What was the initial temperature of the copper?

In summary, the problem states that 8.0 g of aluminum at 200 C and 22 g of copper are dropped into 55 cm^3 of ethyl alcohol at 15 C. The temperature quickly comes to 28 C. The goal is to find the initial temperature of the copper. Using calorimetry equations, the initial temperature can be found by setting the heat lost equal to the heat gained. After rearranging the equation, the initial temperature of copper can be calculated using the given values for mass, specific heat capacity, and temperatures of the substances. However, the equation does not account for the presence of water in the problem, which may affect the accuracy of the solution.
  • #1
bigboss
28
0

Homework Statement



8.0 g of aluminum at 200 C and 22 g of copper are dropped into 55 cm^3 of ethyl alcohol at 15 C. The temperature quickly comes to 28 C. What was the initial temperature of the copper?

Homework Equations


The Attempt at a Solution



tried using calorimetry equations, not getting anywhere.
 
Last edited:
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  • #2
Have to give the equations i haven done SHC for 3years although i don't think that that question is hard.
 
  • #3
heat lost = heat gained
or m1 * s1 * t1 + m2 * s2 * t2 + m3 * L = m1 * s1 * tf + m2 * s2 * tf + m3 * s3 * tf
solving the above equation for t2 we get
t2 = (m1 * s1/m2 * s2) * (tf - t1) + (m3/m2 * s2) * (s3 * tf - L)
m1 = 11 g = 11 * 10^-3 kg
s1 = 900 J/kg/K
t1 = 200 oC = (200 + 273) K = 473 K
m2 = 21 g = 21 * 10^-3 kg
s2 = 387 J/kg/K
t2 = the initial temperature of copper
m3 = ρ * V = 790 * 46 * (10^-2)^3 = 36.34 * 10^-3 kg
L is the latent heat of fusion of ethyl alcohol and is equal to 1.08 * 10^5 J/kg
tf = 22 oC = (22 + 273) K = 295 Knot working.
 
Last edited:
  • #4
I do not see any water in the problem.

ehild
 
  • #5
thanks for the notice, edited it, and stil not getting the correct answer
 

Related to What was the initial temperature of the copper?

1. What is the initial temperature of the copper?

The initial temperature of copper can vary depending on the specific experiment or scenario. In general, copper has a melting point of 1084.62 degrees Celsius and a boiling point of 2562 degrees Celsius at standard pressure. In most experiments, copper is initially at room temperature, which is around 25 degrees Celsius.

2. How can the initial temperature of copper be measured?

The initial temperature of copper can be measured using a thermometer. The thermometer can be placed in direct contact with the copper or in the surrounding environment to get an accurate reading. Other methods such as infrared thermometers or thermal imaging cameras can also be used to measure the initial temperature of copper.

3. Why is knowing the initial temperature of copper important in experiments?

Knowing the initial temperature of copper is important in experiments because it helps establish a baseline for comparison. The initial temperature can affect the outcome of the experiment and can help determine the rate of change or reaction. It also allows for more accurate data analysis and conclusions.

4. Can the initial temperature of copper affect its properties?

Yes, the initial temperature of copper can affect its properties. When heated, copper can become more malleable and ductile, making it easier to shape and work with. Higher temperatures can also affect the conductivity and resistance of copper, which are important properties in many applications.

5. How does the initial temperature of copper relate to its thermal conductivity?

The initial temperature of copper can affect its thermal conductivity. In general, as the temperature of copper increases, its thermal conductivity also increases. This is because higher temperatures cause the copper atoms to vibrate more vigorously, allowing for more efficient transfer of heat energy. However, at extremely high temperatures, the thermal conductivity of copper may decrease due to other factors such as changes in crystal structure.

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