Problem Page A gas made up of atoms escapes through a pinhole 0.225 times as fast as H2 gas. Write the chemical formula of the gas.

Question

Chemistry

Carolyn Stein

17 September, 06:14

Problem Page A gas made up of atoms escapes through a pinhole 0.225 times as fast as H2 gas. Write the chemical formula of the gas.

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Answers (1)

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Kaylen Friedman · Answer 1

To determine what gas is this, we use Graham's Law of Effusion where it relates the rates of effusion of gases and their molar masses. We do as follows:

r1/r2 = √ (M2 / M1)

Let 1 be the the unkown gas and 2 the H2 gas.

r1/r2 = 0.225

M2 = 2.02 g/mol

0.225 = √ (2.02 / M1)

M1 = 39.90 g/mol

From the periodic table of elements, most likely, the gas is argon.