A student heats an insulated steel block using an electric heater. The temperature of the block rises. a) The heater supplies energy to the block in what form? How does the block store energy?
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- The electric heater converts electrical energy into thermal energy (heat). Show more…
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A metal block of heat capacity $80 \mathrm{~J}^{\circ} \mathrm{C}^{-1}$ placed in a room at $20^{\circ} \mathrm{C}$ is heated electrically. The heater is switched off when the temperature reaches $30^{\circ} \mathrm{C}$. The temperature of the block rises at the rate of $2{ }^{\circ} \mathrm{C} \mathrm{s}^{-1}$ just after the heater is switched on and falls at the rate of $0 \cdot 2^{\circ} \mathrm{C} \mathrm{s}^{-1}$ just after the heater is switched off. Assume Newton's law of cooling to hold. (a) Find the power of the heater. (b) Find the power radiated by the block just after the heater is switched off. (c) Find the power radiated by the block when the temperature of the block is $25^{\circ} \mathrm{C}$. (d) Assuming that the power radiated at $25^{\circ} \mathrm{C}$ represents the average value in the heating process, find the time for which the heater was kept on.
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