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Question:

Can anyone help me with my calculations from my lab on specific heat?

This was a lab experiment and I am confused as to how to solve this problem. I have to formula's and results but it's still not clicking in my brain. We had to determine what four unknown metals were using calorimetry. I'll just give the results from unknown metal one and the known copper metal info. If anyone can point me in the right direction I'd appreciate it!FORMULA:Smetal [(Tf-T water) / (T metal-Tf)][gm water + Kc / gm metal]Tf is final temp after thermal equilibrium is achievedTwater intial temp of water and calorimeterTmetal is the intial temperature of metal bargmwater is the mass of water gmmetal is the mass of the metal barMY RESULTS:Known Copper Metal:mass of bar: 57.210 gmass of calorimeter w/ water: 33.63 gintial temp: 20.89 Cfinal temp:35.78 C Unkown Metal #1:mass of bar: 18.06 gmass of calorimeter w/ water: 27.18 gintial temp: 24.10 Cfinal temp: 38.21 CThis is all my results. I keep thinking I am missing something but I have no clue what I am doing. Please help, thanks in advance!

Answer:

I am not familiar this equation, but I think I know what you are missing. Smetal is the specific heat of metal. So for the known, you need to look this up in a book. then you can solve for Kc. Kc must be some constant for the calorimeter, I am not sure. It looks like you are missing the initial metal temperature. However, you could make the assumption that the water and the metal bar were initially at the same temperature. If they were both allowed to sit in a room for a while and equalize this could be a reasonable assumption. Then once you know the constant I think you have the information to plug in the info for the unknown and solve for the specific heat. I think you just need that one assumption, then plug and solve for Kc then use that for the unknowns. The specific heat of Cu 0.385 J/g°C
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