# Heat Energy and Power -- Heating ice in a copper pan

At what temperature?35 ◦CIn summary, the question is asking for the power needed to heat a chunk of ice and a copper pan from 0◦C to 35◦C in 10 minutes. The equations used to solve this problem are Q=mcΔT and Q=mLf, with the final temperature of the system being 35 ◦C. The final state of the ice is water, and the power can be calculated by dividing the total heat energy by the time.

## Homework Statement

Calculate the power needed to heat a 1360 gram chunk of ice in a 600 gram copper pan from 0 ◦C to the system’s final temperature of 35◦C in a time of 10 minutes.

## Homework Equations

Q=mcchange in temp
Q=mLf
P= energy/time

## The Attempt at a Solution

I thought that adding the heat energy of ice, q=mLf, with the copper's heat, q=mc change in temp, and then dividing by time. Or would subtract copper from ice? And what do I do when it says temp of whole system?

thought that adding the heat energy of ice, q=mLf, with the copper's heat, q=mc change in temp, ...
... plus one more thing.

haruspex said:
... plus one more thing.
I don't what it is

I don't what it is
What is the final state of the ice?

gneill
haruspex said:
What is the final state of the ice?
water

water
At what temperature?

## 1. What is heat energy?

Heat energy is a form of energy that is transferred from one object to another due to a difference in temperature. It is also known as thermal energy and is measured in joules (J).

## 2. How does heat energy affect ice in a copper pan?

When heat energy is applied to ice in a copper pan, it causes the ice to melt and turn into water. This is because the heat energy is increasing the temperature of the ice, causing its molecules to move faster and break apart, changing from a solid to a liquid state.

## 3. Why does a copper pan heat up faster than other materials?

Copper is a good conductor of heat, meaning it allows heat energy to pass through it easily. This is due to the arrangement of its atoms, which allows for efficient transfer of heat energy. As a result, a copper pan will heat up faster than other materials, such as glass or plastic.

## 4. Can the amount of heat energy applied affect the rate of melting?

Yes, the amount of heat energy applied can greatly affect the rate of melting. The more heat energy that is applied, the faster the ice will melt. This is because the heat energy is causing the molecules in the ice to move faster and break apart, resulting in a faster rate of melting.

## 5. Is the heat energy used to melt the ice in the copper pan lost?

No, the heat energy used to melt the ice in the copper pan is not lost. It is simply transferred from the heat source to the ice and surrounding environment. However, some of the heat energy may be lost to the environment through conduction, convection, and radiation.

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