Given
Density of solution=1.84 g/ml
Mass% of H2SO4= 98%
98% of H2SO4 by mass means 98 g of H2SO4 is present in 100 g of water.
Mass of solute (H2SO4) =98g
Mass of solution=100g
Volume of solution = mass/density=100/1.84
= 54.35
No. Of moles of solute = given mass/molar mass
= 98/98=1
Now
Molarity = no. Of moles of solute/ volume of sol in ml *1000 =1/ 54.35* 1000=18.39
We know
M1V1=M2V2
18.39*V1=0.5*5000ml
V1=0.5*5000/18.39= 135.94 ml