1.

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

Answer» Correct Answer - D
For a given mass m of an ideal gas of gas constant R, and density `rho`
`(PV)/(T) = R or (Pm)/(rho T) = R or (ro)/(P) =(m)/(TR)`
or, `x = (m)/(TR) or xT = m/R =a constant`
`:. X_(1)T_(1) = x_(2)T_(2)`
or ` x_(2) = x_(1) (T_1)/(T_2) = x ((273+10))/((273+110)) = (283x)/(383)`.


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