An engineer is using sodium metal as a cooling agent in a design because it has useful thermal properties. Looking up the heat capacity, the engineer finds a value of 28.2 J mol^–1 °C^–1. Carelessly, he wrote this number down without units. As a result, it was later taken as specific heat.

(a) What would be the difference between these two values?

(b) Would the engineer overestimate the ability of sodium to remove heat from the system or underestimate it because of this error? Be sure to explain your reasoning.