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Q.

A black body calorimeter filled with hot water cools from $60 ° C$ to $50 ° C$ in 4 min and $40 ° C$ to $30 ° C$ in 8 min. The approximate temperature of the surroundings is

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a

$10 ° C$

b

$15 ° C$

c

$20 ° C$

d

$25 ° C$

answer is B.

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Detailed Solution

$\frac{θ_{1} - θ_{2}}{t} = α [\frac{θ_{1} + θ_{2}}{2} - θ_{0}]$
Here, $θ_{0}$ is the temperature of surroundings,
Substituting the values we have
$\frac{60 - 50}{4} = α [\frac{60 + 55}{2} - θ_{0}]$
(2)Solving these two equations we get, $θ_{0} = 15^{0} C$

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