Respuesta :
Answer:
Ammonia molecules effuse 1.28 times faster than carbon monoxide molecules.
The ratio is:- [tex]\frac {r_{NH_3}}{r_{CO}}=1.28[/tex]
Explanation:
Scottish physicist Thomas Graham formulated a law known as Graham's law of effusion in 1848. He conducted an experiment and found the relationship between the rate of effusion of a gas and its molar mass as:
[tex]r=\sqrt {\frac {1}{M}}[/tex]
where,
r is the rate of effusion of a gas
M is the molar mass of the gas.
And for two gases taking different rate of effusion as r₁ and r₂ to effuse, the formula is:
[tex]\frac {r_1}{r_2}=\sqrt {\frac {M_2}{M_1}}[/tex]
So,
For ammonia :
[tex]M_1[/tex] = 17.031 g/mol
For carbon monoxide:
[tex]M_2[/tex] = 28.01 g/mol
Thus,
[tex]\frac {r_{NH_3}}{r_{CO}}=\sqrt{\frac{28.01}{17.031}}[/tex]
[tex]\frac {r_{NH_3}}{r_{CO}}=1.28[/tex]
Or,
[tex]{r_{NH_3}}=1.28\times {r_{CO}}[/tex]
Ammonia molecules effuse 1.28 times faster than carbon monoxide molecules.
