Question

Little help with...
The higher the specific heat of the metal,


a. the more dense the metal is
b. the longer it takes for the metal to cool
c. the longer it takes for the metal to heat up
d. the more the metal weighs

Pretty sure it's just A and B, not completely sure though.

Answer 1

The specific heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

Answer 2

I think will be B and C. There is some correlation of heat capacity and density but I dont think this is the case and it looks opposite than the option A

Corollaries of these considerations for solids (volume-specific heat capacity)
Since the bulk density of a solid chemical element is strongly related to its molar mass (usually about 3 R per mole, as noted above), there exists a noticeable inverse correlation between a solid’s density and its specific heat capacity on a per-mass basis. This is due to a very approximate tendency of atoms of most elements to be about the same size (and constancy of mole-specific heat capacity) resulting in a good correlation between the volume of any given solid chemical element and its total heat capacity. Another way of stating this, is that the volume-specific heat capacity (volumetric heat capacity) of solid elements is roughly a constant. The molar volume of solid elements is very roughly constant, and (even more reliably) so also is the molar heat capacity for most solid substances. These two factors determine the volumetric heat capacity, which as a bulk property may be striking in consistency. For example, the element uranium is a metal which has a density almost 36 times that of the metal lithium, but uranium's specific heat capacity on a volumetric basis (i.e. per given volume of metal) is only 18% larger than lithium's.

https://en.wikipedia.org/wiki/Heat_capacity#Factors_that_affect_specific_heat_capacity