Respuesta :
Answer:
A gas made up of homonuclear diatomic molecules escapes through a pinhole .533 times as fast as Ne gas. Write the chemical formula of the gas.
Molar mass of Ne gas is 39.1 g/mol
.533= sqrt(39.1/x)
Sq (0.533) = 20.18/x
0.284 = 20.18/x
x = 71.034 g/mol
Where the chlorine has a molar mass of = 35.5g and molar mass of Cl2 gas = 2 × 35.5 = 71 g/mol
Explanation:
Graham's law: Rate1/Rate2 = sqrt(M2/M1) where M is the molar mass
Thus we have (Rate of x)/(Rate of Ne) = sqrt((Molar mass of Ne)/(Molar mass of x))
From the question (Rate of x)/(Rate of Ne) =0.533
and sqrt((Molar mass of Ne)/(Molar mass of x)) = sqrt(39.1/(Molar mass of x))
.533/1= sqrt(39.1/x)
Sq (0.533) = 20.18/x
0.284 = 20.18/x
x = 71.034 g/mol
Hence a compatible gas is chlorine Cl2 with molar mass of
71 g/mol
Answer:
The gas made of homonuclear diatomic molecules escapes through the pinhole size gap as fast as 0.533 times as compared to neon gas is Chlorine with molecular mass of 71 g/mol.
Explanation:
For calculation of molar mass of unknown gas, which moves n times faster than the other gas, the use of Grahm's law is made.
According to Grahm's law:
Rate of gas movement = [tex]\rm \sqrt{\frac{Molar\;mass\;of\;1\;gas}{molar\;mass\;of\;2\;gas} }[/tex]
0.533 = [tex]\rm \sqrt{\frac{20.17\;g/mol}{molar\;mass\;of\;2\;gas} }[/tex]
Molar mass of unknown gas is 71.034 g/mol
Since, the molar mass of Cl is 35.5, the molar mass of Cl gas is 71.
So the unknown gas will be Chlorine with molecular formula [tex]\rm Cl_2[/tex], and molecular weight of 71 g/mol.
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https://brainly.com/question/18570553?referrer=searchResults
