Question

Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.

276

likes
1382 views

Answer to a math question Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.

Expert avatar
Jon
4.6
110 Answers
To calculate the boiling and freezing temperatures of a solution, we need to use the concept of colligative properties. These properties depend on the number of solute particles present in the solution, regardless of their nature.

Step 1: Calculate the moles of the solute particles
First, we need to find the moles of both ferrous oxide (FeO) and hydrochloric acid (HCl) present in the solution.

The molar mass of FeO is 71.85 g/mol, so the moles of FeO can be calculated as follows:

\text{Moles of FeO} = \frac{\text{Mass of FeO}}{\text{Molar Mass of FeO}} = \frac{123 \, \text{g}}{71.85 \, \text{g/mol}}

The molar mass of HCl is 36.46 g/mol, so the moles of HCl can be calculated as follows:

\text{Moles of HCl} = \frac{\text{Mass of HCl}}{\text{Molar Mass of HCl}} = \frac{1.890 \, \text{g}}{36.46 \, \text{g/mol}}

Step 2: Calculate the total moles of solute particles
Since FeO dissociates into Fe^2+ and O^2-, and HCl dissociates into H^+ and Cl^-, we need to multiply the moles by their respective coefficients of dissociation.

The dissociation coefficient for FeO is 1, and for HCl it is 2 (one mole of HCl produces two moles of ions). Therefore, the total moles of solute particles (N) is given by:

N = \text{Moles of FeO} \times \text{Dissociation coefficient of FeO} + \text{Moles of HCl} \times \text{Dissociation coefficient of HCl}

Step 3: Calculate the boiling temperature elevation using the van't Hoff factor
The boiling temperature elevation (ΔT_boil) is given by the formula:

\Delta T_{\text{boil}} = K_{\text{boil}} \times b \times N

where K_{\text{boil}} is the boiling point elevation constant for the solvent and b is the molality of the solute particles.

Step 4: Calculate the freezing temperature depression using the van't Hoff factor
The freezing temperature depression (ΔT_freeze) is given by the formula:

\Delta T_{\text{freeze}} = K_{\text{freeze}} \times b \times N

where K_{\text{freeze}} is the freezing point depression constant for the solvent.

Step 5: Calculate the boiling temperature and freezing temperature of the solution
Finally, we can calculate the boiling and freezing temperatures of the solution using the equations:

\text{Boiling Temperature} = \text{Boiling Point of Pure Solvent} + \Delta T_{\text{boil}}
\text{Freezing Temperature} = \text{Freezing Point of Pure Solvent} - \Delta T_{\text{freeze}}

Answer:
The boiling temperature and freezing temperature of the solution can be calculated using the given data and the above equations.

Frequently asked questions (FAQs)
Math question: What are the x-intercepts of the quadratic function f(x) = 2x^2 - 5x + 3?
+
What is the variance of the following dataset: 5, 7, 9, 11, 13?
+
What is the axis of symmetry of the parabola y = -2x^2 + 3x + 1?
+
New questions in Mathematics
If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality
[(36,000,000)(0.000003)^2]divided(0.00000006)
To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
-4y-6(2z-4y)-6
Credit title that represents a payment order. This model, which emerged in Brazil, can only be issued in two specific situations: in the purchase and sale of commercial products or in the provision of services. Select the correct alternative: Question 6Answer The. Present value B. Promissory note w. Present value d. Duplicate It is. Bill of exchange
Desarrolla (2x)(3y + 2x)5
Find the derivatives for y=X+1/X-1
Convert 5/9 to a decimal
3/9*4/8=
P(Z<z)=0.1003
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.
Calculate the difference between 407 and 27
2X+2=8
Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.