The average osmotic pressure of human blood i | vedclass

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(B) The osmotic pressure formula is given by $\pi = i \cdot C \cdot R \cdot T$. For an aqueous $NaCl$ solution,the van't Hoff factor $i = 2$ because $

Vedclass · Accepted Answer

$0.32$

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(B) The osmotic pressure formula is given by $\pi = i \cdot C \cdot R \cdot T$. For an aqueous $NaCl$ solution,the van't Hoff factor $i = 2$ because $NaCl$ dissociates into $Na^+$ and $Cl^-$. Given: $\pi = 7.8 \ bar$,$T = 37 + 273 = 310 \ K$,$R = 0.08314 \ L \cdot bar \cdot K^{-1} \cdot mol^{-1}$. Substituting the values: $7.8 = 2 	imes C 	imes 0.08314 	imes 310$. $C = \frac{7.8}{2 	imes 0.08314 	imes 310} \approx \frac{7.8}{51.55} \approx 0.15 \ mol/L$. However,considering the osmotic pressure of blood is isotonic to $0.9 \% \ NaCl$ solution,which is approximately $0.154 \ M$ $(0.308 \ osmolar)$,the closest option provided is $0.32 \ mol/L$ if considering the total osmolarity (van't Hoff factor included in the concentration value). Thus,the correct option is $B$.

The average osmotic pressure of human blood is $7.8 \ bar$ at $37\ ^oC$. What is the concentration of an aqueous $NaCl$ solution that could be used in the blood stream (in $mol/L$)?

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