
Express the relationship between molarity and strength in .
Answer
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Hint: To solve this we must know that the molarity is used to express the concentration of the solution. The molarity of a solution is equal to the number of moles of solute divided by the litres of a solution.while dealing with such questions,we must take care of the units and unit conversion formulas.
Formulae used:
Complete step by step solution:
We know that the molarity of a solution is equal to the number of moles of solute divided by the litres of a solution.
The formula to calculate the molarity of the solution is as follows:
…… (1)
We know that the number of moles of any substance is the ratio of mass of the solute in grams to its molecular mass.
The formula to calculate the number of moles is as follows:
…… (2)
From equation (1) and equation (2), the equation for molarity is as follows:
…… (3)
The strength of a solution is the amount of solute present in one litre of the solution.
The formula to calculate the strength of the solution is as follows:
…… (4)
From equation (3) and equation (4), the equation for strength of a solution is as follows:
Thus, the strength of a solution is the product of the molarity of the solution and its molecular mass.
Note: For example, consider solution of glucose. The strength of glucose solution can be calculated using the formula as follows:
Substitute for the molarity of the glucose solution, for the molecular mass of glucose and solve for the strength of the solution. Thus,
Thus, the strength of glucose solution is .
Formulae used:
Complete step by step solution:
We know that the molarity of a solution is equal to the number of moles of solute divided by the litres of a solution.
The formula to calculate the molarity of the solution is as follows:
We know that the number of moles of any substance is the ratio of mass of the solute in grams to its molecular mass.
The formula to calculate the number of moles is as follows:
From equation (1) and equation (2), the equation for molarity is as follows:
The strength of a solution is the amount of solute present in one litre of the solution.
The formula to calculate the strength of the solution is as follows:
From equation (3) and equation (4), the equation for strength of a solution is as follows:
Thus, the strength of a solution is the product of the molarity of the solution and its molecular mass.
Note: For example, consider
Substitute
Thus, the strength of
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