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A liquid initially at $75^{0} C$ cools to $55^{0} C$ in 12.5 minutes and to $45^{0} C$ in 10 minutes. Which of the following temperatures is not that of the surroundings.

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$45^{0} C$

$30^{0} C$

$20^{0} C$

$25^{0} C$

answer is A, B, C.

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Detailed Solution

$\frac{Δ θ}{Δ t} = K (\frac{θ_{1} + θ_{2}}{2} - θ_{S})$ Case (i) $\frac{75 - 55}{12.5} = K (65 - θ_{s})$ …………(1)

Case (ii) $\frac{55 - 45}{10} = K (50 - θ_{s})$ ……(2) From eq 1 and $θ_{s} = 25^{0} C$

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