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Question: In Newton's experiment of cooling, the water equivalent of two similar calorimeters is 10 gm each. T...

In Newton's experiment of cooling, the water equivalent of two similar calorimeters is 10 gm each. They are filled with 350 gm of water and 300 gm of a liquid (equal volumes) separately. The time taken by water and liquid to cool from 70oC70^{o}C to 60oC60^{o}C is 3 min and 95 sec respectively. The specific heat of the liquid will be

A

0.3 Cal/gm ×°C

B

0.5 Cal/gm ×°C

C

0.6 Cal/gm ×°C

D

0.8 Cal/gm ×°C

Answer

0.6 Cal/gm ×°C

Explanation

Solution

Sl=1ml[tltW(mWCW+W)W]S_{l} = \frac{1}{m_{l}}\left\lbrack \frac{t_{l}}{t_{W}}(m_{W}C_{W} + W) - W \right\rbrack

=1300[953×60(350×1+10)10]= \frac{1}{300}\left\lbrack \frac{95}{3 \times 60}(350 \times 1 + 10) - 10 \right\rbrack=0.6 Cal/gm×°C