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JAMB Physics 2018 Paper

Question : 2

Total: 87

^3

Solution:

Concept:

Density relates mass and volume by

Density = \frac{mass}{volume}

. Since no oil is lost during frying, the mass remains constant before and after frying.

Explanation:

First find the mass of the palm oil before frying using the initial density and volume.

Density = \frac{mass}{volume}

, so

mass = density \times volume

Initial density

= 0.9\ \mathrm{g\,cm^{-3}}

and initial volume

= 400\ \mathrm{cm^3}

Therefore,

mass = 0.9\ \mathrm{g\,cm^{-3}} \times 400\ \mathrm{cm^3} = 360\ \mathrm{g}

After frying, the density changes to

0.6\ \mathrm{g\,cm^{-3}}

, but the mass remains

360\ \mathrm{g}

Using

volume = \frac{mass}{density}

, substitute the new values:

volume = \frac{360\ \mathrm{g}}{0.6\ \mathrm{g\,cm^{-3}}} = 600\ \mathrm{cm^3}

Hence, the new volume of the oil after frying is

600\ \mathrm{cm^3}

Answer:

600\ \mathrm{cm^3}

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