At `10^(@)C`, the value of the density of a fixed mass of an ideal gas divided by its pressure is x. at `110^(@)C`, this ratio is

Options

A. `(10)/(110)x`
B. `(283)/(383)x`
C. `x`
D. `(383)/(283)x`

Answer

B

Explanation

`PV=nRT or (PV)/(M)=(1)/(M_(0))RT`
or `(p)/(rho)=(RT)/(M_(0)) rArr (rho)/(P) prop (1)/(T)`
`rArr (rho_(1))/(P_(1))//(rho_(2))/(P_(2))=(T_(2))/(T_(1)) or (x)/(rho_(2)//P_(2))=(383)/(283)`
or `(rho_(2))/(P_(2))=(283)/(383)x`