
Calculate the mass of ascorbic acid to be dissolved in of acetic acid to lower its melting point by .
Given:
- The formula of ascorbic acid is:
- The mass of acetic acid is:
- Lowering in the melting point is:
- The molal depression constant for acetic acid is:
Answer
492.9k+ views
Hint:
We can use the relationship between the molality of the solution and lowering of freezing point to determine the required mass.
Complete step by step solution:
We know that the numerical value of freezing point is equal to that of melting point as both are the temperature at which liquid and solid states are in equilibrium with each other. So, we can say that the given lowering in the melting point can be taken as depression in freezing point.
For depression in freezing point of a solvent, we have a relationship between the depression in the freezing point and molality of the solution that can be written as follows:
Here, is the depression in the freezing point of the solvent, is the molal depression constant for the given solvent and is the molality of the solution.
We can write the molality of a solution in terms of moles of solute and mass of solvent as follows:
Let’s rewrite the above expression in terms of masses only as follows:
Here, is the molar mass of the solute.
Now we can use the above expression to rewrite equation for depression in the freezing point and molality of the solution as follows:
Let’s rearrange this equation for mass of solute:
Here, we have ascorbic acid as solute and acetic acid as solvent, so we can write the expression for them:
Now, let’s convert the units of mass of acetic acid as follows:
Finally, we will calculate the required mass of ascorbic acid by substituting values in the derived expression as follows:
Hence, the required mass of ascorbic acid is .
Note:
We have to keep in mind that depression in freezing point is a change in temperature so it will be the same on the Kelvin scale as well.
We can use the relationship between the molality of the solution and lowering of freezing point to determine the required mass.
Complete step by step solution:
We know that the numerical value of freezing point is equal to that of melting point as both are the temperature at which liquid and solid states are in equilibrium with each other. So, we can say that the given lowering in the melting point can be taken as depression in freezing point.
For depression in freezing point of a solvent, we have a relationship between the depression in the freezing point and molality of the solution that can be written as follows:
Here,
We can write the molality of a solution in terms of moles of solute
Let’s rewrite the above expression in terms of masses only as follows:
Here,
Now we can use the above expression to rewrite equation for depression in the freezing point and molality of the solution as follows:
Let’s rearrange this equation for mass of solute:
Here, we have ascorbic acid as solute and acetic acid as solvent, so we can write the expression for them:
Now, let’s convert the units of mass of acetic acid as follows:
Finally, we will calculate the required mass of ascorbic acid by substituting values in the derived expression as follows:
Hence, the required mass of ascorbic acid is
Note:
We have to keep in mind that depression in freezing point is a change in temperature so it will be the same on the Kelvin scale as well.
Recently Updated Pages
Master Class 4 Maths: Engaging Questions & Answers for Success

Master Class 4 English: Engaging Questions & Answers for Success

Master Class 4 Science: Engaging Questions & Answers for Success

Class 4 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Trending doubts
Give 10 examples of unisexual and bisexual flowers

Draw a labelled sketch of the human eye class 12 physics CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

Differentiate between insitu conservation and exsitu class 12 biology CBSE
