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## Homework Statement

A 2.8 kg sample of a metal with a specific heat of 0.43KJ/KgC is heated to 100.0C then placed in a 50.0 g sample of water at 30.0C.* What is the final temperature of the metal and the water?

## Homework Equations

heat loss by the metal = heat gain by the water

## The Attempt at a Solution

I solve it this way:

2800 g x 430 J/gC x (Tf-100) = 50 g x 4.2 J/gC x (Tf - 30)

my final answer is 100 C,

please help me check what makes my answer wrong because the answer on the key is 97C...

Thanks a lot....