# Problem: A plasma-screen TV contains thousands of tiny cells filled with a mixture of Xe, Ne, and He gases that emits light of specific wavelengths when a voltage is applied. A particular plasma cell, 0.900mm x 0.300mm x 10.0mm, contains 4.00% Xe in a 1:1 Ne:He mixture at a total pressure of 500. torr. Assumptions: In order to calculate total moles of gas and total atoms, we assumed a reasonable room temperature. Since 4.00% Xe was not defined, we conveniently assumed mole percent. The 1:1 relationship of Ne to He is assumed to be by volume and not by mass.Calculate the number of Xe atoms in the cell.

###### FREE Expert Solution

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

Step 1. mole fraction of Xe

${\mathbf{Χ}}_{\mathbf{Xe}}\mathbf{=}\frac{\mathbf{4}\mathbf{%}}{\mathbf{100}\mathbf{%}}\left(1\right)\mathbf{=}$0.04 ###### Problem Details

A plasma-screen TV contains thousands of tiny cells filled with a mixture of Xe, Ne, and He gases that emits light of specific wavelengths when a voltage is applied. A particular plasma cell, 0.900mm x 0.300mm x 10.0mm, contains 4.00% Xe in a 1:1 Ne:He mixture at a total pressure of 500. torr. Assumptions: In order to calculate total moles of gas and total atoms, we assumed a reasonable room temperature. Since 4.00% Xe was not defined, we conveniently assumed mole percent. The 1:1 relationship of Ne to He is assumed to be by volume and not by mass.

Calculate the number of Xe atoms in the cell.