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Question
A decinormal solution of sodium chloride exerts an osmotic pressure of 4.82 atmosphere at 27°C. Calculate the degree of dissociation of sodium chloride.
Numerical
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Solution
Given: π = 4.82 atmosphere
T = 27°C = 27 + 273 = 300 K
C = 0.1
R = 0.821 L atm K−1 mole−1
π = i CRT
or `i = pi/(CRT)`
= `4.82/(0.1 xx 0.821 xx 300)`
= 0.195
| NaCl → | Na+ | Cl− | |
| Initially | 1 | 0 | 0 |
| At equ. | 1 − α | α | α |
Total moles at equilibrium = 1 − α + α + α
= 1 + α
`i = "Observed no. of moles"/"Normal no. of moles"`
`i = (1 + alpha)/1`
i = 1 + α
0.195 = 1 + α
α = 1 − 0.195
α = 80.5
α = 80.5%
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Chapter 2: Solutions - LONG ANSWER TYPE QUESTIONS [Page 113]
