Specific Heat Capacity

Heat Capacity and Temperature Relationship

As the temperature increases, the heat capacity also increases. Hence, the heat capacity of the second substance is greater than the first. Let the heat capacities be and for the first and second substances, respectively, and let the common temperature be . The equation for heat transfer is:

We can simplify this equation to:

This implies:

Since , it follows that:

Conclusion:

The temperature must be greater than 50 for the heat capacity of the second substance to be greater than the first.