How can I calculate the heat lost by the metal in a styrofoam cup calorimeter?

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SUMMARY

The discussion focuses on calculating the heat lost by metal in a styrofoam cup calorimeter using the formula qmetal = - (qwater + qcalorimeter). The user has provided specific variables: mass and temperature of the metal, mass and temperature of the cool water, and the final temperature after the metal's insertion. It is established that the heat capacity of the styrofoam cup calorimeter can be assumed to be zero for simplification, allowing the calculation to focus solely on the heat exchange between the water and the metal.

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HeartSoul132
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I'm given:
mass metal
temp metal
mass cool water
temp water
final temp (after insertion of metal)

(note: this is in a styrofoam cup calorimeter)
I need to find the amount of heat lost by the metal, qmetal.

The only hint is:
qmetal = - (qwater + qcalorimeter).

Desperately tried, can't figure it out.

I know by q = mc deltaT that the qwater is 4.1... J, but can't figure out what qcalor is!
 
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And if it is not given you generally can't do anything.

However, styrofoam cup calorimeter is designed to have as low heat capacity as possible. If it is not given, you can try to solve the question assuming that calorimeter heat capacity is zero, and heat exchange takes place between water and metal only.
 

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