Calculating Molarity and Molality: Tips and Tricks | Chemistry Homework Help

In summary, the conversation discusses a screenshot from a professor's website that contains incorrect information about molarity and molality. The website incorrectly assumes that molality is the number of moles of solute per kg of solution, rather than the correct definition of moles per kg of solvent. The conversation also points out that the website's listed densities for various solutions are incorrect.
  • #1
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Homework Statement



Screenshot of some prof's website. This is just ridiculous.

http://i.minus.com/jnUa604Tz6bKX.png

Homework Equations



Molarity to molality.

Molality is moles / kg of solvent.

Molarity is moles / volume of solution.

The Attempt at a Solution



Pretty sure all the ones in the screenshot from the webpage of some university professor are wrong.

For 1)

a) Assume 1000 mL of solution. We therefore have 0.84 moles of sucrose (0.84 moles / 1 L = 0.84 M)

b) This means we have 1120 g of solution.

c) Solution mass = solute mass + solvent mass.

d) Solute mass = 0.84 moles * 342 g/moles = 287 grams.

e) 1120 - 287 = solvent mass = 833 g = 0.833 kg.

f) 0.84 / 0.833 isn't anywhere close to 3/4 molal solution.
 
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  • #2
I see nothing wrong with your math, so I guess his answer is wrong.
 
  • #3
The website incorrectly assumed that molality is the number of moles of solute per kg of solution (rather than the correct definition which you gave).
 
  • #4
Not to mention the fact density of 0.840 M sucrose solution is 1.1079 g/mL, density of 4.91 M NaOH solution is 1.1840 g/mL, and of 0.79 M NaHCO3 solution is 1.0455 g/mL. Neither is listed correctly (although sucrose is close).
 
  • #5


I would like to address the concerns raised by this content. While it is true that calculating molarity and molality can be a bit tricky, it is important to follow proper equations and methods to ensure accurate results. In this case, the calculations provided by the professor's website are incorrect.

For the first problem, the assumption of 1000 mL of solution is correct, but the calculation of 0.84 moles of sucrose is not. This should be 0.84 moles / 1 L = 0.84 M, as correctly stated in the problem. Additionally, the calculation for the mass of the solution should be 1000 mL * 1.12 g/mL = 1120 g, not 1120 mL.

Furthermore, the method used to calculate the mass of the solvent is incorrect. Instead, we should use the formula mass = moles * molar mass, which gives us 0.84 moles * 342 g/mol = 287 g. This means that the mass of the solvent is 1120 g - 287 g = 833 g, not 730 g as stated on the website.

Lastly, the molality of the solution should be calculated as 0.84 moles / 0.833 kg = 1.01 molal, not 3/4 molal as stated on the website.

It is important to double check calculations and use proper equations when solving problems in chemistry. This ensures accurate results and a better understanding of the concepts being studied. I would recommend seeking clarification from the professor or consulting a reliable source for correct calculations in the future.
 

1. What is the difference between molarity and molality?

Molarity is a measure of concentration that is expressed as the number of moles of solute per liter of solution. Molality, on the other hand, is a measure of concentration that is expressed as the number of moles of solute per kilogram of solvent. In molarity, the volume of the solution is used in the calculation, while in molality, the mass of the solvent is used.

2. How do you calculate molarity?

To calculate molarity, you need to know the number of moles of solute and the volume of the solution. The formula for molarity is: Molarity (M) = moles of solute (mol) / volume of solution (L). Make sure to convert all units to moles and liters before plugging them into the formula.

3. How do you calculate molality?

To calculate molality, you need to know the number of moles of solute and the mass of the solvent. The formula for molality is: Molality (m) = moles of solute (mol) / mass of solvent (kg). Make sure to convert all units to moles and kilograms before plugging them into the formula.

4. How can I convert between molarity and molality?

To convert from molarity to molality, you need to know the density of the solution. The formula for converting from molarity to molality is: Molality (m) = Molarity (M) / density (g/mL). To convert from molality to molarity, you need to know the density of the solvent. The formula for converting from molality to molarity is: Molarity (M) = molality (m) * density (g/mL).

5. Are there any tips or tricks for calculating molarity and molality?

One tip for calculating molarity and molality is to make sure you are using the correct units. For molarity, make sure all units are in moles and liters, and for molality, make sure all units are in moles and kilograms. Also, be sure to double-check your calculations and use a calculator if needed. Another tip is to pay attention to the units given in the problem and make sure to convert them if necessary. Finally, remember to round your final answer to the appropriate number of significant figures.

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