\(500cm^{3} = 0.005moldm^{-3}\)
\(1000cm^{3} = \frac{0.005}{500} \times 1000cm^{3} = 0.010moldm^{-3}\)
Molar concentration = \(\frac{mass in gdm^{-3}}{molar mass in gmol^{-1}}\)
\(0.01moldm^{-3} = \frac{mass in gdm^{-3}}{98.0gmol^{-1}}\)
(Molar mass of \(H_{2}SO_{4}\) = (2x1) + 32 + (16x4) = 98)
\(mass in gdm^{-3} = 0.980gdm^{-3}\)
\(1000cm^{3} = 0.980g\)
\(500cm^{3} = \frac{0.980}{1000} \times 500 = 0.490g\)