Questions: Some N2 gas is mixed with some O2 gas, and the sketch below shows a representative sample of the mixture. The total pressure of the mixture is measured, and found to be 2.00 atm. key carbon - bigcirc - hydrogen nitrogen - bigcirc - sulfur oxygen - - chlorine Calculate the mole fraction and partial pressure of each gas in this mixture. Round your answers to 3 significant digits. You may assume each gas behaves as an ideal gas. gas - mole fraction - partial pressure N2 - square - square atm O2 - square - square atm

Some N2 gas is mixed with some O2 gas, and the sketch below shows a representative sample of the mixture. The total pressure of the mixture is measured, and found to be 2.00 atm. key carbon - bigcirc - hydrogen nitrogen - bigcirc - sulfur oxygen - - chlorine Calculate the mole fraction and partial pressure of each gas in this mixture. Round your answers to 3 significant digits. You may assume each gas behaves as an ideal gas. gas - mole fraction - partial pressure N2 - square - square atm O2 - square - square atm
Transcript text: Some $\mathrm{N}_{2}$ gas is mixed with some $\mathrm{O}_{2}$ gas, and the sketch below shows a representative sample of the mixture. The total pressure of the mixture is measured, and found to be 2.00 atm . \begin{tabular}{|llll|} \hline \multicolumn{4}{|c|}{ key } \\ carbon & $\bigcirc$ & hydrogen \\ nitrogen & $\bigcirc$ & sulfur \\ oxygen & & chlorine \\ \hline \end{tabular} Calculate the mole fraction and partial pressure of each gas in this mixture. Round your answers to 3 significant digits. You may assume each gas behaves as an ideal gas. \begin{tabular}{|c|c|c|} \hline gas & mole fraction & partial pressure \\ \hline $\mathrm{N}_{2}$ & $\square$ & $\square \mathrm{~atm}$ \\ \hline $\mathrm{O}_{2}$ & $\square$ & $\square \mathrm{~atm}$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Counting the molecules of each gas

From the image, there are 14 molecules of N₂ (blue) and 3 molecules of O₂ (red). The total number of molecules is 14 + 3 = 17.

Step 2: Calculating the mole fraction of each gas

Mole fraction is calculated by dividing the number of molecules of a specific gas by the total number of molecules.

  • Mole fraction of N₂: 14/17 = 0.824
  • Mole fraction of O₂: 3/17 = 0.176
Step 3: Calculating the partial pressure of each gas

Partial pressure is calculated by multiplying the mole fraction of a gas by the total pressure. The total pressure is given as 2.00 atm.

  • Partial pressure of N₂: (0.824) * (2.00 atm) = 1.65 atm
  • Partial pressure of O₂: (0.176) * (2.00 atm) = 0.352 atm

Final Answer:

  • N₂: mole fraction = 0.824, partial pressure = 1.65 atm
  • O₂: mole fraction = 0.176, partial pressure = 0.352 atm
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