The time taken by the Ne to come out of the container will be 26.83 hours
Here it is given in the question that it takes 12 hours for half of the He in a container to leak out If the same container is refilled with Ne then time taken by the Ne gas to leak will be calculated from the formula
[tex]\dfrac{V_{He}}{t_{He}}\times \dfrac{t_{Ne}}{V_{Ne}}=\sqrt\dfrac{M_{Ne}}{M_{He}}[/tex]
Since the volume of both the gases will be same so
[tex]V_{He}=V_{Ne}[/tex]
[tex]\dfrac{t_{Ne}}{t_{He}}=\sqrt5[/tex]
[tex]t_{Ne}=12\times \sqrt5[/tex]
[tex]t_{Ne}=12\times 2.236[/tex]
[tex]t_{Ne}=26.83\ hours[/tex]
Hence the time taken by the Ne to come out of the container will be 26.83 hours
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