For a gas made up of homonuclear diatomic molecules escapes through a pinhole 0.378 times as fast as He gas, the chemical formula of the gas is mathematically given as
N2(nitrogen gas)
Generally, the equation for the rate to molar relationship is mathematically given as
\frac{r1}{r2}=\frac{mm2}{mm1}
Thereofore
\frac{r}{r2}=0.378
Hence
0.378=\sqrt{\frac{4.00268}{Mx2}}
Mx2=28.013g/mol
In conclusion,The name of gas with a molar mass of 28.013g/mol is N2
Therefore, the chemical formula of the gas. is N2
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