Suppose we have two objects of masses $m_1$ and $m_2$, and temperature $T_1$ and $T_2$ respectively. Let them be in contact till they reach a final temperature $T$.
Question: $T$ will be closer to $T_1$ or $T_2$? Assume there is no heat exchange between the objects and surroundings. We can further assume the two objects are made of same material.
My intuition tells me that final temperature will be closer to object which has higher mass. But I have no idea whether my intuition is valid or not.
If someone can provide me a mathematical proof then it would be better.