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When you put a piece of metal into a cup of water, why is the magnitude...

When you put a piece of metal into a cup of water, why is the magnitude of the change in thermal energy ∆Eth of the water the same as the change in thermal energy of the metal? But why is the change in temperature ∆T of the water not the same as that of the metal?

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The change in thermal energy of water is the same as the change in thermal energy of the metal because losing heat energy is equal to gaininng heat energy (by Calorimetry principle).

The change in temperature of any element or compound depends on specific heat of these.Specific heat is defined as "amount of heat (thermal energy) required to change temperature by 1 degree celsius of 1 gram substance".

   specific heat of water=1 calorie/gram °C

  specific heat of metal= 0.21 calorie/gram °C  of Antimony

Due to having different value of specific heat the change in temperature of water not the same as that of the metal..

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