In a mixture of hydrogen and oxygen gases at the same temperature, which molecules move faster? Why?
They have the same KEnergy.
1/2 masshydrogen*velocityhydrogen^2= 1/2 massO*velocityO^2
velocityH/velocityO= sqrt (massO/massH) as I see it.
K. E. = 1/2*mass*velocity2
At the same temperature, both gases have the same kinetic energy (K.E.). Knowing that and the masses, what must be true of the velocity?
In a mixture of hydrogen and oxygen gases at the same temperature, the hydrogen molecules will generally move faster than the oxygen molecules. This is because the average velocity of gas molecules is directly proportional to the square root of their temperature and inversely proportional to their molar mass.
Hydrogen gas (H2) has a lower molar mass than oxygen gas (O2). Since the velocity is inversely proportional to the molar mass, hydrogen molecules will have a higher average velocity and therefore move faster compared to oxygen molecules at the same temperature.
In a mixture of hydrogen and oxygen gases at the same temperature, the hydrogen molecules move faster than the oxygen molecules. This is because the speed of gas molecules is directly proportional to their molecular mass, which is the mass of one molecule compared to another.
To understand why, we can use the concept of kinetic theory of gases. According to this theory, the average kinetic energy of gas molecules is directly related to their temperature. At the same temperature, different gas molecules have the same average kinetic energy.
Since the hydrogen molecule (H2) has a lower molecular mass compared to the oxygen molecule (O2), it means that it has less mass to carry compared to oxygen. As a result, the hydrogen molecules can move faster with the same amount of energy. On the other hand, the oxygen molecules have a larger molecular mass and hence move slower with the same energy.
Additionally, the lighter hydrogen molecules have a higher root mean square speed (the measure of the average speed of molecules in a gas). This means that on average, hydrogen molecules move faster than oxygen molecules in the mixture.
Overall, the difference in molecular masses between hydrogen and oxygen gases determines the difference in their speeds.