Question

The density of \[85\% \] Phosphoric acid is \[1.70gc{m^{ - 3}}\] . What is the volume of a solution that contains \[17gm\] Phosphoric acid?

Answer 1

Hint: In this question we require the formula of density and concentration. Finding volume first from density formula and then using concentration formula we can get the answer.

Step by step answer: Phosphoric acid is also known as Orthophosphoric acid has chemical formula \[{H_3}P{O_4}\] and is a weak base. It is purely found as colourless solid but normally is a colourless syrup of \[85\% \] concentration in water. Also, let’s recall some basic definitions. Density is the measure of mass per volume. Volume is the quantity or space which any substance covers or contains.
Now, we know the density and the mass of phosphoric acid and we have to find the volume.
\[Density = 1.70gc{m^{ - 3}}\]
\[Mass of Solute = 17gm\]
Let volume required be \[X\] \[ml\]
Therefore,
\[Density = \dfrac{{mass}}{{volume}}\]
 \[mass = volume \times density\]
 \[mass = 1.7 \times X\]
Now,
 \[Concentration = \dfrac{{mass of Solute}}{{mass of Solution}} \times 100\]
 \[85 = \dfrac{{17}}{{1.7 \times X}} \times 100\]
 \[X = 11.76ml\]

Therefore, volume of the solution that contains \[17gm\] Phosphoric acid is \[11.76ml\]

Additional Information: Now, some extra information about Phosphoric acid. Phosphoric acid is an important chemical compound used in various industries and agriculture and also in products that we use in our daily lives. Some popular uses are removal of rust, in food and beverage, personal care, used in agriculture, pharma and many other uses. It is also used in activated carbon manufacture. Also as pH adjuster in cosmetic and as sanitizing agent in dairy and foods. Some physical properties include that it is a white crystalline solid with melting point \[{42.35^ \circ }C\] and density of \[1.885g/ml\] .

Note: The two formulas used here were of density and concentration and using which we found out the volume of Phosphoric acid.