Question 352: Properties of Matter

Question

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at 100
o
C, while the other one is at 0
o
C. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is

Accepted Answer

If the final common temperature is T
c
, C
c
and C
h
average heat capacities of cold and hot bodies then as per principle of calorimetry,
heat lost = heat gained
C
h
(100ÃÂ°C Ã¢ÂÂ T
c
) = C
c
ÃÂ T
c
Now T
c
= C
h
/(C
h
+ C
c
) ÃÂ 100ÃÂ°C
= 100/[1 + (C
c
/C
h
)],     where C
c
/C
h
Ã¢ÂÂ(100/2)ÃÂ°CÃ¢ÂÂorÃ¢ÂÂT
c
Ã¢ÂÂ>Ã¢ÂÂ50ÃÂ°C

Answer

50
o
C

Answer

more than 50
o
C

Answer

less than 50
o
C but greater than 0
o
C

Answer

0
o
C

Properties of Matter

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at 100 o C, while the other one is at 0 o C. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is

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