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Standard XII

Chemistry

Heat Capacity

Four spheres ...

Question

Four spheres $A, B, C$ and $D$ of different metals but of same radius are kept at same temperature.The ratios of their densities and specific heats are $2 : 3 : 5 : 1$ and $3 : 6 : 2 : 4 .$ Which sphere will show the fastest rate of cooling (initially)?

A

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B

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C

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D

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Solution

The correct option is B $B$
$\begin{matrix} R a t e o f c o o l i n g = \frac{- d θ}{d t} = \frac{b^{'} A}{m s} (θ - θ_{o}) = \frac{3 b^{'}}{ρ R S} (θ - θ_{o}) T h e m a x i m u m ρ S i s o f B . A n s . (B) \end{matrix}$

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Four spheres A,B,C and D of different metals but of same radius are kept at same temperature.The ratios of their densities and specific heats are 2:3:5:1 and 3:6:2:4. Which sphere will show the fastest rate of cooling (initially)?

The correct option is B BRateofcooling=−dθdt=b′Ams(θ−θo)=3b′ρRS(θ−θo)ThemaximumρSisofB.Ans.(B)

Four spheres $A, B, C$ and $D$ of different metals but of same radius are kept at same temperature.The ratios of their densities and specific heats are $2 : 3 : 5 : 1$ and $3 : 6 : 2 : 4 .$ Which sphere will show the fastest rate of cooling (initially)?

The correct option is B $B$
$\begin{matrix} R a t e o f c o o l i n g = \frac{- d θ}{d t} = \frac{b^{'} A}{m s} (θ - θ_{o}) = \frac{3 b^{'}}{ρ R S} (θ - θ_{o}) T h e m a x i m u m ρ S i s o f B . A n s . (B) \end{matrix}$