Heat capacity problemhelpplease

In summary, to determine the specific heat of a metal alloy, a 0.150 kg sample is heated to 400 degrees C and placed in a calorimeter with 0.20 kg of aluminum and 0.40 kg of water. After adding 14 g of ice and allowing the mixture to reach 30.5 degrees C, the goal is to find the heat capacity of the alloy. This can be done by using the units of Joules per kilogram per kelvin, and looking up the specific heat of aluminum and water, as well as the heat of melting of water. The original temperature of the calorimeter and water is needed, but not given. There is no mention of heat of vaporization since the water
  • #1
nikan_ange
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0

Homework Statement



to determine the specific heat of a metal alloy, a 0.150 kg of the substance is heated to 400 degrees C ad then placed in a 0.20 kg aluminum calorimeter containing 0.40 kg of water. if a 14 g of ice is placed on it and the mixture reached the temperature of 30.5 degrees C, what is the heat capacity of the alloy?

The Attempt at a Solution


the hint given by our teacher is to get the heat capacity and heat vaporization of steam

pls help me with this prob...we were only taught for a very short time about this..:confused:
 
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  • #2
What is the definition of "heat capacity"? In particular looking at the units, Joules per kilogram per kelvin, should help you see what you need to do. One thing you will need to know, that is not given here, is original temperature of the calorimeter and water. I don't see any need for "heat of vaporization" since the water does not appear to vaporize here but you will want to look up the specific heat of aluminum and water and the heat of melting of water.
 

Related to Heat capacity problemhelpplease

1. What is heat capacity and why is it important?

Heat capacity is the amount of heat energy required to raise the temperature of a substance by 1 degree Celsius. It is an important property because it helps us understand how different materials respond to changes in temperature and how much heat energy they can absorb or release.

2. How is heat capacity measured?

Heat capacity is usually measured by performing experiments where a known amount of heat energy is introduced to a substance and the resulting change in temperature is measured. The heat capacity is then calculated using the formula Q = mcΔT, where Q is the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

3. What factors affect the heat capacity of a substance?

The heat capacity of a substance is affected by its mass, specific heat capacity, and temperature. Generally, substances with higher specific heat capacities will have higher heat capacities, and substances with higher masses will require more heat energy to change their temperature. Additionally, the heat capacity of a substance may also change with temperature.

4. How does heat capacity relate to thermal conductivity?

Heat capacity and thermal conductivity are related but different properties. Heat capacity measures the ability of a substance to store heat energy, while thermal conductivity measures the ability of a substance to transfer heat energy. Materials with high thermal conductivity will transfer heat energy quickly, but may not necessarily have a high heat capacity.

5. How can heat capacity be useful in real-world applications?

Heat capacity has many real-world applications, such as in the design of heating and cooling systems, the development of insulating materials, and in the study of thermodynamics. It is also an important factor in understanding climate change and the Earth's energy balance.

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