# The density (in $gml^{-1})$ of a 3.60M sulphuric acid solution that is 29% $H_2SO_4$ (Molar mass=$98gmol^{-1})$ by mass will be :

$(a)\;1.64\qquad(b)\;1.88\qquad(c)\;1.22\qquad(d)\;1.45$

Given that,mass $\%$ of $H_2SO_4=29\%$
(i.e) 100g solution contains 29g $H_2SO_4$
Let the density of solution (in g/ml) is d
$\therefore$ Molarity of solution =$\large\frac{Moles\;of\;H_2SO_4}{Volume\;of\;solution(in\;ml)}$$\times 1000 \Rightarrow \large\frac{29/98}{100/d}$$\times 1000=3.60$
(M=3.60)
$d=1.22gml^{-1}$
Hence (c) is the correct option.
how is the volume written as 100/d?