Question:medium
The ratio of rms speeds of helium gas molecules at a temperature of \(127^\circ\text{C}\) and oxygen gas molecules at a temperature of \(527^\circ\text{C}\) is
\[
(\text{Molar masses of helium and oxygen gases are }4\text{ and }32\text{ respectively})
\]
The ratio of rms speeds of helium gas molecules at a temperature of \(127^\circ\text{C}\) and oxygen gas molecules at a temperature of \(527^\circ\text{C}\) is
\[
(\text{Molar masses of helium and oxygen gases are }4\text{ and }32\text{ respectively})
\]
Show Hint
Remember,
\[
\boxed{
v_{\rm rms}=\sqrt{\frac{3RT}{M}}
}
\]
or
\[
\boxed{
v_{\rm rms}\propto\sqrt{\frac{T}{M}}.
}
\]
Always convert the temperature into Kelvin before substitution.
Updated On: Jul 18, 2026
- \(\sqrt2:1\)
- \(4:1\)
- \(2:1\)
- \(\sqrt8:1\)
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Thermodynamics
A real gas within a closed chamber at \( 27^\circ \text{C} \) undergoes the cyclic process as shown in the figure. The gas obeys the equation \( PV^3 = RT \) for the path A to B. The net work done in the complete cycle is (assuming \( R = 8 \, \text{J/molK} \)):
- MHT CET - 2024
- Physics
- Thermodynamics
- Two vessels \( A \) and \( B \) are of the same size and are at the same temperature. Vessel \( A \) contains \( 1 \, \text{g} \) of hydrogen and vessel \( B \) contains \( 1 \, \text{g} \) of oxygen. \( P_A \) and \( P_B \) are the pressures of the gases in \( A \) and \( B \) respectively. Then \( \frac{P_A}{P_B} \) is:
- MHT CET - 2024
- Physics
- Thermodynamics
- A mixture of one mole of monoatomic gas and one mole of diatomic gas (rigid) are kept at room temperature (\( 27^\circ \text{C} \)). The ratio of specific heat of gases at constant volume respectively is:
- MHT CET - 2024
- Physics
- Thermodynamics
- If the activation energy for the forward reaction is \( 150 \, \text{kJ/mol} \) and that of the reverse reaction is \( 260 \, \text{kJ/mol} \), what is the enthalpy change for the reaction?
- MHT CET - 2024
- Chemistry
- Thermodynamics
- Want to practice more? Try solving extra ecology questions todayView All Questions