Calorimetry Problem I was doing a problem in thermodynamics where the net heat is 0. I don't und

Oberhangaps5z

Oberhangaps5z

Answered question

2022-05-17

Calorimetry Problem
I was doing a problem in thermodynamics where the net heat is 0.
I don't understand why if you have say a copper calorimeter with water at say 15 °C and add a mass of copper at a higher temperature say 90 °C that when calculating the final temperature you would use for the copper piece this in the formula:
Q = m c ( T f T i )
Q = m c ( T f T i )
Where f is for final and i is for initial. Say mass is 0.3 kg. I was told that regarding T f T i I would need to use 90 T. This problem was to work out the final temperature of the system. Why was the initial 90 °C of the added copper substituted with T f in the heat equation?

Answer & Explanation

Jamal Hamilton

Jamal Hamilton

Beginner2022-05-18Added 11 answers

Heat lost by copper calorimeter = Heat gained by water
m c ( T f T i ) = m w c w ( T f T i )
For thermal equilibrium final temperature for both the components will be the same. Let the equilibrium temperature be T and 15 C T 90 C
m c ( T 90 ) = m w c w ( T 15 )
m c ( 90 T ) = m w c w ( T 15 )
Its quite easy. When a hot object is kept in contact with a cooler object, the hot thing will lose heat and the cold thing will gain that energy. Therefore, for the hot object Δ Q = v e and for the cold object Δ Q = + v e
To avoid confusion just use the magnitudes of their respective change in heat.
Flakqfqbq

Flakqfqbq

Beginner2022-05-19Added 2 answers

This is the concept based on heat gained = heat lost.we basically have
m 1 c 1 ( δ T 1 ) = m 2 c 2 ( δ T 2 )
we are now concerned of either heat lost or heat gained. By ( 90 T ) we mean that the temperature of copper has gone down. And by ( T 90 ) we mean the temperature of the body has gone up. That's the difference. Hope it was helpful

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