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The ration of osmotic pressure exerted b...

The ration of osmotic pressure exerted by 1 M sucrose and 1 M NaCl solution will be

A

1

B

2

C

`0.1`

D

`0.5`

Text Solution

Verified by Experts

The correct Answer is:
D
The osmotic pressure is the pressure that is required to be applied to stop water from diffusing in through a semi-permeable membrane. It depends on the solute concentration. It is equal to osmotic potential but of opposite sign.
P = MRT
Case 1 - Osmotic pressure of 1 molar sucrose = X
Concentration of sucrose = 1 M
`X = 1 xx RT` . . . (i)
Case 2 - Osmotic pressure of 1 molar Nacl = Y
Concentration of sodium chloride = 1 M
Since it shows 100% dissociation (vant half factor ) = 2
Y = Icrt
`Y = 2 xx 1` cc R T . . . (ii) Divide equation (i) by (ii) calculating their ratio
X / Y = 1RT / 2RT
X / Y = 1 / 2 atm = 0.5 atm
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