Question:
The concentrated sulphuric acid that is peddled commercial is 95% $H_2SO_4$ by weight. If the density of this commercial acid is $1.834\, g$ $cm^{-3}$, the molarity of this solution is
The concentrated sulphuric acid that is peddled commercial is 95% $H_2SO_4$ by weight. If the density of this commercial acid is $1.834\, g$ $cm^{-3}$, the molarity of this solution is
Updated On: Jun 23, 2023
- $17.8\, M$
- $12.0\, M$
- $10.5\, M$
- $15.7\, M$
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The Correct Option is A
Solution and Explanation
$95\%\, H_2SO_4$ by weight means $100g\, H_2SO_4$ solution contains $95g \,H_2SO_4$ by mass. Molar mass of $H_2SO_4 = 98g\, mol^{-1}$
Moles in $95g=\frac{95}{98}=0.969$ mole
Volume of $100g\, H_2SO_4$
$=\frac{mass}{density}=\frac{100g}{1.834g\,cm^{-3}}$
$= 54.52 \,cm^{3} = 54.52 \times 10^{-}3\, L$
$Molarity=\frac{Moles\, of \,solute}{Volme\, of\, solut\, in \,L}$
$=\frac{0.969}{54.52\times10^{-3}}=17.8\,M$
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Concepts Used:
Solutions
A solution is a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.
For example, salt and sugar is a good illustration of a solution. A solution can be categorized into several components.
Types of Solutions:
The solutions can be classified into three types:
- Solid Solutions - In these solutions, the solvent is in a Solid-state.
- Liquid Solutions- In these solutions, the solvent is in a Liquid state.
- Gaseous Solutions - In these solutions, the solvent is in a Gaseous state.
On the basis of the amount of solute dissolved in a solvent, solutions are divided into the following types:
- Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
- Saturated Solution- A solution in which no solute can be dissolved after reaching a certain amount of temperature is known as an unsaturated saturated solution.
- Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.