Final answer:
The energy change when the temperature of water decreases from 125 °C to 59.5 °C is -146,236 J
Step-by-step explanation:
To determine the energy change when the temperature of water decreases, we can use the equation Q = mcΔT, where Q is the energy change, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature.
First, we need to calculate the initial energy of the water at 125 °C:
Q1 = (0.550 kg) (4186 J/kg°C) (125 - 0) = 289,885 J
Next, we calculate the final energy of the water at 59.5 °C:
Q2 = (0.550 kg) (4186 J/kg°C) (59.5 - 0) = 143,649 J
The energy change is given by ΔQ = Q2 - Q1:
ΔQ = 143,649 J - 289,885 J = -146,236 J
Therefore, the energy change when the temperature of 0.550 kg of water decreases from 125 °C to 59.5 °C is -146,236 J.