Density of some aq. solution (60% by wt.) is lowered upto 1.2 gm/cc by addition of water. If initial density was 1.6 gm/cc then new approximate percentage by wt. will be (Take density of water = 1 gm/

Question

Density of some aq. solution (60% by wt.) is lowered upto 1.2 gm/cc by addition of water. If initial density was 1.6 gm/cc then new approximate percentage by wt. will be (Take density of water = 1 gm/cc)

TestHub · Accepted Answer

Mass of 1 litre of solution = 1600 gms . mass of solute = 960 gm Let V litre of water is added. new vol = ( 1 + V ) litre = ( 1 + V ) 1000cc new mass = 1600 + V ( 1000 ) gms 1.2 = ( 1 + V ) 1000 1600 + 1000 V ​ = 1 + V 1.6 + V ​ 1.6 + V = 1.2 + 1.2 V 0.2 V = 0.4 V = 2 litre new wt. % = 1600 + 2000 960 × 100 ​ = 27% approx

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