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Tresset [83]
3 years ago
7

A gas made up of atoms escapes through a pinhole 0.392 times as fast as Ne gas. Write the chemical formula of the gas.

Chemistry
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer:  The chemical formula of the gas is Xenon.

Explanation:

From Graham's law of effusion rates, the rate of effusion of a gas is inversely proportional to the square root of its molar mass.

\frac{rate_1}{rate_2}=\sqrt{\frac{M_2}{M_1}}

Given: Rate of unknown gas = 0.392\times R_{Ne}  

Putting the values in the formula:

\frac{rate_X}{rate_{Ne}}=\sqrt{\frac{M_{Ne}}{M_X}}

0.392=\sqrt{\frac{20.17}{M_X}}

Squaring both sides:

0.154=\frac{20.17}{M_X}

M_X=131g/mol

As Xenon (Xe) has molar mass of 131g/mol, Thus the chemical formula of the gas is Xenon.

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