# heat problem

**1. The problem statement, all variables and given/known data**

The "steam" above a freshly made cup of instant coffee is really water vapor droplets condensing after evaporating from the hot coffee. What is the final temperature of 290 g of hot coffee initially at 90.0°C if 1.50 g evaporates from it? The coffee is in a Styrofoam cup, and so other methods of heat transfer can be neglected. Assume that coffee has the same physical properties as water.

**2. Relevant equations**

Q = mcΔT thats the only equation that i saw fit, but i dont know how to utilize it in this situation

**3. The attempt at a solution**

the answer is 87.2

i tried writing two heat equations like (290g)(T_{f}– 90^{0}C) = (1.50)(100)

but i don’t know if thats right. please point me in the right direction

thanks

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