# The density of a 20% by mass solution of sulphuric acid is 1.14g/ml. Calculate the mass of hydrogen sulphate in one litre of the solution. ?

Dec 16, 2017

$\text{Mass of } H S {O}_{4}^{-} \equiv 226.1 \cdot g$

#### Explanation:

We gots a mass of $1 \cdot L \times 1000 \cdot m L \cdot {L}^{-} 1 \times 1.14 \cdot g \cdot m {L}^{-} 1$

$\equiv 1140 \cdot g$...and given the starting conditions, 20% by mass of this represents...${H}_{2} S {O}_{4}$...i.e. $228 \cdot g$

And so $\text{moles of sulfuric acid} = \frac{228 \cdot g}{98.08 \cdot g \cdot m o {l}^{-} 1} = 2.33 \cdot m o l$....

And so formally, there are $2.33 \cdot m o l$ $H S {O}_{4}^{-}$, i.e. a mass of $2.33 \cdot m o l \times 97.03 \cdot g \cdot m o {l}^{-} 1 \equiv 226.1 \cdot g$