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Consider separate solutions of 0.500 M ...

Consider separate solutions of 0.500 M `C_(2)H_(5)OH(aq), 0.100 M Mg_(3)(PO_(4))_(2)(aq), `0.125 M Na_(3)PO_(4)(aq)` at `25 0 C`. Which statement is true about these solutions, assuming all salts to be strong electrolytes ?

A

They all have same osmotic pressure.

B

0.100 M `Mg_(3)(PO_(4))_(2)` (aq) has the highest osmotic pressure.

C

0.125 M `Na_(3)PO_(4)`(aq) has the highest osmotic pressure

D

0.500 M `C_(2)H_(5)OH`(aq) has the highest osmotic pressure.

Text Solution

Verified by Experts

The correct Answer is:
A
Osmotic pressure,
`pi=icRT`
`pi[C_(2)H_(5)OH]=1xx0.500xxR xx T=0.5"RT"`
`pi[Mg_(3)(PO_(4))_(2)]=5xx0.100xxRxxT=0.5RT`
`pi[KBr]=2xx0.250xxRxxT=0.5RT`
`pi[Na_(3)PO_(4)]=4xx0.125xxRxxT=0.5RT`
Therefore, all have same osmotic pressure.
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