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A neon-dioxygen mixture contains 70.6 g dioxygen and 167.5 g neon. If pressure of the mixture of gases in the cylinder is 25 bar. What is the partial pressure of dioxygen and neon in the mixture?

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Number of moles of dioxygen = \(\frac{70.6\,g}{32\,g\,mol^{-1}}\) 

= 2.21 mol

Number of moles of neon = \(\frac{167.5\,g}{20\,g\,mol^{-1}}\) 

= 8.375 mol

Mole fraction of dioxygen 

\(\frac{No.\,of\,moles\,of\,dioxygen}{No.\,of\,moles\,of\,dioxygen}\)

+ No. of moles of neon

\(\frac{2.21}{2.21+8.375}\) = \(\frac{2.21}{10.585}\) = 0.21

Mole fraction of neon

\(\frac{No.\,of\,moles\,of\,neon}{No.\,of\,moles\,of\,neon}\)

+ No. of moles of dioxygen

\(\frac{8.375}{8.375 + 2.21}\) = \(\frac{8.375}{10.585}\) = 0.79

Partial pressure of gas (dioxygen)

= mole fraction of dioxygen x total pressure

= 0.21 x 25 (bar) = 5.25 bar

Partial pressure of neon

= mole fraction of neon x total pressure

= 0.79 x 25 (bar) 19.75 bar

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