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← IIT-JEE 2012 · Paper 1
ChemistryInteger+4Question 39 of 60

IIT-JEE 2012 · Paper 1, Chemistry question 39

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 200 mL solution of 0.4 M HCl is

Answer and worked solution

Official answer: 8

Molarity of the stock. One litre has mass 1250 g, of which 0.292×1250=3650.292\times1250=365 g is HCl:
36536.5=10 mol L−1.\frac{365}{36.5}=10\ \mathrm{mol\,L^{-1}}.

Dilution. 10×V=0.4×20010\times V=0.4\times200, so V=8V=8 mL.

Answer: 8