the heat is released by the system.