Calculate the final temperature of the metal.

In summary, the final temperature of a metal can be calculated using the formula Tf = (m1 x T1 + m2 x T2) / (m1 + m2), where Tf is the final temperature, m1 and m2 are the masses of the metal, and T1 and T2 are the initial temperatures of the metal. The final temperature will have the same units as the initial temperatures, and it can be negative if the initial temperatures are also negative and the masses are not equal. Factors such as specific heat capacity, heat transfer rate, and external influences can affect the accuracy of the calculation. This formula can be used for all types of metals, but the specific heat capacity may vary between different metals.
  • #1
bad at math gu
6
0
24.100kg of copper at 33.000 degrees Celsius receives 310.000 kJ of heat. Calculate the final temperature of the metal.


Homework Equations



Q=mc(t2-t1)



The Attempt at a Solution



I solved the equation for T1

T1=c*m*Q-T2 / C*m

The answer however seems really small and doesn't make sense, is this even the correct formula?
 
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  • #2
nvm this is the wrong formula how i would still like some help solving this question
 
  • #3
It's the right formula - you messed up the algebra.
You are supposed to be solving for the final temperature.

Try starting from ##Q=mc\Delta T##
 
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1. How do you calculate the final temperature of the metal?

The final temperature of a metal can be calculated using the following formula: Tf = (m1 x T1 + m2 x T2) / (m1 + m2), where Tf is the final temperature, m1 and m2 are the masses of the metal, and T1 and T2 are the initial temperatures of the metal.

2. What are the units for the final temperature of the metal?

The final temperature of the metal will have the same units as the initial temperatures, which are usually in degrees Celsius or Fahrenheit.

3. Can the final temperature of the metal be negative?

Yes, the final temperature of the metal can be negative if the initial temperatures of the metal are also negative and the masses are not equal. This indicates that the final temperature is lower than both initial temperatures.

4. Are there any factors that could affect the accuracy of the calculated final temperature?

Yes, there are several factors that could affect the accuracy of the calculated final temperature, such as the specific heat capacity of the metal, the rate of heat transfer, and any external influences on the metal (e.g. heat loss to the environment).

5. Can this formula be used for all types of metals?

Yes, this formula can be used for all types of metals as long as the masses and initial temperatures are known. However, it is important to note that different metals have different specific heat capacities, which may affect the final temperature calculation.

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