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29.2% (w/w) HCl stock solution has a den...

29.2% (w/w) HCl stock solution has a density of 1.25 g `mL^(-1)`. The molecular weight of HCl is 36.5 g `"mol"^(-1)`. The volume (mL) of stock solution required to prepare a 200mL solution of 0.4 M HCl is :

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The correct Answer is:
8

Mass of HCl = 29.2 g
Volume of solution `= (100g)/(1.25) = 80 mL`
Molarity of solution `= ( g mol)/(" Volume of solution") xx 1000`
` = (29.2//36.5)/(80) xx 1000 = 10 M`
Using `M_(1)V_(1) = M_(2)V_(2)`
`10 xx V_(1) = 200 xx 0.4`
`therefore " "V_(1) = (200 xx 0.4)/(10) = 8`
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