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Human blood can be approximated by a \(0.90 \% \mathrm{~m} / \mathrm{m}\) solution of \(\mathrm{NaCl}\) in water. Determine the molarity and osmolarity of blood. Assume a density of \(1.0 \mathrm{~g} / \mathrm{mL}\).

Short Answer

Expert verified
The molarity is 0.154 M, and the osmolarity is 0.308 OsM.

Step by step solution

01

Understand the mass percent

A 0.90% m/m solution of NaCl means that there are 0.90 grams of NaCl in every 100 grams of the solution.
02

Convert mass percent to grams per liter

Since the density of blood is about 1.0 g/mL, 100 mL of blood will have a mass of 100 grams. Therefore, a liter (1000 mL) of blood will contain 1000 grams. This results in 9.0 grams of NaCl per liter (1000 mL).
03

Calculate moles of NaCl

The molar mass of NaCl is approximately 58.44 g/mol. To find moles, divide grams of NaCl by its molar mass: \[moles = \frac{9.0 \,\text{g}}{58.44 \,\text{g/mol}} \approx 0.154 \,\text{mol}.\]
04

Calculate molarity of the solution

Molarity (M) is defined as moles of solute per liter of solution. Here, using the moles calculated:\[\text{M} = \frac{0.154 \,\text{mol}}{1 \,\text{L}} = 0.154 \,\text{M}.\]
05

Determine osmolarity

Osmolarity is a measure of solute concentration; NaCl dissociates into two ions (Na鈦 and Cl鈦), thus doubling the particle count:\[\text{Osmolarity} = 2 \times 0.154 \,\text{M} = 0.308 \,\text{OsM}.\]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Osmolarity
Osmolarity refers to the total concentration of all solute particles in a solution. It is an important concept in many biological systems since it affects how solvents, like water, move across cell membranes.
This movement is referred to as osmosis. When calculating osmolarity, we take into account all ions that a solute can dissociate into.
For instance, in our previous example with NaCl, each NaCl unit dissociates into one Na鈦 ion and one Cl鈦 ion, effectively doubling the number of particles in the solution.
  • This means that for a 0.154 M solution, the osmolarity becomes 0.308 Osm.
  • Osmolarity takes into consideration both the type and quantity of particles present after dissociation.
If the solution has non-electrolytes, like glucose, osmolarity equals molarity since no ions dissociate. Understanding osmolarity helps in clinical settings to determine electrolyte balances in the body.
Solution Concentration
The concentration of a solution is pivotal in chemistry as it describes how much solute is present in a given quantity of solvent or solution.
One common way to express concentration is Molarity, embodied by the formula: \( M = \frac{\text{moles of solute}}{\text{liters of solution}} \).
  • Molarity provides a straightforward way to work with chemical reactions that occur in solutions.
  • Knowing the molarity helps chemists understand how solutions will react and predict the outcomes of those reactions.
Another important measure is molality, which relates moles of solute to kilograms of solvent instead of the volume of the solution.
This can be utilized when temperature changes, as volume can fluctuate with temperature, while the mass stays constant.
Mass Percent
Mass percent, or mass/mass percent, provides a way to express the proportion of a solute in a solution. It indicates how many grams of solute exist in every 100 grams of solution.
For instance, a 0.90% m/m NaCl solution contains 0.90 grams of dissolved NaCl in 100 grams of the entire solution.
  • Mass percent is particularly useful for its simplicity and intuitive nature.
  • It allows for quick assessment of how saturated a solution is.
Mass percent is handy when solutions are processed or packaged by weight rather than volume.
It does not change with temperature since it is based on weight, not volume. This is advantageous when dealing with solutions in varying thermal conditions.

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Most popular questions from this chapter

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