What is the approximate concentration of solutes present in blood with an osmotic pressure of 7 atm, given that ocean water has an osmotic pressure of 28 atm corresponding to 0.50 M solutes?

What is the approximate concentration of solutes present in blood with an osmotic pressure of 7 atm, given that ocean water has an osmotic pressure of 28 atm corresponding to 0.50 M solutes?

• A. 0.12 M
• B. 0.25 M
• C. 2.0 M
• D. 3.5 M

Answer: (A)

To determine the concentration of solutes present in blood with an osmotic pressure of 7 atm, we can use the information provided about ocean water. It's stated that ocean water has an osmotic pressure of 28 atm and is associated with a solute concentration of 0.50 M. This relationship can be understood through the van 't Hoff equation, which correlates osmotic pressure to solute concentration: \[ \Pi = i \cdot C \cdot R \cdot T \] For dilute solutions, where \(i\) (the van 't Hoff factor for non-electrolytes) is approximately 1, we can simplify our understanding to \( \Pi \) being proportional to \( C\) (the molarity of the solute). Therefore, if we consider the ratio of the osmotic pressures and corresponding solute concentrations for ocean water and blood: The ratio of the osmotic pressures is: \[ \frac{\Pi_{\text{blood}}}{\Pi_{\text{ocean}}} = \frac{7 \, \text{atm}}{28 \, \text{atm}} = \frac{1}{4} \] Since osmotic pressure is directly proportional to

To determine the concentration of solutes present in blood with an osmotic pressure of 7 atm, we can use the information provided about ocean water. It's stated that ocean water has an osmotic pressure of 28 atm and is associated with a solute concentration of 0.50 M. This relationship can be understood through the van 't Hoff equation, which correlates osmotic pressure to solute concentration:

[

\Pi = i \cdot C \cdot R \cdot T

]

For dilute solutions, where (i) (the van 't Hoff factor for non-electrolytes) is approximately 1, we can simplify our understanding to ( \Pi ) being proportional to ( C) (the molarity of the solute). Therefore, if we consider the ratio of the osmotic pressures and corresponding solute concentrations for ocean water and blood:

The ratio of the osmotic pressures is:

[

\frac{\Pi_{\text{blood}}}{\Pi_{\text{ocean}}} = \frac{7 , \text{atm}}{28 , \text{atm}} = \frac{1}{4}

]

Since osmotic pressure is directly proportional to