# What is the specific heat of the metal?

• hatingphysics
In summary, the conversation discusses the use of an equation to calculate the specific heat of a metal container containing water. The equation is [C(metal)*Mass(container)*deltaT(container)] + [4186*Mass(water)*deltaT(water)] = Cmetal*Mass(piece)*deltaT(piece). It is noted that the mass should be in grams and the specific heat of water should be approximately 4.2 J/kg. Assistance is requested to determine where an error may have occurred in the calculation process.
hatingphysics
A metal container, which has a mass of 9.0 kg contains 17.6 kg of water. A 2.0-kg piece of the same metal, initially at a temperature of 200.0°C, is dropped into the water. The container and the water initially have a temperature of 15.1°C and the final temperature of the entire system is 17.1°C. Calculate the specific heat of the metal.

I used this equation but I still can't seem to get the right answer...[C(metal)*Mass(container)*deltaT(container)] + [4186*Mass(water)*deltaT(water)] = Cmetal*Mass(peice)*deltaT(piece)

Your equation seems correct. Just make sure your mass is in grams and that the specific heat of water that you use is about 4.2 (I noticed you forgot to put a decimal there...or was that a typo?).

If you write out your steps you took, maybe one of us can help determine where your error lies.

it's not a typo. He did not present us with his units. This is the specific heat of water in J/kg.

## 1. What is specific heat of a metal?

The specific heat of a metal is the amount of heat needed to raise the temperature of one gram of the metal by one degree Celsius. It is a physical property that is unique to each type of metal.

## 2. How is specific heat measured?

Specific heat is typically measured using a calorimeter, which is a device that measures the change in temperature of a known mass of a substance when heat is added or removed. The specific heat is then calculated using the formula Q = mcΔT, where Q is the amount of heat added, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature.

## 3. Why is specific heat important?

Specific heat is important because it helps determine the thermal properties of a metal, such as how much heat it can absorb or release, and how quickly it can change temperature. This information is useful in various industries, including manufacturing and engineering, where the specific heat of a metal is taken into consideration when designing and building structures or machinery.

## 4. What factors can affect the specific heat of a metal?

The specific heat of a metal can be affected by its composition, density, and crystal structure. Other factors that can influence specific heat include temperature, pressure, and the presence of impurities. Additionally, the specific heat of a metal may vary depending on whether it is measured at constant pressure or constant volume.

## 5. How does specific heat differ among different metals?

The specific heat of a metal can vary greatly among different types of metals. For example, the specific heat of copper is 0.385 J/g℃, while the specific heat of iron is 0.450 J/g℃. This is because each metal has a unique atomic and molecular structure, which affects its ability to absorb and release heat. Generally, metals with a higher atomic mass tend to have a higher specific heat.

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