A system S receives heat continuously from an electrical heater of power 10 W. The temperature of S becomes constant at 50°C when the surrounding temperature is 20°C. After the heater is switched off, S cools from 35.1°C to 34.9°C in 1 minute. The heat capacity of S in J/°C is

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answer is 1500.

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Detailed Solution

Power absorbed from heater = Power radiated to surrounding - Power absorbed from surrounding

$10 = e A σ 4 {(323)}^{3} (323 - 293)$ ...............(1)

After switching off the heater,

$\frac{(35.1 - 34.9)}{(60)} = \frac{e A σ 4 {(323)}^{3}}{m s} (35 - 20)$ .................(2)

After solving we get,

$ms = 1500 J / {}^{\circ}C$

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