Statement 1 : Electron gain enthalpy values of the 3rd period p-block elements of the Modern periodic table are generally more negative than the 2nd period element of the same group.

Statement 2 : Due to smaller atomic size of the 2nd period element, its electron density is high which eases the addition of electron.

Statement 1 : It is correct statement and this can be understood by taking the following example.

Negative electron gain enthalpy of O and F is less than S or Cl respectively.

Statement 2 : It is incorrect statement. This is due to the fact that when an electron is added to O or F, the added electron goes to the smaller n = 2 energy level and experiences significant repulsion from the other electrons present in this level. In S or Cl, the electron goes to the larger n = 3 energy level and consequently occupies a larger region of space leading to much less electron-electron repulsion.