"A metallic sphere cools from 50oC to 40o in 300 s. If atmospheric temperature around is 20oC, then the sphere’s temperature after the next 5 minutes will be close to :"

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"$${{\Delta T} \over {\Delta t}} = k\left( {{{{T_f} + {T_i}} \over 2} - {T_0}} \right)$$

$\Rightarrow$ ${{50 - 40} \over {300}} = k\left( {{{90} \over 2} - 20} \right)$

$\Rightarrow$ ${{40 - T} \over {300}} = k\left( {{{40 + T} \over 2} - 20} \right)$

$\Rightarrow$ ${{10} \over {40 - T}} = {{25 \times 2} \over {40 + T - 40}}$

$\Rightarrow$ ${1 \over {40 - T}} = {5 \over T}$

$\Rightarrow$ $T = 200 - 5T$

$\Rightarrow$ $6T = 200$

$\Rightarrow$ $T = 33^\circ C$"

A metallic sphere cools from 50^oC to 40^o in 300 s. If atmospheric temperature around is 20^oC, then the sphere’s temperature after the next 5 minutes will be close to :

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A metallic sphere cools from 50oC to 40o in 300 s. If atmospheric temperature around is 20oC, then the sphere’s temperature after the next 5 minutes will be close to :

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A metallic sphere cools from 50^oC to 40^o in 300 s. If atmospheric temperature around is 20^oC, then the sphere’s temperature after the next 5 minutes will be close to :