Specific Heat Capacity of a metal bar placed into water

In summary, the previously solved thermal energy gained by water is 11035.2 J, but it is unclear how it relates to the cooling of the metal. The corresponding equation for the metal's change in temperature is needed and an unknown for the metal's specific heat must be created.
  • #1
lxhull
4
1
Homework Statement
A thermos bottle contains 0.150 kg of water at 4.1 °C. When 9.00 x 10^-2 kg of a metal, initially at 96.2 °C, is put into the water, the temperature of the water rises to 21.7 °C. Calculate the specific heat of the metal
Relevant Equations
C= Eth/mT
Previously solved thermal energy gained by water as
Eth= 0.15(4180)(17.6) = 11035.2 J
Not sure if its relevant
 
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  • #2
lxhull said:
Not sure if its relevant
It is. How does it relate to the cooling of the metal?
 
  • #3
haruspex said:
It is. How does it relate to the cooling of the metal?
That's the problem, I don't know. It seems like it can't be part of the equation for the metal's shc because it used the waters shc, so I can't figure it out.
 
  • #4
lxhull said:
That's the problem, I don't know. It seems like it can't be part of the equation for the metal's shc because it used the waters shc, so I can't figure it out.
Just write the corresponding equation for the metal's change in temperature. Create an unknown for the metal's s.h.
 
  • #5
lxhull said:
Homework Statement:: A thermos bottle contains 0.150 kg of water at 4.1 °C. When 9.00 x 10^-2 kg of a metal, initially at 96.2 °C, is put into the water, the temperature of the water rises to 21.7 °C. Calculate the specific heat of the metal
Relevant Equations:: C= Eth/mT

Previously solved thermal energy gained by water as
Eth= 0.15(4180)(17.6) = 11035.2 J
Not sure if its relevant
Corrrct so far.
 

1. What is specific heat capacity?

Specific heat capacity is a measure of the amount of heat energy required to raise the temperature of a substance by 1 degree Celsius per unit mass. It is often denoted by the symbol "c" and has units of J/(g·°C) in the metric system.

2. How is specific heat capacity different from heat capacity?

Specific heat capacity is an intensive property, meaning it is independent of the amount of substance being measured. Heat capacity, on the other hand, is an extensive property and depends on the mass or size of the substance. This means that specific heat capacity is a more useful measure for comparing the heating abilities of different substances.

3. How is specific heat capacity of a metal bar determined?

The specific heat capacity of a metal bar can be determined experimentally by measuring the change in temperature of the bar when a known amount of heat energy is transferred to it. This can be done by immersing the metal bar in a known volume of water at a known temperature and measuring the change in temperature of the water and the bar. The specific heat capacity can then be calculated using the formula c = Q/(mΔT), where Q is the heat energy transferred, m is the mass of the metal bar, and ΔT is the change in temperature.

4. Why is the specific heat capacity of different metals different?

The specific heat capacity of a substance depends on its molecular structure and composition. Different metals have different atomic and molecular structures, which affects how they absorb and store heat energy. Some metals have a higher specific heat capacity because they have more complex structures and require more energy to raise their temperature.

5. How does the specific heat capacity of a metal affect its use in different industries?

The specific heat capacity of a metal can have a significant impact on its use in different industries. Metals with high specific heat capacities are often used in applications where heat needs to be absorbed or released, such as in cooking or in heating and cooling systems. Metals with low specific heat capacities are more useful in industries where fast heat transfer is desired, such as in electronics or in the production of steam.

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