A `0^(@)C` the density of a fixed mass of a gas divided by pressure is x. At `100^(@)C`, the ratio will be

Options

A. x
B. `(273)/(373)x`
C. `(373)/(273)x`
D. `(100)/(273)x`

Answer

B

Explanation

`PV=nRTrArrPV=m/MRT`
`rArr"density"/P=M/(RT)`
`("density"/P)_("At "T=0^@C)=M/(R(273))=x" ".....(i)`
`("density"/P)_("At "100^@C)=M/(R(373))=(273x)/(373)`