Question 291: Properties of Matter

Question

In 5 minutes, a body cools from 75$$^\circ$$C to 65$$^\circ$$C at room temperature of 25$$^\circ$$C. The temperature of body at the end of next 5 minutes is _________$$^\circ$$ C.

Accepted Answer

$${{75 - 65} \over 5} = k\left( {{{75 + 65} \over 2} - 25} \right)$$
$$ \Rightarrow k = {2 \over {45}}$$
$${{65 - T} \over 5} = k\left( {{{65 + T} \over 2} - 25} \right)$$
$$ \Rightarrow T = 57^\circ $$ C

Properties of Matter

In 5 minutes, a body cools from 75$^\circC to 65^\circC at room temperature of 25^\circC. The temperature of body at the end of next 5 minutes is _________^\circ$ C.

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