You apply the same amount of heat to five grams of substance a and five grams of substance b. the temperature of both substances increases by the same amount. what can you conclude?

From the given statement, it can be concluded that both substance a and substance b has the same heat capacity or thermal capacity. It can also be possible that both the substances are same and so their heat capacity or thermal capacity is also same. Thermal capacity of any substance is amount of energy that is required to raise the temperature of the substance through a specific range. Under normal circumstances this range varies from substance to substance based on the type.