If the rms velocity of hydrogen gas molecules is \(V_o\), find the rms velocity of oxygen molecules at same temperature :
\(V_o\)
\(\frac{V_o}{2}\)
\(\frac{V_o}{4}\)
\(\frac{V_o}{3}\)
The Correct Option is C
Solution and Explanation
The correct option is (C): \(\frac{V_o}{4}\)
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Concepts Used:
Gas Laws
The gas laws were developed at the end of the 18th century, when scientists began to realize that relationships between pressure, volume and temperature of a sample of gas could be obtained which would hold to approximation for all gases.
The five gas laws are:
- Boyle’s Law, which provides a relationship between the pressure and the volume of a gas.
- Charles’s Law, which provides a relationship between the volume occupied by a gas and the absolute temperature.
- Gay-Lussac’s Law, which provides a relationship between the pressure exerted by a gas on the walls of its container and the absolute temperature associated with the gas.
- Avogadro’s Law, which provides a relationship between the volume occupied by a gas and the amount of gaseous substance.
- The Combined Gas Law (or the Ideal Gas Law), which can be obtained by combining the four laws listed above.