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States Of Matter

Question
CBSEENCH11005944

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? 

Solution

Weight of dioxygen (O2) = 70.6 g
Molar mass of dioxygen  = 32 g mol-1

therefore space space space Number space of space moles space of space dioxygen
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 70.6 over denominator 32 space straight g space mol to the power of negative 1 end exponent end fraction space equals space 2.21 space mol
Weight space of space neon space equals space 167.5 space straight g
Molar space mass space of space neon space equals space 20 space straight g space mol to the power of negative 1 end exponent
Number space of space moles space of space neon space equals space fraction numerator 167.5 space straight g over denominator 20 space straight g space mol to the power of negative 1 end exponent end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 8.375 space mol
Mole space fraction space of space dioxygen space equals space fraction numerator 2.21 over denominator 2.21 plus 8.375 end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2.21 over denominator 10.585 end fraction space equals 0.21 space space space space space space space space space space space space space space space
Mole fraction of neon
              space equals space fraction numerator 8.375 over denominator 2.21 plus 8.375 end fraction space equals space fraction numerator 8.375 over denominator 10.585 end fraction space equals space 0.79
We know,
   Partial pressure of a gas = Mole fraction x Total pressure
      therefore   Partial pressure of  a gas  = Mole fraction x total pressure
                        = 0.21 x 25 bar = 5.25 bar
Partial pressure of neon = 0.79 x 25 bar = 19.75 bar