in the book it says that in hypertonic solution the cell shrinks.. but (my dbt)..since the conc out is more as compared to the inner one then why dont the cell swell up because now the movement will be from out to in so dnt the cell size should increase? pls explain.

Dear student,
Actually the cell is placed in hypertonic solution whose concentration is greater than the concentration of solution inside the cell. We define osmosis as the movement of water from higher concentration of water towards lower concentration of water. So, hypertonic solution has lower concentration of water as there is higher concentration of solute. Cell has greater concentration of water. Therefore when cell is placed in the hypertonic solution then water starts moving from cell towards the hypertonic solution due to osmosis and therefore cell shrinks.

Regards

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I request you not to send any links please because links create confusion. As it is asked something else and in the link get some different answer. It could be that just the topics are same but not the answer so pls no links!!
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A hypertonic solution contains less concentration of solvent (for eg. water) since the cells have more solvent content than the solution outside, the pressure must be balanced. Hence osmosis takes place where the Cell has to lose solvent according to the pressure gradient outside.
 
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Hypertonic sol. Means more amount of solute n less amount of water is present in that sol. N due to this only water will come out of the cell n so cell will shrink
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