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Physics

From the following observations, calculate the density and relative density of a brine solution.

Mass of empty density bottle = 22 g

Mass of bottle + water = 50 g

Mass of bottle + brine solution = 54 g

Measurements

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Answer

Mass of empty density bottle (M1) = 22 g

Mass of bottle + water (M2) = 50 g

Mass of bottle + brine solution (M3) = 54 g

Mass of water in bottle = M2 - M1 = 50 - 22 = 28 g

Density of water is 1 g cm-3, so volume of density bottle = 28 cm3.

Mass of brine solution in bottle = M3 - M1 = 54 - 22 = 32 g

Density of brine soln.=Mass of brine soln. Vol. of brine soln.=3228=1.14 g cm3\text{Density of brine soln.}= \dfrac{\text{Mass of brine soln.}}{\text{ Vol. of brine soln.}} \\[1em] = \dfrac{\text{32}}{\text{28}} = 1.14 \text{ g cm}^{-3}

So, density of brine solution = 1.14 g cm-3.

R.D. of brine soln.=Mass of brine soln.Mass of eq. vol. of water=3228=1.14\text{R.D. of brine soln.}= \dfrac{\text{Mass of brine soln.}}{\text{Mass of eq. vol. of water}} \\[1em] = \dfrac{\text{32}}{\text{28}} = 1.14

So, Relative density of brine solution is 1.14.

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