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A 5% solution of cane sugar (M.W.=342) i...

A 5% solution of cane sugar (M.W.=342) is isotonic with 1 % solution of substance X. The molecular weight of X is

A

`34.2`

B

`171.2`

C

`68.4`

D

`136.8`

Text Solution

Verified by Experts

The correct Answer is:
C
Isotonic solutions are the solutions having same osmotic pressure.
Osmotic pressure of 5% cane sugar solution
`(pi_(1))=C xx R xx T`
`=(50g//L)/(342)xx0.0821xx T`
Osmotic pressure of 1% solution of substance
`X (pi_(2))=(10g//L)/(M)xx0.0821xx T`
Both are isotonic
So, `pi_(1)=pi_(2)`
or `(50)/(342)xx0.0821xx T(10)/(M)xx0.0821xx T`
`therefore M("molecular weight of X")=(342)/(5)=68.4`
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