A gas 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