An aqueous solution that is 50.0 percent sulfuric acid (h2so4) by mass has a density of 1.143 g/ml. determine the molality of the solution.

Molality is defined as the ratio of number of moles of solute to the mass of solvent in kilograms.

The formula of molality is:

  - (1)

The formula of density is:

  -  (2)

Consider,

Rearranging the formula (2):

Substituting the values:

Since, the aqueous solution is 50% by mass that is:

Rearranging the equation:

Now, for determining the number of moles of :

Substituting the values in formula (1):

Hence, the molality of the solution is .

explanation:

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.