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Question

calculate the density and relative density of a brine solution

mass of empty density bottle= 22 grams

mass of bottle + water = 50 grams

mass of bottle + brine solution = 54 grams

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Solution

Let V be the volume of the bottle whose mass is 22 g.

When filled with water the bottle weighs 50 g

Therefore, Mass of water in the bottle, mw = 50 – 22 = 28 g

Density of water = mw/V = 1 g/cc

=> V = 28 cc

So, the volume of the bottle is = 28 cc.

When filled with Brine solution the bottle weighs 54 g.

So, mass of brine solution in the bottle, mb = 54 – 22 = 32 g

Therefore, density of the brine solution = mb/V = 32/28 = 1.14 g/cc

Relative density= density of solution/density of water

So here, relative density of brine= density of brine


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