Calculating Energy Needed to Melt an Ice Cube

In summary, to completely melt an ice cube of mass 360.6 grams at -25.2 degrees Celsius, you need 1.40x10^5 Joules of energy. This includes both the energy needed to heat the ice from -25.2C to 0C and the latent heat of fusion to convert the ice into water.

Homework Statement

How much energy is necessary to completely melt an ice cube of mass 360.6grams that is initially at a temp of -25.2 degrees celsius.

Homework Equations

im thinkin i should use specific heat equation? is that right?
c=Q/m(change of temp)
2090=Q/.36069(25.2)

The Attempt at a Solution

Q= 18992
i kno its wrong but I am not sure what approach i need to take in finding the correct answer.

You've done one part of the calculation. You've found the energy it takes to heat the ice from -25.2C to 0C, but it's still ice at 0C. You now need to convert this ice into water. How much energy does it take to do that?

Look up the what the term 'Latent Heat' means.

ahhh ok.. i knew i missed sumthin important

so ... .3606x25.2x2090= 18992.0808
then i use the latent heat of fusion for water and get .3606x(33.5x10^5)=120801

combine them 18992.0808+120801= 139793.0808 --> 1.4x10^5

thank you gokul

1. How do you calculate the energy needed to melt an ice cube?

The energy needed to melt an ice cube can be calculated using the specific heat capacity of water, the mass of the ice cube, and the temperature change from its initial state to its melting point.

2. What is the specific heat capacity of water?

The specific heat capacity of water is 4.186 joules per gram per degree Celsius.

3. How do you determine the mass of an ice cube?

The mass of an ice cube can be determined by weighing it on a scale.

4. What is the melting point of ice?

The melting point of ice is 0 degrees Celsius or 32 degrees Fahrenheit.

5. Can the energy needed to melt an ice cube vary?

Yes, the energy needed to melt an ice cube can vary depending on factors such as the initial temperature of the ice cube, the specific heat capacity of the material the ice cube is made of, and any external factors that may affect the melting process.

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