Question

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A decinormal solution is \[\dfrac{1}{10}N\]

Answer 1

Hint: Decinormal tells about the concentration of the solution. It can be calculated by the equivalent weight and volume of the solution. It is calculated with acidity and basicity of the solution. Normality of the solution can be calculated by dividing the gram equivalent of the solute by volume of the solution.

Complete step by step answer:
A decinormal solution is when the one-tenth of gram equivalent mass of a substance is divided by the one liter of its solution.
It can be denoted as \[\dfrac{1}{10}N\]
It tells about the concentration of the solution. It is defined as the term ‘Normality’.
Normality of a solution is defined as the number of gram equivalents of the solute present in one liter of the solution. It is represented as the symbol, N. Its formula is,
\[\text{Normality = }\dfrac{\text{Gramequivalent of the solute}}{\text{volume of the solution in liters}}\]
Number of grams equivalent of the solute can be calculated with the mass of the solute in grams divided by the equivalent mass of the solute.
\[\text{No}\text{. of gram equivalents = }\dfrac{\text{mass of the solute ingrams}}{\text{equivalent mass of the solute}}\]
The equivalent mass of acids, bases and salt can be calculated as follows:
\[\begin{align}
  & \text{Eq}\text{.mass of acid = }\dfrac{\text{molar mass of the acid}}{\text{Basicity}} \\
 & \text{Eq}\text{.mass of base = }\dfrac{\text{molar mass of the base}}{\text{Acidity}} \\
 & \text{Eq}\text{.mass of salt = }\dfrac{\text{molar mass of the salt}}{\text{total positive valency of metal atoms}} \\
\end{align}\]
Basicity tells the number of ionisable hydrogen ions present in the molecule. For HCl, it is 1, for \[{{H}_{2}}S{{O}_{4}}\] it is 2, etc.
Acidity tells the number of ionizable hydroxyl ions present in the molecule. For NaOH, it is 1, for\[Ca{{(OH)}_{2}}\] it is 2.
There are many ways to express the concentration of the solution. Some of the common ways are molarity, molality, mole fraction, and parts per million.

Hence, the above statement A decinormal solution is \[\dfrac{1}{10}N\] is true.

Note: Seminormal term is also used to express the normality of a solution. Seminormal is defined when ½ gram equivalent of the solute is present in 1liter of the solution. It can be denoted as \[\dfrac{N}{2}\].