a gas solution contains 5 moles H2 and 10 moles of oxygen. what is the mole fraction of hydrogen and oxygenin the solution formed?
"in the solution formed" sounds as if the two gases react to form H2O and you want the mole fraction of the H2 and O2 left after the reaction. Is that your understanding or do you want the mole fraction of the 5 and 10 moles of each gas with no reaction.
To determine the mole fraction of hydrogen and oxygen in the solution, we can use the formula:
Mole fraction = Moles of the component / Total moles of the solution
Step 1: Calculate the total moles of the solution.
To find the total moles, we need to sum the moles of hydrogen and oxygen.
Total moles = Moles of hydrogen + Moles of oxygen
Total moles = 5 moles + 10 moles
Total moles = 15 moles
Step 2: Calculate the mole fraction of hydrogen.
Mole fraction (hydrogen) = Moles of hydrogen / Total moles of the solution
Mole fraction (hydrogen) = 5 moles / 15 moles
Mole fraction (hydrogen) = 1/3 or approximately 0.333
Step 3: Calculate the mole fraction of oxygen.
Mole fraction (oxygen) = Moles of oxygen / Total moles of the solution
Mole fraction (oxygen) = 10 moles / 15 moles
Mole fraction (oxygen) = 2/3 or approximately 0.667
Therefore, the mole fraction of hydrogen in the solution is approximately 0.333, and the mole fraction of oxygen is approximately 0.667.
To calculate the mole fraction of a component in a gas solution, you need to determine the moles of that component and divide it by the total moles of all components.
In this case, let's calculate the mole fraction of hydrogen (H2) and oxygen (O2).
Given:
Moles of H2 = 5
Moles of O2 = 10
First, we need to calculate the total moles of all components:
Total moles = Moles of H2 + Moles of O2
Total moles = 5 + 10
Total moles = 15
Now, we can calculate the mole fraction of hydrogen (H2):
Mole fraction of H2 = Moles of H2 / Total moles
Mole fraction of H2 = 5 / 15
Mole fraction of H2 = 1/3
Similarly, we can calculate the mole fraction of oxygen (O2):
Mole fraction of O2 = Moles of O2 / Total moles
Mole fraction of O2 = 10 / 15
Mole fraction of O2 = 2/3
Therefore, the mole fraction of hydrogen in the gas solution is 1/3, and the mole fraction of oxygen is 2/3.