phing Quantitative Relationships 425 The specific heats and atomic masses of 20 of the elements are given in the table below. Use a graphical method to determine if there is a relationship between specific heat and the atomic mass. a. If your graphs revealed a mathematical relationship between specific heat and atomic mass, write down an cquation for the relationship. b. Comment on the usefulness of the determination of specific heat as a method for identifying an element. Would specific heat alone give you much confidenec with regard to the identity of the clement? If you think measurement of another property would be needed to support an identification. what property would you measure and why? c. The elements listed in the table are all selected metals. The values for nitrogen, oxygen, fluorine and neon are 1.040,0.918.0.824 and 1.030J/gK respectively. Do these elements fit your equation? d. A theoretical treatment results in the conclusion that the product (Cp)(M) should cqual 3R. Is this consistent with your findings? e. Compare the temperature change of 1g of water to that of 1g of lead if 10 joules of energy are added (starting at 25C )