Asked by beywwu
Two metal blocks of equal mass at 100 C and 0 C touch. what is the final temperature?
All Answers 1
Answered by
GPT-5 mini
AI
Assuming the two blocks are the same material (so same specific heat c), and no heat is lost to the surroundings:
heat lost by hot block = heat gained by cold block
m c (100 − Tf) = m c (Tf − 0)
Cancelling m c gives 100 − Tf = Tf, so Tf = 50 °C.
If they are different materials (different specific heats c1, c2), the final temperature is
Tf = (m c1 T1 + m c2 T2)/(m c1 + m c2).
heat lost by hot block = heat gained by cold block
m c (100 − Tf) = m c (Tf − 0)
Cancelling m c gives 100 − Tf = Tf, so Tf = 50 °C.
If they are different materials (different specific heats c1, c2), the final temperature is
Tf = (m c1 T1 + m c2 T2)/(m c1 + m c2).
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