A sealed box contains a monatomic ideal gas. The number of gas atoms per unit volume is 6.31×1020 atoms/cm3, and the average translational kinetic energy of each atom is 1.20×10−23 J . What is the gas pressure?p = ? Pa If the gas is neon (molar mass 20.18 g/mol ), what is vrms for the gas atoms?Vrms = ____ ? _____ units

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Asked Sep 10, 2019
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A sealed box contains a monatomic ideal gas. The number of gas atoms per unit volume is 6.31×1020 atoms/cm3, and the average translational kinetic energy of each atom is 1.20×10−23 J .

 

What is the gas pressure?

p = ? Pa

 

If the gas is neon (molar mass 20.18 g/mol ), what is vrms for the gas atoms?

Vrms = ____ ? _____ units

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Expert Answer

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Step 1

Write the expression for average translational kinetic energy

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-27 kT 2Kt T = 3k

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Step 2

Write the ideal gas equation in terms of number of molecules per unit volume

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P nkT 2nkk 3k 2mK

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Step 3

Substituting th...

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2(6.31x103 atoms/cm')| 10cm 1.20x103 atom 3 5048 Pa

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