Specific Heat Capacity Question

AI Thread Summary
To determine the mass of milk added to coffee, the equation Tf = (T1 * m1 + T2 * m2) / (m1 + m2) can be rearranged to isolate one of the masses. The final temperature (Tf) is given as 76.8 degrees Celsius, with the initial temperatures of coffee and milk at 91 degrees and 11 degrees Celsius, respectively. The key is to treat the equation as a weighted average and ensure all temperatures are converted to Kelvin if necessary. By substituting the known values and solving for the unknown mass, the problem can be resolved. This approach will yield the mass of milk required to achieve the desired final temperature.
chops369
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Homework Statement


How much milk at 11 degrees Celcius was added to 0.16 kg of coffee at 91 degrees Celcius if the final temperature is 76.8 degrees Celcius?


Homework Equations


Well my teacher explained how to rearrange cm∆T = cm∆T to somehow come up with an equation to solve for the final temperature: Tf = T1 * m1 + T2 * m2 / (m1 + m2) How would I rearrange that to solve for one of the masses?


The Attempt at a Solution


No idea :(
 
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chops369 said:

Homework Statement


How much milk at 11 degrees Celcius was added to 0.16 kg of coffee at 91 degrees Celcius if the final temperature is 76.8 degrees Celcius?

Homework Equations


Well my teacher explained how to rearrange cm∆T = cm∆T to somehow come up with an equation to solve for the final temperature: Tf = T1 * m1 + T2 * m2 / (m1 + m2) How would I rearrange that to solve for one of the masses?

The Attempt at a Solution


No idea :(

I think you are missing a parentheses.

Tf = (T1 * m1 + T2 * m2) / (m1 + m2)

You want to consider the rather aptly named weighted average to determine your answer. Remember though that temperatures need to be in Kelvin.

As to solving for a mass, it's your only unknown. Think Nike: Just do it.
 
I'm not too sure I catch your drift.
 
chops369 said:
I'm not too sure I catch your drift.

Just plug in the numbers and solve.
 

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