A flask containing air at `107^(@)C` and 722 mm of Hg is cooled to 100 K and 760 mm of Hg. If density in the initial condition `1g//cm^(3)`, then what is the final density `(g//cm^(3))`?

Answer

4

Explanation

`P_(i)=722mm " "P_(f)=760mm`
`T_(i)=107+273=380 K " "T_(f)=100K`
`d_(i)=1_(g)//cm^(3) " "d_(f)=?`
`(d_(i)T_(i)R)/(P_(i))=(d_(f)T_(f)R)/(P_(f))`
`implies d_(f)=((P_(f))/(P_(i)))((T_(i))/(T_(f)))d_(i)=((760)/(722))((380)/(100))xx1g//cm^(3)`
`=4g//cm^(3)`