"Given"color(white)(.) "mass"color(white)(.) "of" H_2SO_4 = 196color(white)(.)grams
=> "moles"color(white)(.) "of"color(white)(,) H_2SO_4 = (196g)/(98g/"mole" = 2.13color(white)(.)color(white)(.)"moles"H_2SO_4
Assuming 100% ionization:
=>1color(white)(.)"mole"color(white)(.) H_2SO_4 => 2color(white)(.)"moles" color(white)(.)ions H^+ + 1color(white)(.)"mole" color(white)(.)SO_4^(2-)color(white)(.)"ions"
=>2.13color(white)(.) "moles"color(white)(.) H_2SO_4 => 4.26"color(white)(.)moles color(white)(.)H^+ions
=>4.26color(white)(.)cancel("mole"H^+ion") xx(6.023xx10^23H^+ioncolor(white)(.)"particles" / 1.00color(white)(.)cancel("mole"H^+ions))
=> 1.204xx10^24H^+ions
NOTE: The H^+ ion is also the 'Hydronium Ion' H_3O^+