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Define Osmotic pressure and Arrange the ...

Define Osmotic pressure and Arrange the following solutions in increasing order of osmotic pressure?

A

`34.2g L^(-1)` of sucrose

B

`60g L^(-1)` of urea

C

`90g L^(-1)` of glucose

D

`58.5g L^(-1)` of `NaCl`.

Text Solution

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Osmotic pressure is the extra pressure which must be applied on solution side so as to preven the solvent molecules into solution when both are separated by semipermeable membrane.
Given (a)Mass of sucrose in `1 litre=34.2g`
(b)Mass of urea in `1 litre=60g`
(c)Mass of glucose in `1 litre=34.2g`
(d)Mass of `NaCl` in `1 litre=34.2g`
Asked Osmotic pressure `(pi)`=?
Formulae: `pi=IMRT=1`
Explanation: `pi=` Osmotic pressure, `M=` molarity of solution, `i=` van't hoff factor
`T=` Temperature, `R=` gas constant
Calculation of osmotic pressure
(a) `pi_("sucrose")=1xx(34.2)/(342)RT=0.1RT`
(b) `pi_("urea")=1xx(60)/(60)RT=RT`
(c) `pi_("glucose")=1xx(90)/(180)RT=0.5RT`
(d) `pi_(NaCl)=2xx(58.5)/(58.5)RT=2RT`
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