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Calculate the osmotic pressure of 20% (w...

Calculate the osmotic pressure of `20%` (wt.`//` vol.) anhydrous `Ca(NO_(3))_(2)` solution at `0^(@)C` assuming `100%` ionisation.

Text Solution

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`{:(,Ca(NO_(3))_(2)rarr,Ca^(2+)+,2NO_(3)^(-),),("Before dissociation",1,0,0,),("After dissociation",1-alpha,alpha,2alpha,):}`
Given, `w = 20g, V = 100mL, T = 273 K`,
Mol, wt. of `Ca(NO_(3))_(2) = 164`
`pi_(N) = (w)/(m.V) xx S xx T`
`= (20 xx 1000 xx 0.0821 xx 273)/(164 xx 100) = 27.33 atm`
Now, `(pi_(exp.))/(pi_(N)) = 1 + 2a = 1+2 = 3`
`because alpha = 1`
`:. pi_(exp.) =27.33 xx 3 = 82.0 atm`
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