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.
 

FAQ: Specific Heat Capacity of a metal bar placed into water

What is specific heat capacity?

Specific heat capacity is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. It is a property that indicates how much energy a material can store.

How do you measure the specific heat capacity of a metal bar placed into water?

To measure the specific heat capacity of a metal bar, you can use the method of calorimetry. This involves heating the metal bar to a known temperature, then placing it into water of known mass and temperature. By measuring the temperature change of the water, you can calculate the specific heat capacity of the metal using the principle of conservation of energy.

What is the formula for calculating the specific heat capacity in this experiment?

The formula used is: \( q = mc\Delta T \), where \( q \) is the heat absorbed or released, \( m \) is the mass of the substance, \( c \) is the specific heat capacity, and \( \Delta T \) is the change in temperature. For the metal bar and water system, you set the heat lost by the metal equal to the heat gained by the water to solve for the specific heat capacity of the metal.

Why is it important to know the specific heat capacity of a metal?

Knowing the specific heat capacity of a metal is important for various applications, such as material selection in engineering, understanding thermal properties in physics, and designing systems for heating and cooling. It helps in predicting how a material will respond to changes in temperature.

What factors can affect the accuracy of the specific heat capacity measurement?

Several factors can affect the accuracy, including heat loss to the environment, inaccurate temperature measurements, impurities in the metal or water, and assuming no heat exchange with the container. Proper insulation, precise instruments, and careful experimental design can help minimize these errors.

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