At `0^(@)C`, the density of nitrogen at 1 atm is 1.25 kg/`m^(3)` . The nitrogen whch occuped 1500 ml at `0^(@)C` and 1 atm was compressed at `0^(@)C` and 575 atm and the gas volume was observed to be 3.92 ml, in violation of Boyl's law .what was the final density of this non-ideal gas ?

Options

A. `278 kg//m^(3)`
B. `378 kg//m^(3)`
C. `478 kg//m^(3)`
D. `578 kg//m^(3)`

Answer

C

Explanation

`d=0.00125 gm//ml`
mass =1500 x 0.00125 gm
`d=M/V=(1500xx0.00125)/3.92 =0.478 gm//ml`
`=478 kg //m^(3)`