the charge of an electron is -1.6*10^-19 C. The value of free charge on Li+ ion will be

Li+ means the extra charge is 1 mole. As 1 mole contains 6.022*10^23 particles, therefore extra charge will be, (6.022*10^23 )* (1.6*10^-19 C)= 2.6*10^ -19 C.
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