A body takes $T$ minutes to cool from $62^\circ \mathrm{C}$ to $61^\circ C$ when the surrounding temperature is $30^\circ \mathrm{C}$ . The time taken by the body to cool from $70^\circ$ to $(A_1 \text{ and } A_2)$ is
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In first step
$\frac{62-61}{T} = K \left[ \frac{62-61}{2} - 30^\circ \right]$ ⇒ ⇒ $\frac{1}{\tau} = K[81.5]$ ...(i)
In second step, suppose process takes $T'_{\min}$ then
$\frac{46 - 45.5}{T'} = k \left[ \frac{46 - 45.5}{2} - 30 \right]$ $\frac{0.5}{T'} = K[15.75]$ ...(ii)
On diving equation (i) and (ii)
$\frac{2T}{T} = 2$ ⇒ ⇒ $\mathbf{T}' = \mathbf{T}$
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