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Problem 14.44 A copper pot with a mass of 0.520kg contains0.155kg of water, and

ID: 1769461 • Letter: P

Question

Problem 14.44

A copper pot with a mass of 0.520kg contains0.155kg of water, and both are at a temperature of22.0?C . A 0.240kg block of iron at 84.0?C is dropped into the pot.

Part A

Find the final temperature of the system, assuming no heat loss to the surroundings.

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Problem 14.44

A copper pot with a mass of 0.520kg contains0.155kg of water, and both are at a temperature of22.0?C . A 0.240kg block of iron at 84.0?C is dropped into the pot.

Part A

Find the final temperature of the system, assuming no heat loss to the surroundings.

T =   ?C  

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Explanation / Answer

Heat lost by hot bodies = Heat gained by cold bodies

240*0.45*(84-x) = 520*0.386*(x-22) +155*4.179*(x-22)

108(84-x) = (x-22)(200.72+647.745)

9072-108x = 848.465x - 18666.23

27738.23 = 956.465x

x = 29 degree centigrade