Finding the concentration of X

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SUMMARY

The discussion focuses on calculating the density and concentration of a substance referred to as X. The density of X is determined to be 2.5g/mL using the formula Density = Mass/Volume, with a mass of 10g and a volume of 4mL. The concentration of X in a solution is calculated to be 70g/L and 7% when 7g of X is dissolved in 100mL of water, using the formula Concentration = grams of solute/Litre of solution. It is clarified that the density of the solute does not affect the concentration calculation when the mass is known.

PREREQUISITES
  • Understanding of basic chemistry concepts, specifically density and concentration.
  • Familiarity with the formulas for density and concentration: Density = Mass/Volume and Concentration = grams of solute/Litre of solution.
  • Ability to convert units, such as mL to L and grams to percentages.
  • Basic mathematical skills for performing division and unit conversions.
NEXT STEPS
  • Study the concept of molarity and how it relates to concentration in solutions.
  • Learn about the impact of temperature on the density of liquids and how it affects concentration calculations.
  • Explore the differences between weight/volume percent and weight/weight percent in solution concentration.
  • Investigate how to calculate the mass of a solute when given its volume and density.
USEFUL FOR

Chemistry students, laboratory technicians, and anyone involved in solution preparation and concentration calculations will benefit from this discussion.

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Homework Statement


How do I find the Density of X (Part A) and how do I find the Concentration of X in a solution (Part B)?

Part A:
I have 4mL of X. The mass of 4mL of X is 10g. Calculate the density of X.

Part B:
I have 7g of X in 100mL of Water. Calculate the concentration of X.

The FINAL ANSWER must be written in BOTH "g/L" and as a percent (%).

Homework Equations


Density of X = Mass/Volume
Concentration of X = grams of solute/Litre of solution

The Attempt at a Solution


What did I do:
------------------
Part A:
I have 4mL of X. The mass of 4mL of X is 10g. Calculate the density.

Finding Density of X:
I have 10g of X. (10g is the mass)
I have 4mL of X. (I'm thinking that 4mL is the volume)

Density of X = Mass/Volume
Density of X = 10/4
Density of X = 2.5g/mL

Therefore, the density of X is 2.5g/mL.
------------------
Part B:
I have 7g of X in 100mL of Water. Calculate the concentration of X.

Finding Concentration of X:
I have 7g. (grams of solute)
I have 100mL of Water, which is 0.100L. (Solution in L)

Concentration of X = grams of solute/Litre of solution
[X] = 7/0.100
[X] = 70g/L

As a percentage:
70g/L = 70/1000 = 0.07 = 7%

Therefore, the concentration of 7g of X in 100mL of Water is 70g/L (7%).

-------------------------------------------

Thoughts:
You know how I calculated the density of X in Part A (2.5g/mL), don't I use that information to calculate the concentration of X in Part B?

Does the density of the solute matter when calculating the concentration of X? If so, how do I use 2.5g/mL (density of X) in order to calculate the concentration of X in 100mL of Water?

I hope you are able to help me.

Thank you!
 
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MagicMarker said:
Thoughts:
You know how I calculated the density of X in Part A (2.5g/mL), don't I use that information to calculate the concentration of X in Part B?

Does the density of the solute matter when calculating the concentration of X? If so, how do I use 2.5g/mL (density of X) in order to calculate the concentration of X in 100mL of Water?

I hope you are able to help me.

Thank you!

No, the density of the solute does not influence its concentration if its mass is known. Think, before adding x to the solvent, it can be solid, and in the solution the molecules are dispersed. No sense to speak of the density of x.

You would need the density of x if its volume were given, to calculate the mass.

ehild
 

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