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For 10 minutes each, at 0^(@)C, from two...

For 10 minutes each, at `0^(@)C`, from two identical holes nitrogen and an unknown gas are leaked into a common vessel of 4 litre capacity. The resulting pressure is 2.8 atm and the mixture contains 0.4 mole of nitrogen. What is the molar mass of unknown gas ? (Take `R = 0.821 "L-atm mol"^(-1)K^(-1)`]

A

`448 g mol^(-1)`

B

`224 g mol^(-1)`

C

`226 g mol^(-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`n_(N_2)/n_x=sqrt(m_x/M_(N_2))`…(i)
`P_TV_P=n_T RT`..(ii)
`n_T=(2.8xx4)/(0.0821xx273)=0.5`
`n_x+n_(N_2)=0.5`
`n_x=0.1`
From (1)
`0.4/0.1=sqrt(M_x/28),M_x=448`
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