At 300 K,the osmotic pressure of a decinorma | vedclass

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(B) The osmotic pressure formula is given by $\pi = iCRT$. Given: $\pi = 4.82 \ atm$,$C = 0.1 \ M$ (for $NaCl$,$N = M$),$R = 0.082 \ L \ atm \ K^{-1}

Vedclass · Accepted Answer

$96$

Vedclass · Answer

(B) The osmotic pressure formula is given by $\pi = iCRT$. Given: $\pi = 4.82 \ atm$,$C = 0.1 \ M$ (for $NaCl$,$N = M$),$R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1}$,and $T = 300 \ K$. Calculating the van't Hoff factor $(i)$: $i = \frac{\pi}{CRT} = \frac{4.82}{0.1 	imes 0.082 	imes 300} = \frac{4.82}{2.46} \approx 1.959 \approx 1.96$. For $NaCl$,the dissociation is $NaCl ightarrow Na^+ + Cl^-$,so $n = 2$. The degree of dissociation $(\alpha)$ is related to $i$ by $i = 1 + \alpha(n - 1)$. $1.96 = 1 + \alpha(2 - 1) \Rightarrow \alpha = 0.96$. Since $\alpha = x 	imes 10^{-2}$,we have $0.96 = x 	imes 10^{-2}$,which gives $x = 96$.

At $300 \ K$,the osmotic pressure of a decinormal solution of sodium chloride is $4.82 \ atm$. The degree of dissociation of sodium chloride is $x \times 10^{-2}$. The value of $x$ is $\left(R=0.082 \ L \ atm \ K^{-1} \ mol^{-1}\right)$

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