Final answer:
The total amount of heat released when 94.0 g of water at 80.0 °C cools to form ice at -30.0 °C is 75256 J.
Step-by-step explanation:
The total amount of heat released when 94.0 g of water at 80.0 °C cools to form ice at -30.0 °C can be calculated using the specific heat capacity of water and the heat of fusion of water. The formula to calculate the heat released is:
Q = mcΔT + mL
Where:
Q is the total heat released
m is the mass of water
c is the specific heat capacity of water
ΔT is the change in temperature
L is the heat of fusion of water
Using the values given:
m = 94.0 g
c = 4.18 J/g°C (specific heat capacity of water)
ΔT = 80.0 °C - (-30.0 °C) = 110.0 °C
L = 334 J/g (heat of fusion of water)
Substituting the values into the formula:
Q = (94.0 g)(4.18 J/g°C)(110.0 °C) + (94.0 g)(334 J/g)
Simplifying the equation gives:
Q = 43820 J + 31436 J = 75256 J
Therefore, the total amount of heat released when 94.0 g of water at 80.0 °C cools to form ice at -30.0 °C is 75256 J.