How much energy is required to melt a 5.0-g ice cube at 0oC and bring it up to a temperature of 25oC? The specific heat of water is 4186J/kg/oC, and the latent heat of fusion of water is 334kJ/kg.

Question

Answer: _____ x10^3J

Answer 1

There are two parts to this question.

1. How much energy is needed to melt 5 grams of ice?

This is done by multiplying the amount of ice (in kilograms) by the heat of fusion.

(.005 kg ice)*(334 kJ/kg) = 1.67 kJ

2. How much energy is needed to raise the temperature of water 25 degrees C?

This is done by multiply the amount of water (in kilograms) by the specific heat and again by the change in temperature.

(0.005 kg water)*(4.186 kJ/kg/^oC) = .523 kJ

Now you just have to add up your two values.

Final Answer: 2.19 kJ = 2.19x10³