How much heat energy is needed to transform 125g of ice at zero degrees celsius to warm water at 80 degrees celsius?

I answered this for you yesterday.

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To determine the amount of heat energy needed for the transformation described, we need to consider the following steps:

1. Heat energy required to raise the temperature of the ice from -273.15°C to 0°C
2. Heat energy required to melt the ice at 0°C into liquid water at 0°C
3. Heat energy required to raise the temperature of the liquid water from 0°C to 80°C

Let's calculate each step separately:

Step 1: Heating the ice to 0°C.
The specific heat capacity of ice is 2.09 J/g°C.
To calculate the heat energy required, we use the formula:
Q1 = mass x specific heat capacity x change in temperature

Q1 = 125g x 2.09 J/g°C x (0°C - (-273.15°C))
Q1 = 125g x 2.09 J/g°C x 273.15°C
Q1 = 71,025.94 J

Step 2: Melting the ice at 0°C into liquid water at 0°C.
The heat of fusion (enthalpy of fusion or latent heat) of ice is 334.6 J/g.
To calculate the heat energy required, we use the formula:
Q2 = mass x heat of fusion

Q2 = 125g x 334.6 J/g
Q2 = 41,825 J

Step 3: Heating the water from 0°C to 80°C.
The specific heat capacity of water is 4.18 J/g°C.
To calculate the heat energy required, we use the formula:
Q3 = mass x specific heat capacity x change in temperature

Q3 = 125g x 4.18 J/g°C x (80°C - 0°C)
Q3 = 52,425 J

Finally, to get the total heat energy required, we sum up the heat energy calculated in each step:
Total heat energy = Q1 + Q2 + Q3
Total heat energy = 71,025.94 J + 41,825 J + 52,425 J
Total heat energy ≈ 165,276 J

Therefore, approximately 165,276 Joules of heat energy are needed to transform 125g of ice at zero degrees Celsius to warm water at 80 degrees Celsius.