The number of electrons which will together weigh one gram is 1.0977×10x electrons . The value of x is

Mass of one electron =9.11×10−31kg =9.11×10−28g  Mass of N electrons =N×9.11×10−28g  Thus, N×9.11×10−28g=1g ∴N=19.11×10−28 electrons =1.0977×1027 electrons