Thermodynamics, heat in a copper cube transfer to water

In summary, the temperature of a copper cube of side 2.0 cm can be calculated by using the equation Q=mc theta, where Q is the heat supplied to the water, m is the mass of the copper, c is the specific heat capacity of copper, and theta is the change in temperature. By solving for the change in temperature, the original temperature of the copper can be determined in order to raise the temperature of 1.0 kg of water from 5 to 7 degrees Celsius.
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Homework Statement



When a copper cube of side of 2.0 cm is immersed into a perfectly insulated container filled with 1.0 kg of water at 5 degree celcius , the temperature of water rises to 7 degree celcius . Assuming that no heat is lost to the surrounding , calculate the original temperature of the cube .

Given density of copper = 8900 kg / m^3 , specific heat capacity of water = 4180 J/kg/K and specific heat capacity of copper = 385 J/kg/K

Homework Equations





The Attempt at a Solution



from Q=mc theta = 1(4180)(2) = 8360 J and this is the heat supplied to the water

mass of copper = (8900)(8 x 10^(-6)) = 0.0712 kg

8360=0.0712(385) d theta

d theta = 305 degree celcius but this is the change in temperature , how do i find the original temperature from there .
 
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  • #2


Final temperature of the mixture is 7 degrees
Change in temperature = Original temperature of the copper - final temperature of the mixture.
 

1. How does heat transfer occur in a copper cube?

In thermodynamics, heat transfer occurs through three main mechanisms: conduction, convection, and radiation. In the case of a copper cube, heat is transferred through conduction, which is the transfer of heat through a solid material. The atoms in the copper cube vibrate and collide with each other, transferring energy and heat throughout the cube.

2. Why is copper a good conductor of heat?

Copper is a good conductor of heat because of its high thermal conductivity. This means that the atoms in copper are closely packed together, allowing for faster and more efficient transfer of heat energy. Additionally, copper has a low specific heat capacity, meaning it can quickly absorb and release heat energy.

3. How is heat transferred from the copper cube to the water?

In this scenario, heat is transferred from the copper cube to the water through conduction. The copper cube is placed in direct contact with the water, allowing for the transfer of heat energy from the copper atoms to the water molecules.

4. What factors affect the rate of heat transfer in this system?

The rate of heat transfer in this system is affected by several factors, including the temperature difference between the copper cube and the water, the surface area of the copper cube in contact with the water, and the thermal conductivity of the materials involved. Additionally, the thickness of the copper cube and the type of water (e.g. distilled, tap, saltwater) can also impact the rate of heat transfer.

5. How can we calculate the amount of heat transferred from the copper cube to the water?

The amount of heat transferred from the copper cube to the water can be calculated using the formula Q = mcΔT, where Q is the amount of heat transferred, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature of the water. This formula takes into account the amount of water and how much the temperature of the water has changed due to the transfer of heat from the copper cube.

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