Question:
Concentrated aqueous sulphuric acid is $98 \% \,H _{2} SO _{4}$ by mass and has a density of $1.80 \,g .\, mL ^{-1}$ Volume of acid required to make $1$ litre of $0.1\, M \,H _{2} SO _{4}$ solution is:
Concentrated aqueous sulphuric acid is $98 \% \,H _{2} SO _{4}$ by mass and has a density of $1.80 \,g .\, mL ^{-1}$ Volume of acid required to make $1$ litre of $0.1\, M \,H _{2} SO _{4}$ solution is:
Updated On: Jun 23, 2023
- 11.10 mL
- 5.55 mL
- 16.65 mL
- 22.20 mL
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The Correct Option is B
Solution and Explanation
$w_2 = {98\, g}, w_1 ={ 100\, g}, d = {1.8\, g\, mL^{-1}}$
${ Volume\, of\, solution = \frac{ Mass}{Density} = \frac{100}{1.8} = 55.55 ML}$
${Molarity = \frac{w_2 \times 1000}{M_2 \times V (in \, mL)}}$
$= {\frac{98 \times 1000}{98 \times 55.55} = 18 \, M}$
Now, $M_1V_1 = M_2V_2$
$18 \times V_1 = 0.1 \times 1000$
$\Rightarrow V_1 = \frac{0.1 \times 1000}{18} = {5.55 \, mL}$
${ Volume\, of\, solution = \frac{ Mass}{Density} = \frac{100}{1.8} = 55.55 ML}$
${Molarity = \frac{w_2 \times 1000}{M_2 \times V (in \, mL)}}$
$= {\frac{98 \times 1000}{98 \times 55.55} = 18 \, M}$
Now, $M_1V_1 = M_2V_2$
$18 \times V_1 = 0.1 \times 1000$
$\Rightarrow V_1 = \frac{0.1 \times 1000}{18} = {5.55 \, mL}$
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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.