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A cylinder contains 6.023 into 10 ^ 23 molecules of hydrogen and 2 into 6.023 into 10 to the power 23 molecules of oxygen the partial pressure?
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A cylinder contains 6.023 into 10 ^ 23 molecules of hydrogen and 2 int...
Partial Pressure of Hydrogen and Oxygen in a Cylinder


A cylinder contains a certain number of molecules of hydrogen and oxygen. We need to find the partial pressure of hydrogen and oxygen in the cylinder.


What is Partial Pressure?


Partial pressure is the pressure exerted by a single component in a mixture of gases. In other words, it is the pressure that the gas would exert if it were the only gas present in the container.


Calculating Partial Pressure


We can use the following formula to calculate the partial pressure of a gas:


Partial Pressure = Total Pressure x Mole Fraction


Where Mole Fraction = Moles of Gas / Total Moles of Gas


Calculating Mole Fraction


Before we can calculate the partial pressure of hydrogen and oxygen, we need to calculate their mole fractions. We know that the cylinder contains:



  • 6.023 x 10^23 molecules of hydrogen

  • 2 x 6.023 x 10^23 molecules of oxygen



The total number of molecules in the cylinder is:


Total Molecules = 6.023 x 10^23 + 2 x 6.023 x 10^23 = 18.069 x 10^23


The mole fraction of hydrogen is:


Mole Fraction of Hydrogen = 6.023 x 10^23 / 18.069 x 10^23 = 0.333


The mole fraction of oxygen is:


Mole Fraction of Oxygen = 2 x 6.023 x 10^23 / 18.069 x 10^23 = 0.667


Calculating Partial Pressure of Hydrogen and Oxygen


Now that we know the mole fractions of hydrogen and oxygen, we can calculate their partial pressures. Let's assume that the total pressure in the cylinder is 1 atm:


Partial Pressure of Hydrogen = 1 atm x 0.333 = 0.333 atm


Partial Pressure of Oxygen = 1 atm x 0.667 = 0.667 atm


Conclusion


The partial pressure of hydrogen in the cylinder is 0.333 atm and the partial pressure of oxygen is 0.667 atm.
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A cylinder contains 6.023 into 10 ^ 23 molecules of hydrogen and 2 into 6.023 into 10 to the power 23 molecules of oxygen the partial pressure?
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