What is the Final Temperature of the White Coffee?

AI Thread Summary
To find the final temperature of the white coffee after adding milk, the specific heat capacities of both liquids are assumed to be equal. The problem involves calculating the temperature using the formula T = (m1*C1*T1 + m2*C2*T2) / (m1*C1 + m2*C2). Since the specific heat capacities are not provided, the user is unsure how to proceed with the calculation. The assumption that C1 equals C2 allows for simplification, enabling the user to factor out the specific heat terms. The discussion highlights the need for clarification on specific heat values to solve the problem effectively.
bidhati
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Homework Statement


A person has 300 g of black coffee at temperature 350 K in a vacuum
flask. 100 g of milk at 280 K are added to the coffee (the flask is immediately closed, so the loss of heat to the air is negligible). Assuming that the specific heat capacities of the coffee and milk are equal, calculate the temperature of the white coffee (black coffee + milk) after the milk has been added.


Homework Equations


C = Q/ delta T
T = m1*C1*T1 + m2*C2*T2 / M*C2 + m1*C1

The Attempt at a Solution



This is where I am going mad I am not given specific heat capacities thus I have no idea as too how to go about solving this problem.
 
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If C1=C2, then you can factor all those terms out...
 
thank you
 

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