The specific heat capacity of a liquid substance is not necessarily greater than that of a solid substance. For example, the specific heat capacity of mercury is less than that of copper, so this option is incorrect.
B, when the same substance is in different states, the specific heat capacity will change. For example, water and ice are different states of the same substance, so the specific heat capacity is different, so this option is incorrect;
C, copper and lead have the same mass, absorb the same heat, and have large specific heat capacity, so the rising temperature is relatively low, so this option is incorrect;
D. When the aluminum block and the copper block with equal mass raise the same temperature, the aluminum block absorbs more heat because of its large specific heat capacity, so this option is correct. So I chose D.