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

Answer

D

Explanation

From ideal gas law, `pV=nRT or pV=(m)/(M)RT`
`(pV)/(m)=(1)/(M)RTor(P)/(p)=(RT)/(M)rArr(p)/(P)=(1)/(T)`
`therefore" " (rho_(1)//p_(1))/(rho_(2)//p_(2))=(T_(2))/(T_(1))rArr(x)/((rho_(2)//P_(2)))=(383)/(283)`
`or " " (rho_(2))/P_(2)=(283)/(383)`