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Physics

A metal piece of thermal capacity 40 JK-1, absorbs 800 J of heat. Calculate the rise in the temperature of this metal piece.

Calorimetry

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Answer

Given,

  • Thermal capacity of the metal piece = 40 JK-1
  • Heat absorbed by the substance = 800 J

Let, rise in temperature be T.

As, thermal capacity of a substance is given by,

Thermal capacity=Heat absorbedTemperature riseTemperature rise=Heat absorbedThermal capacityT=80040T=20 K\text {Thermal capacity} = \dfrac{\text {Heat absorbed}}{\text {Temperature rise}} \\[1em] \Rightarrow \text {Temperature rise} = \dfrac{\text {Heat absorbed}}{\text {Thermal capacity}} \\[1em] \Rightarrow \text T = \dfrac{800}{40} \\[1em] \Rightarrow \text T = 20\ \text K

Since a rise of 1 K = 1°C, the rise in temperature is also 20°C.

Hence, the rise in the temperature of the metal piece is 20°C.

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