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.