Agas made up of homonuclear diatomic molecules escapes through a pinhole times as fast as gas. write the chemical formula of the gas.

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

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 =

0.533 =

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 , and molecular weight of 71 g/mol.

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