In: Physics
The volume of a gas was increased by factor of two. What is the change in its density?
Let Initial volume ,
=
Final Volume ,
=
Initial density = 
Final density = 
The relation between Volume of the gas and density is given below

From above formula We can write the following formula

Substitute
=
,
=
in above
equation

Final density is the Half of the initial density
Now Change in density = Initial density - Final density
=
=
=
=
=
Change in density =
Change in density is Half of the Initial density.