Equal amounts of heat are added to equal masses of substances A and B at the same temperature, but substance B gets hotter. What is true of their heat capacities?

Question

Equal amounts of heat are added to equal masses of substances A and B at the same temperature, but substance B gets hotter. What is true of their heat capacities?

a) c(A) > c(B)

b) c(B) > c(A)

c) c(A) = c(B)

d) not enough info

Answer 1

I think the answer is A.

Heat capacity is how much energy it takes to raise the temperature by 1 degree based on mass.

They told us that mass is the same, so we don't need to worry about the mass.

They told us that B gets hotter which means it takes less energy to raise the temperature than A does.

Therfore, the heat capacity of A is greater than the heat capacity of B.

Answer 2

Since B got hotter that means the specific heat capacity (C) of B is less/lower than that of A. Thus, the correct answer would be

a) c(A) > c(B)

Recall that specific heat is the amount of heat needed to raise 1 g or substance by 1 degree. So, if the masses are are the (1 g) and the heat is the same, then the substance with the lower heat capacity will increase in temperature more than the other substance.