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If 1 kg of air is compressed from $2 m^{3}$ to $1 m^{3}$ , then Which statement is correct__?

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a

Density is doubled

b

Density is halved

c

Mass is doubled

d

Mass is halved

answer is A.

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Detailed Solution

If 1 kg of air is compressed from

2 m^{3}

to

1 m^{3}

then Density is doubled.
It is known that the density of a substance is given as the mass of the substance per unit volume of the substance.
Mathematically, it can be written as

Density of substance = \frac{Mass of substance}{Volume of substance}

Hence, it can be said that the density of the substance is inversely proportional to the volume of the substance. When the air is compressed from 2 m3 to 1 m3, its volume gets halved, doubling the density.

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