First slide

Radiation

Question

A calorimeter of mass 0.2 kg and specific heat 900 $J / kg / K .$ Containing 0.5 kg of a liquid of specific heat 2400J/kg/K. Its temperature falls from $60^{0} C to 55^{0} C in one minute . Find the rate of cooling .$

Moderate

A

5 J/s
B

15 J/s
C

100 J/s
D

115 J/s

Solution

Rate of cooling (here it is rate of loss of heat)
$\frac{dQ}{dt} = (mc + W) \frac{dQ}{dt} = (m_{1} c_{1} + m_{c} c_{c}) \frac{dθ}{dt}$
$\Rightarrow \frac{dQ}{dt} = (0.5 \times 2400 + 0.2 \times 900) (\frac{60 - 55}{60})$
= 115 J/sec

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