# Specific Heat Capacity Question

## 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?

No idea :(

## Answers and Replies

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LowlyPion
Homework Helper

## 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.

LowlyPion
Homework Helper
I'm not too sure I catch your drift.
Just plug in the numbers and solve.