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For 10 minute each, at 27^(@)C, from two...

For 10 minute each, at `27^(@)C`, from two identical holes nitrogen and an unknown gas are leaked into a common vessel of 3 litre capacity. The resulting pressure is 4.18 bar and the mixture contains 0.4 mole of nitrogen. What is the molar mass of unknown gas ?

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P=4.18 bar, V=3L, T=300 K
`n_(T) =(PV)/(RT) =(4.18xx3)/(0.83xx300)=0.50`
Total mole of gases diffused =0.50 Mole of unknown gas `n_(g)` diffused `=n_(T)-n_(N_(2))`
`=0.50 -0.40=0.10`
`(n_(g)//t_(g))/(n_(g)//t_(n_(2)))=sqrt((M_(n_(2))/(M_((g))))`
`rArr =(0.1)/(0.4) =sqrt((28)/(M_((g)))`
`rArr Mg =448" gm mole "^(-1)`
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