How can you remove the hard calcium carbonate layer of the egg without damaging its semipermeable membrane? Can this egg be inserted into a bottle with a narrow neck without distorting its shape? Explain the process involved.

(N/A) $(i)$ When the egg is placed in a dilute mineral acid solution (preferably dilute $HCl$ solution),the hard external $CaCO_3$ layer of the egg dissolves and is removed without damaging its semipermeable membrane.
$(ii)$ Yes,this egg can be inserted into a bottle with a narrow neck without distorting its shape. The process involves the phenomenon of osmosis:
$1.$ The egg is placed in a mineral acid solution to remove the shell.
$2.$ The egg is then placed in a hypertonic solution. Due to osmosis,water moves out of the egg,causing it to shrivel and decrease in size.
$3.$ Because the egg has shrivelled,it can now be inserted easily into a bottle with a narrow neck.
$4.$ Once inside,a hypotonic solution is added to the bottle. Due to endosmosis,water enters the egg,and it regains its original shape.