Step-by-step explanation:
We have to find the temperature change of a 198.0 g sample of hot water that released 3072 J to a pipe. So we know that:
Q = -3072 J (negative because the water is releasing the heat)
m = 198.0 g
Cp = 4.184 J/(g°C)
The temperature change is our unknown, so we can apply this formula and solve it for ΔT:
Q = m * Cp * ΔT
ΔT = Q/(m * Cp)
ΔT = -3072 J/(198.0 g * 4.184 J/(g°C))
ΔT = - 3.708 °C
Answer: The temperature change of the water will be -3.708 °C