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Conduction Law: Differential Form

Two circular ...

Question

Two circular disc $A$ and $B$ with equal radii are blackened. They are heated to same temp. and are cooled under identical conditions. What inference do you draw from their cooling curves ?

A

and

B

have same specific heats.

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Specific heat of

A

is less.

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Specific heat of

B

is less.

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Solution

The correct option is C Specific heat of $B$ is less.
The heat absorbed by a body is given by:
$d Q = m C d T$
i.e.
$˙ Q =$ Rate of heat transfer/cooling $= m c \frac{d T}{d t}$
$\frac{d T}{d t} = - k A (θ - θ_{0})$
Hence,
$˙ - Q = m c K A (θ - θ_{0})$ Hence higher the slope, larger is the specific heat capacity.
i.e. specific heat of B is less.

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Two circular disc A and B with equal radii are blackened. They are heated to same temp. and are cooled under identical conditions. What inference do you draw from their cooling curves ?

The correct option is C Specific heat of B is less.The heat absorbed by a body is given by:dQ=mCdTi.e.˙Q= Rate of heat transfer/cooling =mcdTdtdTdt=−kA(θ−θ0)Hence,˙−Q=mcKA(θ−θ0) Hence higher the slope, larger is the specific heat capacity.i.e. specific heat of B is less.

Two circular disc $A$ and $B$ with equal radii are blackened. They are heated to same temp. and are cooled under identical conditions. What inference do you draw from their cooling curves ?