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The density of a certain oil on frying becomes 0.4 kgm\(^...

The density of a certain oil on frying becomes 0.4 kgm\(^{-3}\) with the volume of 20m\(^{3}\). what will be its initial volume when its initial density is 0.8 kgm\(^{-3}\) assuming no loss of oil due to spillage?

A.

12m3

B.

10m3

C.

8m3

D.

5m3

Correct answer is B

Density (D) = \(\frac{mass}{volume}\)

\(\therefore Mass = Density \times volume\)

= \(0.4 \times 20 = 8kg\)

The initial volume = \(\frac{Mass}{\text{Initial density}}\)

= \(\frac{8}{0.8} = 10m^{3}\)