Question

Two objects are made of the same material, but they have different masses and temperatures. If the objects are brought into thermal contact, which one will have the greater temperature change

Answer 1

The smaller body will have greater temperature change.

Explanation:

Temperature is defined as the degree of hotness or coldness of a body. The relationship of the temperature with heat is described as

Q =m c dT.

Where Q is the heat content

m is the mass of body

c is the specific heat of body

dT is the temperature change of body.

Here the bodies are made up of same substance, so specific heat is same. The mass of bigger body is M and smaller body is m.

So the temperature change of the body will be dependent on the mass of the body. Heat loss by one body will be equal to heat gained by the other.

So M dT1 = mdT2.

So, M/m = dT2 / dT1.

So the the smaller body will be suffering higher temperature change.