Question

The density of a solution of sulfuric acid is 1.29 g/cm3 and it is 38.1% acid by mass. What volume of the sulfuric acid solution is needed to supply 163 g of sulfuric acid? 1 cm3 = 1 mL 1. 428 g 2. 80.1 mL 3. 552 mL 4. 252 mL 5. 48.1 mL 6. 8010 mL 7. 332 mL 8. 0.00397 mL

Answer 1

Answer : The correct option is, (7) 332 mL

Explanation : Given,

Density of solution of sulfuric acid = $1.29g/cm^3=1.29g/mL$

38.1 % acid by mass that means 38.1 grams of sulfuric acid present in 100 grams of solution of sulfuric acid.

Now we have to calculate the mass of solution of sulfuric acid.

As, 38.1 grams of sulfuric acid present in 100 grams of solution of sulfuric acid

So, 163 grams of sulfuric acid present in $\frac{163}{38.1}\times 100=428.95$ grams of solution of sulfuric acid

Now we have to calculate the volume of sulfuric acid solution.

$Density=\frac{Mass}{Volume}$

$1.29g/mL=\frac{428.95g}{Volume}$

$Volume=332mL$

Therefore, the volume of sulfuric acid solution needed is 332 mL.