Please show all work and use correct signifigant figures Thanks! Find the specif

Question

Please show all work and use correct signifigant figures

Thanks!

Find the specific heat of the metal. The mass of a metal is 253 grams and is placed into a beaker of water, and the temperature is 100 degrees Celsius. After time, the metal's temperature becomes the same as the water's in the beaker. The metal is then taken out of the beaker, dried off, and added to another beaker of water where the temperature is 56 degrees Celsius, and has a mass of 200 grams. The final temperature of the beaker is 45 degrees Celsius. Use 4186 J/kg degree C for the specific heat of water.

Explanation / Answer

Given,

Temperature of the water initially is 56 C.

After we added the metal at 100 C to the beaker, the temperature of the beaker dropped to 45 C

In this case we see that there is no heat gained by any. Both loose there heat (Both have a temp. drop to 45 C)

(This shows that there might be some discrepancy with the data)

Anyways, we assume that the specific heat of metal to be C

Total heat is conserved, Hence

0.2 x 4186 x (56 - 45) + 0.253 x C x (100 - 45) = 0

where,

0.2 x 4186 x (56 - 45) = mc delta T = Heat Lost by water

0.253 x C x (100 - 45) = Heat lost by metal

=> C = - 661.82 J/Kg degree C

C comes out to negative due to the discrepancy in the data provided

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